Question 1

Find the derivative of   .

Accepted Answer

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D)    
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Question 2

An investment compounded continuously will be worth   , where A is the investment in dollars, r is the annual interest rate, and t is the time in years. APY can be defined as   , the relative increase of worth in one year. Find the APY for an interest rate of 7%. Express the APY as a percent rounded to 2 decimal places.

Accepted Answer

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C)    
D)    
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D)

Question 3

Graph the function.

Accepted Answer

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Question 4

Use logarithmic differentiation to find the derivative of the given function.   .

Accepted Answer

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D)

Question 5

Evaluate the integral.

Accepted Answer

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Question 6

Find the derivative of   .

Accepted Answer

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A)    
B)    
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D)

Find the derivative of .

Graph the function.

Use logarithmic differentiation to find the derivative of the given function. .

Evaluate the integral.

Find the derivative of .

Preliminaries

Limits and Continuity

Differentiation

Applications of the Derivative

Integration

Applications of the Definite Integral

Integration Techniques

First-Order Differential Equations

Infinite Series

Parametric Equations and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables and Partial Differentiation

Multiple Integrals

Vector Calculus

Second Order Differential Equations

Filters

Exam 7: Exponentials, Logarithms and Other Transcendental Functions

Find the derivative of .

Graph the function.

Use logarithmic differentiation to find the derivative of the given function. .

Evaluate the integral.

Find the derivative of .

Preliminaries

Limits and Continuity

Differentiation

Applications of the Derivative

Integration

Applications of the Definite Integral

Integration Techniques

First-Order Differential Equations

Infinite Series

Parametric Equations and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables and Partial Differentiation

Multiple Integrals

Vector Calculus

Second Order Differential Equations

Filters