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Katelyn Chen

Westview High School

Biography

I have a passion for tutoring students in math and helping them thrive. I've tutored multiple students in a variety of subjects.

Education

BA N/A
Westview High School

Topics Covered

Differential Equations
Sequences
Series
Right Triangles
Introduction to Trigonometry
Trigonometry
Limits
Integrals
Integration
Integration Techniques
Circles
An Introduction to Geometry
Graph Linear Functions
Derivatives
Differentiation
Applications of the Derivative
Area and Perimeter
Ratio, Proportion, and Measurement
Surface Area
Volume
Fractions and Mixed Numbers
Equations and Inequalities
Complex Numbers
Polynomials
Applications of Integration
Rational Functions
Logic
Relationships Within Triangles
Applications of Trigonometric Functions
Graphing Trigonometry Functions
Polar Coordinates
Vectors
Percent
Parallel and Perpendicular lines
Congruent Triangles
Exponential and Logarithmic Functions
inverse functions
Functions
Foundations for Geometry
Graphs and Statistics
Linear Functions
Angles
Introduction to Conic Sections
Geometry Basics
Properties of Quadrilaterals
Functions
Continuous Functions

Katelyn's Textbook Answer Videos

01:00
Calculus of a Single Variable

Formal Definition of Limit Given the limit

$\lim _{x \rightarrow 2}(2 x+1)=5$
use a sketch to show the meaning of the phrase
$$" 0<|x-2|<0.25$ implies $|(2 x+1)-5|<0.5"$$

Chapter 1: Limits and Their Properties
Section 2: Finding Limits Graphically and Numerically
Katelyn Chen
02:14
Calculus of a Single Variable

Estimating a Limit Numerically In Exereises $11-18$ ,create a table of values for the function and use the result to estimate the limit. Use a graphing utility to graph the function to confirm your result.

$$\lim _{x \rightarrow-3} \frac{x^{3}+27}{x+3}$$

Chapter 1: Limits and Their Properties
Section 2: Finding Limits Graphically and Numerically
Katelyn Chen
04:52
Calculus of a Single Variable

Finding a $\delta$ for a Given $\varepsilon$ Repeat Exercise 37 for $\varepsilon=0.05,0.01,$ and $0.005 .$ What happens to the value of $\delta$ as the value of $\varepsilon$ gets smaller?

Chapter 1: Limits and Their Properties
Section 2: Finding Limits Graphically and Numerically
Katelyn Chen
03:24
Calculus of a Single Variable

Finding a $\delta$ for a Given $\varepsilon$ In Exercises $39-44,$ find the limit $L .$ Then find $\delta$ such that $|f(x)-L|<\varepsilon$ whenever $0<|x-c|<\delta$ for (a $)$ $\varepsilon=0.01$ and $(b) \varepsilon=0.005 .$

$$\lim _{x \rightarrow 6}\left(6-\frac{x}{3}\right)$$

Chapter 1: Limits and Their Properties
Section 2: Finding Limits Graphically and Numerically
Katelyn Chen
01:31
Calculus of a Single Variable

Finding a $\delta$ for a Given $\varepsilon$ In Exercises $39-44,$ find the limit $L .$ Then find $\delta$ such that $|f(x)-L|<\varepsilon$ whenever $0<|x-c|<\delta$ for (a $)$ $\varepsilon=0.01$ and $(b) \varepsilon=0.005 .$

$$\lim _{x \rightarrow 4}\left(x^{2}+6\right)$$

Chapter 1: Limits and Their Properties
Section 2: Finding Limits Graphically and Numerically
Katelyn Chen
01:44
Calculus of a Single Variable

Finding a $\delta$ for a Given $\varepsilon$ In Exercises $39-44,$ find the limit $L .$ Then find $\delta$ such that $|f(x)-L|<\varepsilon$ whenever $0<|x-c|<\delta$ for (a $)$ $\varepsilon=0.01$ and $(b) \varepsilon=0.005 .$
$$\lim _{x \rightarrow 3} x^{2}$$

Chapter 1: Limits and Their Properties
Section 2: Finding Limits Graphically and Numerically
Katelyn Chen
1 2 3 4 5 ... 582

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