Question 1

Find the derivative of the following function.

Accepted Answer

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

Question 2

If $21,000 is invested in a savings account yielding 5.5% per year, compounded semiannually, how fast is the balance growing after 3 years?

Accepted Answer

A) $1,676.02 per year 
B) $1,877.14 per year 
C) $938.57 per year 
D) $1,340.81 per year 
E) $2,413.47 per year 
A) $1,676.02 per year 
B) $1,877.14 per year 
C) $938.57 per year 
D) $1,340.81 per year 
E) $2,413.47 per year

Question 3

If $22,000 is invested in a savings account yielding 4% per year, compounded semiannually, how fast is the balance growing after 4 years? Please enter your answer as a number (in $ per year)without the units. Round your answer to two decimal places.

Accepted Answer

The answer of If $22,000 is invested in a savings...

Question 4

Find   using implicit differentiation.

Accepted Answer

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

Question 5

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 6

The estimated marginal revenue for sales of ESU soccer team T-shirts is given by   where p is the price (in dollars)the soccer player charge for each shirt. Find R (1), R (5), R (8). Select the correct answer rounded to four decimal places.

Accepted Answer

A) R '(5)= 0.0049, R '(8)= 0, R '(1)= -3.9987 
B) R '(1)= 3.9987, R '(5)= -0.0049, R '(8)= 0 
C) R '(1)= -3.9987, R '(5)= 0, R '(8)= -0.0049 
D) R '(1)= 0.0049, R '(5)= 0, R '(8)= -3.9987 
E) R '(5)= 0.0049, R '(1)= 0, R '(8)= -3.9987 
A) R '(5)= 0.0049, R '(8)= 0, R '(1)= -3.9987 
B) R '(1)= 3.9987, R '(5)= -0.0049, R '(8)= 0 
C) R '(1)= -3.9987, R '(5)= 0, R '(8)= -0.0049 
D) R '(1)= 0.0049, R '(5)= 0, R '(8)= -3.9987 
E) R '(5)= 0.0049, R '(1)= 0, R '(8)= -3.9987

Find the derivative of the following function.

If $21,000 is invested in a savings account yielding 5.5% per year, compounded semiannually, how fast is the balance growing after 3 years?

If $22,000 is invested in a savings account yielding 4% per year, compounded semiannually, how fast is the balance growing after 4 years? Please enter your answer as a number (in $ per year)without the units. Round your answer to two decimal places.

Find using implicit differentiation.

Find the derivative of the function.

The estimated marginal revenue for sales of ESU soccer team T-shirts is given by where p is the price (in dollars)the soccer player charge for each shirt. Find R (1), R (5), R (8). Select the correct answer rounded to four decimal places.

Functions and Linear Models

Nonlinear Functions and Models

Introduction to the Derivative

Further Applications of the Derivative

The Integral

Further Integration Techniques and Applications of the Integral

Functions of Several Variables

Trigonometric Models

Filters

Exam 4: Techniques of Differentiation With Applications

Find the derivative of the following function.

If $21,000 is invested in a savings account yielding 5.5% per year, compounded semiannually, how fast is the balance growing after 3 years?

If $22,000 is invested in a savings account yielding 4% per year, compounded semiannually, how fast is the balance growing after 4 years? Please enter your answer as a number (in $ per year)without the units. Round your answer to two decimal places.

Find using implicit differentiation.

Find the derivative of the function.

The estimated marginal revenue for sales of ESU soccer team T-shirts is given by where p is the price (in dollars)the soccer player charge for each shirt. Find R (1), R (5), R (8). Select the correct answer rounded to four decimal places.

Functions and Linear Models

Nonlinear Functions and Models

Introduction to the Derivative

Further Applications of the Derivative

The Integral

Further Integration Techniques and Applications of the Integral

Functions of Several Variables

Trigonometric Models

Filters