Profrobbob

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Complex (imaginary) Numbers Part 1

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20.09.2011

I introduce complex numbers, show how i-squared is -1, show how to graph them on the argand diagram, and then go through a number of algebraic examples showing how to work with them. Part 2 of this lesson 🤍 Check out 🤍, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Limits & Continuity Please Read the Description

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01.05.2012

I explain how to test for Continuity at a given point and find Discontinuities in functions. I finish by working through a couple of examples. EXAMPLES 4:57 10:57. Though I say smooth and continuous a few times in this video, a function does not have to be smooth to be continuous. Check out 🤍, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Right Triangle Trigonometry Part 1: Finding Missing Sides

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10.11.2011

I introduce evaluating trigonometric functions about a right triangle. We will set up the trig ratios given a right triangle, and find missing angle measures, and sides of right triangles using the pythagorean theorm and the trig functions. Check out 🤍, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Solving Equations with Logarithms Pt 1

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28.10.2011

PLEASE NOTE my final answer at 10:26 should be 3.968. There is an annotation correction but you can only see this if using FLASH. In a three part video I do many examples of solving equations using logarithms to move the variable out of the exponent. In part two we remove logarithms from the equation to solve for X. Here are my other PreCalculus lessons involving Logarithms 🤍 Check out 🤍, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Long Division of Polynomials

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30.09.2011

I introduce long division and go over two examples. I also preview how long division will allow you to solve higher order equations. Check out 🤍, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Review of Basic Integration Rules Calculus 1 AB - 6 Examples

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04.03.2014

If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob Examples of not so easy integration using the Basic Integration Rules at 2:57 7:44 11:22 19:08 22:38 34:16 I would like to send out a HUGE THANK YOU to my YouTube student Jigyasa Nigam that did the Closed Captioning of this lesson for me. Your support and help is greatly appreciated:D Check out 🤍, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Transformation of Functions

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06.10.2011

I cover transformations of vertical and horizontal slides, vertical stretch, horizontal and vertical reflections to help you draw quick sketches of some common graphs. Here is a newer version of this lesson with more examples, 🤍 Check out 🤍, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Verifying Trigonometric Identities Pt 1

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27.10.2012

Using the fundemental identities and the Pythagorean Identities, I go over multiple examples of verifying trigonometric identities. It is very important in proofs that you do not handle it like an equation moving terms and factors from side to side. NOTE from: Rick A We should use the 'triple hyphen' to indicate an identity instead of an equation so students don't think your solving an equation. I get this notion from recalling the textbooks from my high-school days. I was corrected that what I am trying to prove should not be within the body of the proof. This implies it has already been assumed to be true. So proofs should be shown like this example: cos^2(x)(tan^2(x)+1)=1 Proof: cos^2(x)(tan^2(x)+1)=cos^2(x)*sec^2(x) =cos^2(x)(1/cos^2(x)) =1 Verifying Trigonometric Identities Part 2 🤍 Verifying Trigonometric Identities Part 3 🤍 Check out 🤍, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Logarithm Introduction

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00:14:26
25.10.2011

I introduce logarithms and show how to convert from logarithm form to exponential form. Yes, I know I mispelled logarithm on the chalk board. I blame it on the cold medicine I was taking! Here are my other PreCalculus lessons involving Logarithms 🤍 Check out 🤍, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Solving Rational Inequalities

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11.10.2011

I introduce solving rational inequalities. After showing you the steps you should follow for these types of problems I work through two examples. In the second example I write less than 0 in the second through forth line of work. That should read less than or equal to. ...also negative 7 plus 5 is negative 2 not negative 3, the answer is correct but the annotation corrections have been removed by YouTube:( Check out 🤍, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Translating Word Problems into Equations 6 Examples

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00:45:45
30.03.2014

If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob I work through 6 EXAMPLES at 4:36 9:56 16:25 23:35 29:55 37:42 to try and help you understand how to convert word problems that you may see at the beginning of your Algebra 1 studies into equations. NOTE: There is an annotation correction at 28:50 which you will not see without FLASH. If you do not have FLASH you can watch this video to see the correction. 🤍 If you need help solving linear equations, please check out these lessons 🤍 Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Graphing Parabolas w/ vertex & intercepts

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21.09.2011

I introduce the standard form of parabola and relate it to the transformations we just learned. I then graph a parabola in it's general form finding its vertex and X & Y intercepts. Check out 🤍, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

10 Year YouTube Anniversary 4K

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06.09.2021

Thank you to everyone who has been subscribers to my channel over the years and to my new subscribers. I love teaching math and I am honored that you allow me to help you learn math through the magic of YouTube. I promise to keep making new content while I strive to improve my teaching and video quality. My number one goal is to help you achieve your goals in life:) Check out 🤍, there you will find my lessons organized by chapters within each subject. If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Complex Numbers in Polar Form

