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Yiming Zhang

University of Illinois at Urbana-Champaign

Biography

Yiming is a master student in applied mathematics at the University of Illinois. He loves teaching and sharing his knowledge to people.

Education

MS Applied Mathematics
University of Illinois at Urbana-Champaign

Topics Covered

Derivatives
Differentiation
Vectors
Sequences
Series
Integration
Integration Techniques
Functions
Partial Derivatives
Functions of Several Variables
Applications of Integration
Limits
Integrals
Multiple Integrals
Vector Functions
Polynomials
Vector Calculus
Introduction to Vectors
Parametric Equations
Polar Coordinates
Parametric Equations
Differential Equations

Yiming's Textbook Answer Videos

03:40
Calculus: Early Transcendentals

The city of New Orleans is located at latitude 30 $ ^{\circ} N $. Use Figure 9 to find a function that models the number of hours of daylight at New Orleans as a function of the time of year. To check the accuracy of your model, use the fact that on March 31 the sun rises at 5:51 am and sets at 6:18 pm in
New Orleans.

Chapter 1: Functions and Models
Section 3: New Functions from Old Functions
Yiming Zhang
01:40
Calculus: Early Transcendentals

A spring has a natural length of 40 cm. If a 60-N force is required to keep the spring compressed 10 cm, how much work is done during this compression? How much work is required to compress the spring to a length of 25 cm?

Chapter 6: Applications of Integration
Section 4: Work
Yiming Zhang
02:00
Calculus: Early Transcendentals

Suppose that 2 J of work is needed to stretch a spring from its natural length of 30 cm to a length of 42 cm.
(a) How much work is needed to stretch the spring from 35 cm to 40 cm?
(b) How far beyond its natural length will a force of 30 N keep the spring stretched?

Chapter 6: Applications of Integration
Section 4: Work
Yiming Zhang
01:19
Calculus: Early Transcendentals

If the work required to stretch a spring 1 ft beyond its natural length is 12 ft-lb, how much work is needed to stretch it 9 in. beyond its natural length?

Chapter 6: Applications of Integration
Section 4: Work
Yiming Zhang
01:40
Calculus: Early Transcendentals

A spring has natural length 20 cm. Compare the work $ W_1 $ done in stretching the spring from 20 cm to 30 cm with the work $ W_2 $ done in stretching it from 30 cm to 40 cm. How are $ W_2 $ and $ W_1 $ related?

Chapter 6: Applications of Integration
Section 4: Work
Yiming Zhang
01:48
Calculus: Early Transcendentals

If 6 J of work is needed to stretch a spring from 10 cm to 12 cm and another 10 J is needed to stretch it from 12 cm to 14 cm, What is the natural length of the spring?

Chapter 6: Applications of Integration
Section 4: Work
Yiming Zhang
1 2 3 4 5 ... 85

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