Question 1

Evaluate the expression. log125 25

Accepted Answer

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

Question 2

Find an equation of the tangent line to the curve   at the point   .

Accepted Answer

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

Question 3

Differentiate the function.

Accepted Answer

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

Question 4

Use logarithmic differentiation to find the derivative of the function.

Accepted Answer

The answer of Use logarithmic differentiation to find the derivative...

Question 5

Evaluate the integral to three decimal places.

Accepted Answer

A) 0.533 
B) 0.094 
C) 0.194 
D) 0.183 
E)    
A) 0.533 
B) 0.094 
C) 0.194 
D) 0.183 
E)

Question 6

Use logarithmic differentiation to find the derivative of the function.
y = (x + 1)2 (8x2 - 5)3

Accepted Answer

Question 7

Find the derivative of the function. f(x) = sinh 4x

Accepted Answer

A) -sinh 4x 
B) -4 cosh 4x 
C) 4 cosh 4x 
D) 4 sinh 4x 
A) -sinh 4x 
B) -4 cosh 4x 
C) 4 cosh 4x 
D) 4 sinh 4x

Question 8

Find the limit.

Accepted Answer

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

Question 9

Find the points of intersection of the graphs of the functions. Express your answers accurate to five decimal places. f (x) = 0.5x3 - 1.7x2 + 2.3x - 2; g (x) = 2.8x - 4.8

Accepted Answer

A) (-1.21519, -8.20253), (3.15415, 4.03163) 
B) (-1.21519, -8.20253), (1.46104, -0.7091)
(3)15415, 4.03163) 
C) (-1.21519, -3.40253) (1.46104, 8.83163)
(3)15415, 4.0909) 
D) (-1.21519, -3.40253) (3.15415, 4.0909) 
A) (-1.21519, -8.20253), (3.15415, 4.03163) 
B) (-1.21519, -8.20253), (1.46104, -0.7091)
(3)15415, 4.03163) 
C) (-1.21519, -3.40253) (1.46104, 8.83163)
(3)15415, 4.0909) 
D) (-1.21519, -3.40253) (3.15415, 4.0909)

Question 10

Find the inverse of f.Then use a graphing utility to plot the graphs of f and f -1 using the same viewing window.f (x) =   , -   $\le$ x $\le$

Accepted Answer

The answer of Find the inverse of f.Then use a...

Question 11

Find the exact value of the given expression. sin

Accepted Answer

A)    
B)    
C) 0 
D) 1 
A)    
B)    
C) 0 
D) 1

Question 12

Differentiate the function.

Accepted Answer

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

Question 13

Differentiate the function.

Accepted Answer

The answer of Differentiate the function.  ...

Question 14

Differentiate the function. y = e cos 3x

Accepted Answer

A) -e cos 3x sin 3x 
B) -3e cos 3x sin 3x 
C) -3e cos 3x sin x 
D) e cos 3x sin 3x 
A) -e cos 3x sin 3x 
B) -3e cos 3x sin 3x 
C) -3e cos 3x sin x 
D) e cos 3x sin 3x

Question 15

Differentiate the function.

Accepted Answer

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

Question 16

If   , find   .

Accepted Answer

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

Question 17

Find   .

Accepted Answer

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

Question 18

Use the definitions of the hyperbolic functions to find the following limit.

Accepted Answer

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

Question 19

Evaluate the integral.

Accepted Answer

The answer of Evaluate the integral.  ...

Question 20

Evaluate the integral.

Accepted Answer

The answer of Evaluate the integral.  ...

Evaluate the expression. log₁₂₅ 25

Find an equation of the tangent line to the curve at the point .

Differentiate the function.

Use logarithmic differentiation to find the derivative of the function.

Evaluate the integral to three decimal places.

Use logarithmic differentiation to find the derivative of the function. y = (x + 1)²(8x²- 5)³

Find the derivative of the function. f(x) = sinh 4x

Find the limit.

Find the points of intersection of the graphs of the functions. Express your answers accurate to five decimal places. f (x) = 0.5x³ - 1.7x² + 2.3x - 2; g (x) = 2.8x - 4.8

Find the exact value of the given expression. sin

Differentiate the function.

Differentiate the function.

Differentiate the function. y = e ^{cos 3}^x

Differentiate the function.

If , find .

Find .

Use the definitions of the hyperbolic functions to find the following limit.

Evaluate the integral.

Evaluate the integral.

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

Evaluate the expression. log125 25

Find an equation of the tangent line to the curve at the point .

Differentiate the function.

Use logarithmic differentiation to find the derivative of the function.

Evaluate the integral to three decimal places.

Use logarithmic differentiation to find the derivative of the function. y = (x + 1)2 (8x2 - 5)3

Find the derivative of the function. f(x) = sinh 4x

Find the limit.

Find the points of intersection of the graphs of the functions. Express your answers accurate to five decimal places. f (x) = 0.5x3 - 1.7x2 + 2.3x - 2; g (x) = 2.8x - 4.8

Find the inverse of f.Then use a graphing utility to plot the graphs of f and f -1 using the same viewing window.f (x) = , - ≤\le≤ x ≤\le≤

Find the exact value of the given expression. sin

Differentiate the function.

Differentiate the function.

Differentiate the function. y = e cos 3x

Differentiate the function.

If , find .

Find .

Use the definitions of the hyperbolic functions to find the following limit.

Evaluate the integral.

Evaluate the integral.

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

Evaluate the expression. log₁₂₅ 25

Use logarithmic differentiation to find the derivative of the function. y = (x + 1)²(8x²- 5)³

Find the points of intersection of the graphs of the functions. Express your answers accurate to five decimal places. f (x) = 0.5x³ - 1.7x² + 2.3x - 2; g (x) = 2.8x - 4.8

Differentiate the function. y = e ^{cos 3}^x