Runpeng Li

Iowa State University of Science and Technology
Tutor

Biography

Master of Science in mathematics. Pursuing PhD in UC Riverside

Education

BA Math
Iowa State University of Science and Technology
MS Math
Northeastern University
Phd Math
University of California, Riverside

Educator Statistics

Numerade tutor for 7 years
281 Students Helped

Topics Covered

Polar Coordinates: Understanding the Basics and Applications
Mastering Matrices: An Introduction to the Fundamentals
Unlock the Power of Vectors: Discover Their Limitless Possibilities
Introduction to Sequences and Series
Exploring the World of Derivatives: A Comprehensive Guide
Applications of the Derivative

Runpeng's Textbook Answer Videos

35:28
Calculus of a Single Variable

Finding Points of Intersection In Exercises $27-34$ , find the points of intersection of the graphs
of the equations.
$$r=1+\cos \theta$$
$$r=1-\sin \theta$$

Chapter 10: Conics, Parametric Equations, and Polar Coordinates
Section 5: Area and Arc Length in Polar Coordinates
Runpeng Li
00:40
Thomas Calculus

Using the definition, calculate the derivatives of the functions. Then find the values of the derivatives as specified.
$$
f(x)=4-x^{2} ; \quad f^{\prime}(-3), f^{\prime}(0), f^{\prime}(1)
$$

Chapter 3: Derivatives
Section 2: The Derivative as a Function
Runpeng Li
01:31
Thomas Calculus

Using the definition, calculate the derivatives of the functions. Then find the values of the derivatives as specified.
$$
g(t)=\frac{1}{t^{2}} ; \quad g^{\prime}(-1), g^{\prime}(2), g^{\prime}(\sqrt{3})
$$

Chapter 3: Derivatives
Section 2: The Derivative as a Function
Runpeng Li
00:55
Thomas Calculus

Using the definition, calculate the derivatives of the functions. Then find the values of the derivatives as specified.
$$
p(\theta)=\sqrt{3 \theta} ; \quad p^{\prime}(1), p^{\prime}(3), p^{\prime}(2 / 3)
$$

Chapter 3: Derivatives
Section 2: The Derivative as a Function
Runpeng Li
00:25
Thomas Calculus

Find the indicated derivatives.
$$
\frac{d y}{d x} \text { if } y=2 x^{3}
$$

Chapter 3: Derivatives
Section 2: The Derivative as a Function
Runpeng Li
00:52
Thomas Calculus

Find the indicated derivatives.
$$
\frac{d s}{d t} \text { if } s=\frac{t}{2 t+1}
$$

Chapter 3: Derivatives
Section 2: The Derivative as a Function
Runpeng Li
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