Question 1

Accepted Answer

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

Question 2

Determine whether the statement is true or false.
In using Simpson's rule, the number of subintervals n may be chosen to be even.

Accepted Answer

A) True 
 B)False

Question 3

Use the formula   to find the integral.

Accepted Answer

The answer of Use the formula   to find...

Question 4

Find the indefinite integral.

Accepted Answer

The answer of Find the indefinite integral.  ...

Question 5

Determine whether the statement is true or false.
If   is a probability density function of a continuous random variable   in the interval   , then the expected value of   is given by

Accepted Answer

A) True 
 B)False

Question 6

Determine whether the given function is a probability density function on the specified interval.

Accepted Answer

A) no 
B) yes 
A) no 
B) yes

Question 7

Find the function f given that the slope of the tangent line to the graph of f at any point   and that the graph passes through the point (0, 3).

Accepted Answer

The answer of Find the function f given that the...

Question 8

Determine whether the statement is true or false.
If   exists, then   exists and   .

Accepted Answer

A) True 
 B)False

Question 9

Suppose the time intervals between arrivals of successive cars at an expressway tollbooth during rush hour are exponentially distributed and that the average time interval between arrivals is 8 seconds.Find the probability that the average time interval between arrivals of successive cars is more than 8 seconds.
Round your answer to two decimal places.

Accepted Answer

The answer of Suppose the time intervals between arrivals of...

Question 10

Use the formula   to find the integral.

Accepted Answer

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

Question 11

Evaluate the improper integral if it is convergent.

Accepted Answer

A) 3 
B) -3 
C) 2 
D) 4 
E) divergent 
A) 3 
B) -3 
C) 2 
D) 4 
E) divergent

Question 12

Determine whether the given function is a probability density function on the specified interval.

Accepted Answer

A) yes 
B) no 
A) yes 
B) no

Question 13

In a study conducted by a certain country's Economic Development Board regarding the income distribution of certain segments of the country's workforce, it was found that the Lorentz curve for the distribution of income of college professors is described by the function   Compute the coefficient of inequality of the Lorentz curve.Round to two decimal places.
Hint: Use the formula   .

Accepted Answer

The answer of In a study conducted by a certain...

Question 14

Find the area of the region under the given curve   over the indicated interval.

Accepted Answer

A) 10 sq units 
B) 12 sq units 
C) 9 sq units 
D) 6 sq units 
A) 10 sq units 
B) 12 sq units 
C) 9 sq units 
D) 6 sq units

Question 15

The velocity of a dragster t seconds after leaving the starting line is   ft/sec.What is the distance covered by the dragster in the first 12 seconds of its run? Round the answer to the nearest whole number.

Accepted Answer

A) 595 ft 
B) 1,306 ft 
C) 358 ft 
D) 832 ft 
E) 1,069 ft 
A) 595 ft 
B) 1,306 ft 
C) 358 ft 
D) 832 ft 
E) 1,069 ft

Question 16

Find the area of the region under the graph of   from x = 1 to x = 2.

Accepted Answer

The answer of Find the area of the region under...

Question 17

Determine the value of the constant k so that the function   is a probability density function on the interval   .

Accepted Answer

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

Question 18

Use the table of integrals to find the integral.

Accepted Answer

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

Question 19

Find a bound on the error in approximating the definite integral   Please round your answers to seven decimal places.
Using the trapezoidal rule with 6 intervals.
Using Simpson's rule with 6 intervals.

Accepted Answer

The answer of Find a bound on the error in...

Question 20

Determine the value of the constant k so that the function   is a probability density function on the interval   .

Accepted Answer

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

Determine whether the statement is true or false. In using Simpson's rule, the number of subintervals n may be chosen to be even.

Use the formula to find the integral.

Find the indefinite integral.

Determine whether the statement is true or false. If is a probability density function of a continuous random variable in the interval , then the expected value of is given by

Determine whether the given function is a probability density function on the specified interval.

Find the function f given that the slope of the tangent line to the graph of f at any point and that the graph passes through the point (0, 3).

Determine whether the statement is true or false. If exists, then exists and .

Use the formula to find the integral.

Evaluate the improper integral if it is convergent.

Determine whether the given function is a probability density function on the specified interval.

Find the area of the region under the given curve over the indicated interval.

The velocity of a dragster t seconds after leaving the starting line is ft/sec.What is the distance covered by the dragster in the first 12 seconds of its run? Round the answer to the nearest whole number.

Find the area of the region under the graph of from x = 1 to x = 2.

Determine the value of the constant k so that the function is a probability density function on the interval .

Use the table of integrals to find the integral.

Find a bound on the error in approximating the definite integral Please round your answers to seven decimal places. Using the trapezoidal rule with 6 intervals. Using Simpson's rule with 6 intervals.

Determine the value of the constant k so that the function is a probability density function on the interval .

Preliminaries

Functions, Limits and the Derivative

Differentiation

Applications of the Derivative

Exponential and Logarithmic Functions

Integration

Calculus of Several Variables

Filters

Exam 7: Additional Topics in Integration

Determine whether the statement is true or false. In using Simpson's rule, the number of subintervals n may be chosen to be even.

Use the formula to find the integral.

Find the indefinite integral.

Determine whether the statement is true or false. If is a probability density function of a continuous random variable in the interval , then the expected value of is given by

Determine whether the given function is a probability density function on the specified interval.

Find the function f given that the slope of the tangent line to the graph of f at any point and that the graph passes through the point (0, 3).

Determine whether the statement is true or false. If exists, then exists and .

Use the formula to find the integral.

Evaluate the improper integral if it is convergent.

Determine whether the given function is a probability density function on the specified interval.

Find the area of the region under the given curve over the indicated interval.

The velocity of a dragster t seconds after leaving the starting line is ft/sec.What is the distance covered by the dragster in the first 12 seconds of its run? Round the answer to the nearest whole number.

Find the area of the region under the graph of from x = 1 to x = 2.

Determine the value of the constant k so that the function is a probability density function on the interval .

Use the table of integrals to find the integral.

Find a bound on the error in approximating the definite integral Please round your answers to seven decimal places. Using the trapezoidal rule with 6 intervals. Using Simpson's rule with 6 intervals.

Determine the value of the constant k so that the function is a probability density function on the interval .

Preliminaries

Functions, Limits and the Derivative

Differentiation

Applications of the Derivative

Exponential and Logarithmic Functions

Integration

Calculus of Several Variables

Filters