Question 1

Find the position function of a particle moving along a coordinate line that satisfies the given conditions.

Accepted Answer

The answer of Find the position function of a particle...

Question 2

Select the correct Answer for each question.
-How many real roots does the equation   have in the interval

Accepted Answer

A) at most five real roots 
B) no real roots 
C) at most one real root 
D) at most two real roots 
E) at most three real roots 
A) at most five real roots 
B) no real roots 
C) at most one real root 
D) at most two real roots 
E) at most three real roots

Question 3

The graph of the derivative   of a continuous function f is shown.On what intervals is   decreasing?   .

Accepted Answer

The answer of The graph of the derivative  ...

Question 4

Consider the following problem: A farmer with   ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle.What is the largest possible total area of the four pens?

Accepted Answer

The answer of Consider the following problem: A farmer with...

Question 5

Find the point on the line   that is closest to the origin.

Accepted Answer

The answer of Find the point on the line ...

Question 6

For what values of   and   is (2, 2.5) is an inflection point of the curve     What additional inflection points does the curve have?

Accepted Answer

The answer of For what values of   and...

Question 7

Find the critical number(s) of the function.Select the correct Answer

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 8

Find the slant asymptote of the graph of   using the curve-sketching guidelines.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 9

Select the correct Answer for each question.
-Find all the critical numbers of the function.

Accepted Answer

A)    
B)    
C)    
D)    
E) None of these 
A)    
B)    
C)    
D)    
E) None of these

Question 10

The size of the monthly repayment   that amortizes a loan of A dollars in N years at an interest rate of r per year, compounded monthly, on the unpaid balance is given by   The value of r can be found by performing the iteration   A family secured a loan of $360,000 from a bank to finance the purchase of a house.They have agreed to repay the loan in equal monthly installments of $2342 over 25 years.Find the interest rate on this loan.Round the rate to one decimal place.

Accepted Answer

The answer of The size of the monthly repayment ...

Question 11

Evaluate the limit.

Accepted Answer

A) 9 
B) 0   
C)    
D)    
A) 9 
B) 0   
C)    
D)

Question 12

Select the correct Answer for each question.
-A production editor decided that a promotional flyer should have a 1-in.margin at the top and the bottom, and a   margin on each side.The editor further stipulated that the flyer should have an area of   Determine the dimensions of the flyer that will result in the maximum printed area on the flyer.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 13

Find two numbers whose difference is 170 and whose product is a minimum.

Accepted Answer

The answer of Find two numbers whose difference is 170...

Question 14

Estimate the extreme values of the function.Round theAnswers to the nearest hundredth.

Accepted Answer

The answer of Estimate the extreme values of the function.Round...

Question 15

Select the correct graph for the given function   Select the correct Answer

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 16

Given that the graph of f passes through the point (4, 69) and that the slope of its tangent line at   is   find

Accepted Answer

The answer of Given that the graph of f passes...

Question 17

Find the limit.

Accepted Answer

A)    
B)    
C)    
D) 5 
E) 0 
A)    
B)    
C)    
D) 5 
E) 0

Question 18

Find the absolute maximum and absolute minimum values, if any, of the function   on [0, 9]

Accepted Answer

Abs.max.

Question 19

Given   (a) Find the intervals on which   is increasing or decreasing.(b) Find the relative maxima and relative minima of

Accepted Answer

(a) Increasing on @#IMG-DLM& a

Question 20

Select the correct Answer for each question.
-Find the absolute maximum value of   on the interval

Accepted Answer

A) 7 
B) 5 
C) 8 
D) 6 
E) 4 
A) 7 
B) 5 
C) 8 
D) 6 
E) 4

Find the position function of a particle moving along a coordinate line that satisfies the given conditions.

Select the correct Answer for each question. -How many real roots does the equation have in the interval

The graph of the derivative of a continuous function f is shown.On what intervals is decreasing? .

Consider the following problem: A farmer with ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle.What is the largest possible total area of the four pens?

Find the point on the line that is closest to the origin.

For what values of and is (2, 2.5) is an inflection point of the curve What additional inflection points does the curve have?

Find the critical number(s) of the function.Select the correct Answer

Find the slant asymptote of the graph of using the curve-sketching guidelines.

Select the correct Answer for each question. -Find all the critical numbers of the function.

Evaluate the limit.

Find two numbers whose difference is 170 and whose product is a minimum.

Estimate the extreme values of the function.Round theAnswers to the nearest hundredth.

Select the correct graph for the given function Select the correct Answer

Given that the graph of f passes through the point (4, 69) and that the slope of its tangent line at is find

Find the limit.

Find the absolute maximum and absolute minimum values, if any, of the function on [0, 9]

Given (a) Find the intervals on which is increasing or decreasing.(b) Find the relative maxima and relative minima of

Select the correct Answer for each question. -Find the absolute maximum value of on the interval

Functions and Models

Limits and Derivatives

Differentiation Rules

Integrals

Applications of Integration

Techniques of Integration

Further Applications of Integration

Differential Equations

Parametric Equations and Polar Coordinates

Infinite Sequences and Series

Vectors and the Geometry of Space

Vector Functions

Partial Derivatives

Multiple Integrals

Vector Calculus

Second-Order Differential Equations

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Exam 4: Applications of Differentiation

Find the position function of a particle moving along a coordinate line that satisfies the given conditions.

Select the correct Answer for each question. -How many real roots does the equation have in the interval

The graph of the derivative of a continuous function f is shown.On what intervals is decreasing? .

Consider the following problem: A farmer with ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle.What is the largest possible total area of the four pens?

Find the point on the line that is closest to the origin.

For what values of and is (2, 2.5) is an inflection point of the curve What additional inflection points does the curve have?

Find the critical number(s) of the function.Select the correct Answer

Find the slant asymptote of the graph of using the curve-sketching guidelines.

Select the correct Answer for each question. -Find all the critical numbers of the function.

Evaluate the limit.

Find two numbers whose difference is 170 and whose product is a minimum.

Estimate the extreme values of the function.Round theAnswers to the nearest hundredth.

Select the correct graph for the given function Select the correct Answer

Given that the graph of f passes through the point (4, 69) and that the slope of its tangent line at is find

Find the limit.

Find the absolute maximum and absolute minimum values, if any, of the function on [0, 9]

Given (a) Find the intervals on which is increasing or decreasing.(b) Find the relative maxima and relative minima of

Select the correct Answer for each question. -Find the absolute maximum value of on the interval

Functions and Models

Limits and Derivatives

Differentiation Rules

Integrals

Applications of Integration

Techniques of Integration

Further Applications of Integration

Differential Equations

Parametric Equations and Polar Coordinates

Infinite Sequences and Series

Vectors and the Geometry of Space

Vector Functions

Partial Derivatives

Multiple Integrals

Vector Calculus

Second-Order Differential Equations

Filters