Question 1

Determine the point elasticity η of the demand equation (p + 1)   
= 1000,when p = 24.

Accepted Answer

η = -1.92;

Question 2

An approximation of one root of   - 2x - 3 = 0 is  
= 1)Apply Newton's method twice to find the approximation  
)

Accepted Answer

A)  1.46328 
B)  1.51926 
C)  2.32075 
D)  2.46182 
E)  2.58138 
A)  1.46328 
B)  1.51926 
C)  2.32075 
D)  2.46182 
E)  2.58138

Question 3

Suppose a population is growing according to the equation P =   
.Find the rate of growth of the population,   
.

Accepted Answer

@#IMG-DLM&_TB6578_11

Question 4

The total sales x ( in hundred thousands)for a video cassette t months after the video is released can be approximated by x =   
.Use logarithmic differentiation to find   
.

Accepted Answer

@#IMG-DLM&_TB6578_11

Question 5

If y = (ln   ,then  
=

Accepted Answer

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

Question 6

Find y' if xy =   
+ 1.

Accepted Answer

The answer of Find y' if xy =  ...

Question 7

Find y' if y =

Accepted Answer

y' = 3 @#IMG-DLM&_TB

Question 8

Find   
if

Accepted Answer

@#IMG-DLM&_TB6578_11

Question 9

Suppose that P,the proportion of people affected by a certain disease,is described by ln   
= 0.9t,where t is the time in months.Find   
,at the rate at which P grows with respect to time.

Accepted Answer

@#IMG-DLM&_TB6578_11

Question 10

If y = ln   ,then y' =

Accepted Answer

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

Question 11

Find y' if y =   
.

Accepted Answer

3 @#IMG-DLM&_TB6578_

Question 12

Find y' if ln(xy)+ y = 2.

Accepted Answer

The answer of Find y' if ln(xy)+ y = 2....

Question 13

Find   
where y =   
(   
+ 3x + 1).

Accepted Answer

The answer of Find   
where y = ...

Question 14

The total revenue from the sales of a certain product are given by   
Find the marginal revenue.

Accepted Answer

@#IMG-DLM&_TB6578_11

Question 15

Find an equation of the tangent line to the curve   
+   
+ xy = 16 at the point (0,2).

Accepted Answer

y = - @#IMG-DLM&_TB6

Question 16

The average cost   for producing q units of product is given by  
=  
)At a production level of 900 units,the marginal cost is

Accepted Answer

A)    
B)    
C)  0.87. 
D)  0.87e. 
E)    
A)    
B)    
C)  0.87. 
D)  0.87e. 
E)

Question 17

Find y' if y =

Accepted Answer

y' = @#IMG-DLM&_TB65

Question 18

Find y' if y = (x +   
.

Accepted Answer

5(x + @#IMG-DLM&_TB6

Question 19

Find   
if 3   
+ 7xy +   
= 19

Accepted Answer

The answer of Find   
if 3  ...

Question 20

If C(x),the cost to produce x units of a product,is C(x)= 4   
+ 13x + 8 and the marginal cost function is C'(x),then find the rate of change of the marginal function with respect to x when x = 9.

Accepted Answer

C''(x) @#IMG-DLM&_TB

Determine the point elasticity η of the demand equation (p + 1) = 1000,when p = 24.

An approximation of one root of - 2x - 3 = 0 is = 1)Apply Newton's method twice to find the approximation )

Suppose a population is growing according to the equation P = .Find the rate of growth of the population, .

The total sales x ( in hundred thousands)for a video cassette t months after the video is released can be approximated by x = .Use logarithmic differentiation to find .

If y = (ln ,then =

Find y' if xy = + 1.

Find y' if y =

Find if

Suppose that P,the proportion of people affected by a certain disease,is described by ln = 0.9t,where t is the time in months.Find ,at the rate at which P grows with respect to time.

If y = ln ,then y' =

Find y' if y = .

Find y' if ln(xy)+ y = 2.

Find where y = ( + 3x + 1).

The total revenue from the sales of a certain product are given by Find the marginal revenue.

Find an equation of the tangent line to the curve + + xy = 16 at the point (0,2).

The average cost for producing q units of product is given by = )At a production level of 900 units,the marginal cost is

Find y' if y =

Find y' if y = (x + .

Find if 3 + 7xy + = 19

If C(x),the cost to produce x units of a product,is C(x)= 4 + 13x + 8 and the marginal cost function is C'(x),then find the rate of change of the marginal function with respect to x when x = 9.

Review of Algebra

Applications and More Algebra

Functions and Graphs

Lines parabolas and Systems

Exponential and Logarithmic Functions

Mathematics of Finance

Matrix Algebra

Linear Programming

Introduction to Probability and Statistics

Additional Topics in Probability

Limits and Continuity

Differentiation

Curve Sketching

Integration

Methods and Applications of Integration

Continuous Random Variables

Multivariable Calculus

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Exam 13: Additional Differentiation Topics

Determine the point elasticity η of the demand equation (p + 1) = 1000,when p = 24.

An approximation of one root of - 2x - 3 = 0 is = 1)Apply Newton's method twice to find the approximation )

Suppose a population is growing according to the equation P = .Find the rate of growth of the population, .

The total sales x ( in hundred thousands)for a video cassette t months after the video is released can be approximated by x = .Use logarithmic differentiation to find .

If y = (ln ,then =

Find y' if xy = + 1.

Find y' if y =

Find if

Suppose that P,the proportion of people affected by a certain disease,is described by ln = 0.9t,where t is the time in months.Find ,at the rate at which P grows with respect to time.

If y = ln ,then y' =

Find y' if y = .

Find y' if ln(xy)+ y = 2.

Find where y = ( + 3x + 1).

The total revenue from the sales of a certain product are given by Find the marginal revenue.

Find an equation of the tangent line to the curve + + xy = 16 at the point (0,2).

The average cost for producing q units of product is given by = )At a production level of 900 units,the marginal cost is

Find y' if y =

Find y' if y = (x + .

Find if 3 + 7xy + = 19

If C(x),the cost to produce x units of a product,is C(x)= 4 + 13x + 8 and the marginal cost function is C'(x),then find the rate of change of the marginal function with respect to x when x = 9.

Review of Algebra

Applications and More Algebra

Functions and Graphs

Lines parabolas and Systems

Exponential and Logarithmic Functions

Mathematics of Finance

Matrix Algebra

Linear Programming

Introduction to Probability and Statistics

Additional Topics in Probability

Limits and Continuity

Differentiation

Curve Sketching

Integration

Methods and Applications of Integration

Continuous Random Variables

Multivariable Calculus

Filters