Question 1

Calculate the derivative.

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Question 2

Evaluate the integral.

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Question 3

Evaluate the integral.

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The answer of Evaluate the integral.  ...

Question 4

Find the derivative of the function.

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Question 5

Find the derivative of the function.

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Question 6

Find the derivative of the function.

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Question 7

Use the formula for   to simplify the expression   .

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Question 8

Find the derivative of the function.

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Question 9

Find the derivative of the function.

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Question 10

Sales of computers are subject to seasonal fluctuations. Computer City s sales of computers in 1995 and 1996 can be approximated by the function   where t is time in quarters ( t = 1 represents the end of the first quarter of 1995 )and s ( t )is computer sales ( quarterly revenue )in billions of dollars. Estimate Computer City s maximum and minimum quarterly revenue from computer sales.

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Question 11

The cost of Dig-It brand snow shovels is given by   where t is time in years since January 1, 1997. How fast, in dollars per year, is the cost increasing on October 30, 1997?

Accepted Answer

A) $21.99 per year 
B) $14 per year 
C) $45.98 per year 
D) $46.98 per year 
E) $43.98 per year 
A) $21.99 per year 
B) $14 per year 
C) $45.98 per year 
D) $46.98 per year 
E) $43.98 per year

Question 12

Model the curve with a cosine function.   Note that the period of the curve is   and its range is   .

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Question 13

The uninflated cost of Dugout brand snow shovels currently varies from a high of $22 on January 1 ( t = 0 )to a low of $8 on July 1 ( t = 0.5). Assuming this trend were to continue indefinitely, calculate the uninflated cost   of Dugout snow shovels as a function of time t in years. (Use a sine function.)

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Question 14

Evaluate the integral.

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Question 15

Evaluate the integral.

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Question 16

Evaluate the integral.

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Question 17

Find the derivative of the function.

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Question 18

Find the derivative of the function.

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Question 19

Find the derivative of the function.

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Question 20

Find the derivative of the function.

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Calculate the derivative.

Evaluate the integral.

Evaluate the integral.

Find the derivative of the function.

Find the derivative of the function.

Find the derivative of the function.

Use the formula for to simplify the expression .

Find the derivative of the function.

Find the derivative of the function.

The cost of Dig-It brand snow shovels is given by where t is time in years since January 1, 1997. How fast, in dollars per year, is the cost increasing on October 30, 1997?

Model the curve with a cosine function. Note that the period of the curve is and its range is .

Evaluate the integral.

Evaluate the integral.

Evaluate the integral.

Find the derivative of the function.

Find the derivative of the function.

Find the derivative of the function.

Find the derivative of the function.

Functions and Linear Models

Nonlinear Functions and Models

Introduction to the Derivative

Techniques of Differentiation With Applications

Further Applications of the Derivative

The Integral

Further Integration Techniques and Applications of the Integral

Functions of Several Variables

Filters

Exam 9: Trigonometric Models

Calculate the derivative.

Evaluate the integral.

Evaluate the integral.

Find the derivative of the function.

Find the derivative of the function.

Find the derivative of the function.

Use the formula for to simplify the expression .

Find the derivative of the function.

Find the derivative of the function.

The cost of Dig-It brand snow shovels is given by where t is time in years since January 1, 1997. How fast, in dollars per year, is the cost increasing on October 30, 1997?

Model the curve with a cosine function. Note that the period of the curve is and its range is .

Evaluate the integral.

Evaluate the integral.

Evaluate the integral.

Find the derivative of the function.

Find the derivative of the function.

Find the derivative of the function.

Find the derivative of the function.

Functions and Linear Models

Nonlinear Functions and Models

Introduction to the Derivative

Techniques of Differentiation With Applications

Further Applications of the Derivative

The Integral

Further Integration Techniques and Applications of the Integral

Functions of Several Variables

Filters