Question 1

A curve passes through the point   and has the property that the slope of the curve at every   point is twice the   -coordinate of   . What is the equation of the curve?

Accepted Answer

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

Question 2

Find the derivative of the function.

Accepted Answer

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

Question 3

Find the integral.

Accepted Answer

The answer of Find the integral.  ...

Question 4

Find the limit.

Accepted Answer

A)    
B)    
C)    2 
D)    
E) 0 
A)    
B)    
C)    2 
D)    
E) 0

Question 5

Evaluate the integral.

Accepted Answer

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

Question 6

Use the properties of logarithms to expand the quantity.

Accepted Answer

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

Question 7

Use logarithmic differentiation to find the derivative of the function.

Accepted Answer

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

Question 8

Differentiate the function.

Accepted Answer

The answer of Differentiate the function.  ...

Question 9

Evaluate the integral.

Accepted Answer

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

Question 10

Find the given integral.

Accepted Answer

The answer of Find the given integral.  ...

Question 11

Find the limit.

Accepted Answer

The answer of Find the limit.  ...

Question 12

Find the limit.

Accepted Answer

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

Question 13

Suppose that g is the inverse of a function F. If f (3) = 4 and f '(3) = 5, find g'0(4).

Accepted Answer

A) 4 
B) 3 
C)    
D)    
A) 4 
B) 3 
C)    
D)

Question 14

Solve each equation for x.

Accepted Answer

The answer of Solve each equation for x.  ...

Question 15

Simplify the expression. e 3 ln 2

Accepted Answer

A) 9 
B) 5 
C) 6 
D) 8 
A) 9 
B) 5 
C) 6 
D) 8

Question 16

Find the solution of the equation correct to four decimal places.

Accepted Answer

The answer of Find the solution of the equation correct...

Question 17

Find the given integral.

Accepted Answer

The answer of Find the given integral.  ...

Question 18

Find the work done by the force   (measured in pounds) in moving an object along the x-axis from   to   . (x is measured in feet.)

Accepted Answer

The answer of Find the work done by the force...

Question 19

Write the expression in algebraic form.
sec(sin-1 8x)

Accepted Answer

Question 20

Find the absolute extrema of the function on the indicated interval.
f (x) = xe-3x; [-1, 2]

Accepted Answer

A curve passes through the point and has the property that the slope of the curve at every point is twice the -coordinate of . What is the equation of the curve?

Find the derivative of the function.

Find the integral.

Find the limit.

Evaluate the integral.

Use the properties of logarithms to expand the quantity.

Use logarithmic differentiation to find the derivative of the function.

Differentiate the function.

Evaluate the integral.

Find the given integral.

Find the limit.

Find the limit.

Suppose that g is the inverse of a function F. If f (3) = 4 and f '(3) = 5, find g'0(4).

Solve each equation for x.

Simplify the expression. e ^{3 ln 2}

Find the solution of the equation correct to four decimal places.

Find the given integral.

Find the work done by the force (measured in pounds) in moving an object along the x-axis from to . (x is measured in feet.)

Write the expression in algebraic form. sec(sin^-¹ 8x)

Find the absolute extrema of the function on the indicated interval. f (x) = xe^-³^x; [-1, 2]

Functions and Limits

Derivatives

Applications of Differentiation

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

Final Exam

Filters

Exam 6: Inverse Functions

A curve passes through the point and has the property that the slope of the curve at every point is twice the -coordinate of . What is the equation of the curve?

Find the derivative of the function.

Find the integral.

Find the limit.

Evaluate the integral.

Use the properties of logarithms to expand the quantity.

Use logarithmic differentiation to find the derivative of the function.

Differentiate the function.

Evaluate the integral.

Find the given integral.

Find the limit.

Find the limit.

Suppose that g is the inverse of a function F. If f (3) = 4 and f '(3) = 5, find g'0(4).

Solve each equation for x.

Simplify the expression. e 3 ln 2

Find the solution of the equation correct to four decimal places.

Find the given integral.

Find the work done by the force (measured in pounds) in moving an object along the x-axis from to . (x is measured in feet.)

Write the expression in algebraic form. sec(sin-1 8x)

Find the absolute extrema of the function on the indicated interval. f (x) = xe-3x; [-1, 2]

Functions and Limits

Derivatives

Applications of Differentiation

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

Final Exam

Filters

Simplify the expression. e ^{3 ln 2}

Write the expression in algebraic form. sec(sin^-¹ 8x)

Find the absolute extrema of the function on the indicated interval. f (x) = xe^-³^x; [-1, 2]