Question 1

Evaluate   by interpreting it in terms of areas.

Accepted Answer

The answer of Evaluate   by interpreting it in...

Question 2

Determine a region whose area is equal to   .

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Question 3

Evaluate the integral.

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Question 4

Evaluate by interpreting it in terms of

Accepted Answer

The answer of Evaluate by interpreting it in terms of...

Question 5

The velocity function (in meters per second)is given for a particle moving along a line.Find the distance traveled by the particle during the given time interval.

Accepted Answer

A)  68 m 
B)  100 m 
C)  64 m 
D)  36 m 
E)  72 m 
A)  68 m 
B)  100 m 
C)  64 m 
D)  36 m 
E)  72 m

Question 6

If   and   ,find   .

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Question 7

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.

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Question 8

Evaluate the Riemann sum for   with four subintervals,taking the sample points to be right endpoints.

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Question 9

Evaluate the integral.

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Evaluate by interpreting it in terms of areas.

Determine a region whose area is equal to .

Evaluate the integral.

Evaluate by interpreting it in terms of areas

The velocity function (in meters per second)is given for a particle moving along a line.Find the distance traveled by the particle during the given time interval.

If and ,find .

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.

Evaluate the Riemann sum for with four subintervals,taking the sample points to be right endpoints.

Evaluate the integral.

Functions and Limits

Derivatives

Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions

Integrals

Techniques of Integration

Applications of Integration

Series

Parametric Equations and Polar Coordinates

Ectors and the Geometry of Space

Partial Derivatives

Multiple Integrals

Vector Calculus

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Exam 4: Applications of Differentiation

Evaluate by interpreting it in terms of areas.

Determine a region whose area is equal to .

Evaluate the integral.

Evaluate by interpreting it in terms of areas

The velocity function (in meters per second)is given for a particle moving along a line.Find the distance traveled by the particle during the given time interval.

If and ,find .

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.

Evaluate the Riemann sum for with four subintervals,taking the sample points to be right endpoints.

Evaluate the integral.

Functions and Limits

Derivatives

Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions

Integrals

Techniques of Integration

Applications of Integration

Series

Parametric Equations and Polar Coordinates

Ectors and the Geometry of Space

Partial Derivatives

Multiple Integrals

Vector Calculus

Filters