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00:12:35
14.01.2012

I explain the relationhip between complex numbers in rectangular form and polar form. I also do an example of converting back and forth between the two forms. At time 9:57 I should say...Converting from Polar to Rectangular is very simple. Converting from Rectangular to Polar requires you to think about the final theta measure. Check out 🤍, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Solving Equations with Complex Numbers 4 Examples

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03.10.2019

I work through 4 examples finding complex numbers which satisfy a given equation at 0:52 7:58 11:06 17:45 25:06 Check out 🤍, there you will find my lessons organized by chapters within each subject. If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Solving Rational Equations

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09.06.2012

We start looking at solving equations and inequalities that involve fractions. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Visually identifying key characteristics of graphs.

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03.09.2011

How to identify key features of graphs such as relative maximum and minimum, zeros, domain, range, and y-intercept. We will also state the intervals where the graph is increasing, decreasing, and constant. Check out 🤍, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Fundamental Trigonometric Identities Intro & Proofs

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00:14:03
08.11.2011

I introduce and prove the Fundamental Trigonomic Identities...the Quotient Identities, Reciprocal Identities, and the Pythagorian Identities. I like this tip!!! Darren Bonura: My teacher taught us "No Co-Co" as in Cosine doesn't equal Cosecant. Just a helpful way to remember it. That way Cosine has to equal Secant and thus Sine equals Cosecant. Check out 🤍, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Cursive Writing Tutorial including Lower Case

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16.12.2013

I show how I write my cursive lower case and upper case letters. My cursive writing is mostly "influenced" by the calligraphy font copperplate script. Cursive Tutorial Number Edition 🤍 If you find you love calligraphy and you want to see where it can take you, here is a video showing the work and thoughts of a master calligrapher 🤍 Check out 🤍, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Introduction to Vectors

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04.02.2012

In this admittedly long winded video I introduce the basic vocabulary and concepts of vectors. Included definition/concepts are magnitude, direction, horizonal and vertical components, equal & opposite vectors, zero vector, unit vector, scaler multiple. I include examples of adding & subtracting vectors both graphically ( Tip to Tail Method ) and numerically, applying a scaler multiple, and coverting vectors writing in terms of their horizontal & verical components into direction and magnitude. Here are all of my Vector lessons, 🤍 Here are all of my Vector lessons, 🤍 Check out 🤍, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Ambiguous Case for Law of Sines, Please read description

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05.01.2012

I introduce solving oblique triangles when the information given is in the SSA form...or the ambiguous case. In this setting there may be one solution, two solutions, or none at all. I Made a NEW lesson for Law of Sine Ambiguous Case 🤍 NOTE: At minute 14:37 I incorrectly stated 61*sin(39)=37.8, it is 38.4. At minute 16:50 I state that angle B is 48.4 degrees. I hit the wrong button, it is 50.2 degrees. There are annotation corrections, though they will not be visible on an iPhone or iPad. I am very sorry for the errors. Check out 🤍, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Basic Differentiation Rules Calculus 1 AB

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09.05.2012

NOTE: I forgot a minus sine in the Sum and Difference rules. The right side should read f'(x)+or-g'(x). Also, on the first page of notes it should read f'(x)=(1/5)x^(-4/5), I wrote x^(-4/5). Annotation corrections are in the video, but not visible without Flash. I introduce the basic differentiation rules which include Constant Rule, Constant Multiple Rule, Power Rule, and Sum/Differece Rule. Many examples are worked through the video. Please help Close Caption this lesson 🤍 Sending out a HUGE thank you to Rose Cabug for your help Close Captioning this math lesson... BAM! Check out 🤍, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Equations of Lines and Graphing

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01.09.2011

Continued discussion about equations of lines and the three equation forms. Graphing of linear functions also included. I graph vertical and horizontal lines, lines from Slope Intercept form, and lines in Standard From using x and y intercepts. Please check out my other lessons about Linear Functions: Graphing Lines in Slope-Intercept form y=mx+b 🤍 Standard Form of a Line 🤍 Graphing lines using X & Y Intercepts 🤍 Slope and Equations of Lines 🤍 Equations of parallel and perpendicular lines 🤍 Regression Lines and Correlation with TI-84 🤍 Linear Functions, their Attributes, & Interpreting Slope and y-Intercept 🤍 Check out 🤍ProfRobBob.com, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Graphing Rational Functions Part 1

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07.10.2011

I show how to graph a rational function with a vertical and horizontal asymptote, x-intercepts, y-intercepts, and even or odd symmetry. *Thank you Megan S. for your donation to get this video Closed Captioned:) Check out 🤍, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Inverse Functions

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13.09.2011

A graphic and algebraic approach to finding inverse functions. Definition of the Inverse of a Function Let f and g be two functions such that f(g(x)) = x for every x in the domain of g and g(f(x)) = x for all x in the domain of f. Check out 🤍, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Solving Rational Equations 3 Examples

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11.12.2020

I work through three examples of solving rational equations, equations with algebraic fractions. The examples begin at 1:43 7:21 14:33 Check out 🤍, there you will find my lessons organized by chapters within each subject. If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Evaluating Trig Functions w/ Unit Circle Degrees & Radians

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08.11.2011

I go over many example of evaluating trigonometry functions in exact form using the unit circle. Check out 🤍, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Intro to Sequences

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08.03.2012

I introduce the concept and notation for sequences and finish with a couple of graphing examples. I then explain recursive formulas and do another 2 examples showing you how they work. For all my lessons on Sequences and Series go here:) 🤍 Find free review test, useful notes and more at 🤍 I would like to send out a huge THANK YOU to codeKhor for doing the Close Captioning for this video:) BAM!!! If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Logarithmic Differentiation Derivative of a Fraction

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16.03.2020

I take the derivative of a complex fraction using Logarithmic Differentiation and Implicit Differentiation. This difficult example would be much more work if your only tools were the Product Rule and Quotient Rule. Check out 🤍, there you will find my lessons organized by chapters within each subject. If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Induction Proofs

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05.04.2012

I introduce the steps to doing an Induction Proof. I then work through three examples that I hope will help you understand the concept and complete your homework:) More Induction Proofs: Induction Proof for Divisibility: 🤍 Induction Proof of Inequality: 🤍 Check out 🤍, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Solving Linear Equations

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01.09.2011

5 steps to solve many of the linear equations in algebra. *CORRECTION: 🤍 7:57 "Fifteen times ten is gonna be a hundred and fifteen ...NO it will be 150!!!...thanks John Nolan for catching that:) Check out 🤍, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

De Moivre's Theorem powers of Polar Complex Numbers

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19.01.2012

I explain how to raise complex numbers in polar form by very high powers by using De Moivre's Theorem. The first example starts at 6:13 Check out 🤍, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Limits of Trigonometric Functions Calculus 1 AB

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05.09.2012

I introduce finding limits that involve trigonometric functions. This video includes 6 examples at 2:33 7:27 8:53 13:24 14:21 15:58 18:24 21:27 Check out 🤍, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Factoring Quadratic Trinomial x^2+bx+c Polynomial

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06.06.2012

I explain how to factor quadratic trinomials that have a leading coefficient of 1 and then work through many examples. Here you can find a selection of my Factoring Lessons 🤍 Check out 🤍, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Discrete & Continuous Variables Part 1

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18.11.2011

I define and compare the two types of Random Variables in AP Statistics...Discrete & Continuous. The formulas for finding the mean and standard deviation of a discrete random variables are introduced, and I also review the old mean and standard deviation formulas that the calculators does when you do 1 Var Stats. Many old concepts are reviewed in this video such as probability models, z-scores, normality, degrees of freedom, etc. Check out 🤍, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Intro to Geometric Sequences

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15.03.2012

I introduce the concept of Geometric Sequences and writing the general formula for this type of sequence. I finish by working through several examples. For all my lessons on Sequences and Series go here:) 🤍 Check out 🤍, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Rolle's Theorem Calculus 1 AB

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23.05.2012

I introduce Rolle's Theorem and work through two examples. My first diagram in my explanation of Rolle's Theorem, should have labelled function f not g. Part of the video was removed because you can see at 6:44 I wrote x as the square root of x squared, well that is equivalent to the absolute value of x. This did not change my final answer, where is the tangent horizontal, but I inadvertently changed the function. The correct process is displayed in the following scene. Check out 🤍, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Composition of Functions

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12.09.2011

I introduce composition of functions and discuss domain. Check out 🤍, there you will find my lessons organized by class/subject and then by topics within each class. Check out 🤍, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Solving Compound Interest Problems PLEASE READ DESCRIPTION:)

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01.11.2011

I go over examples involving compound growth and continuous compound growth. Some examples require the use of logarithms to solve for an unknown time period. I apologize that this video has some inconsistent rounding errors. The answer to the first equation without round off error is $40387.39 Here are my other PreCalculus lessons involving Logarithms 🤍 Check out 🤍, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

Congruent Angles

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14.09.2012

I introduce geometry theorems that involve congruent angles such as vertical angles. I work through a couple of examples and do a 2 column proof of the Vertical Angle Theorem. EXAMPLES at 2:08 6:54 10:40 Find free review test, useful notes and more at 🤍 If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage 🤍YouTube.com/Profrobbob

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