Question 1

​Find the derivative of the function. ​  ​
A) ​ 
B) ​ 
C) ​ 
D) ​ 
E) ​

Accepted Answer

The answer of ​Find the derivative of the function. ​...

Question 2

​Find the value  for the function  ​
A) ​1,776
B) ​800
C) ​311
D) ​807
E) ​4,576

Accepted Answer

The answer of ​Find the value  for the function...

Question 3

​Find the second derivative for the function  and solve the equation  ​
A) ​-2
B) ​1
C) ​0
D) ​26
E) ​33

Accepted Answer

The answer of ​Find the second derivative for the function...

Question 4

​Find  for the equation  ​
A) ​ 
B) ​ 
C) ​ 
D) ​ 
E) ​

Accepted Answer

The given equation differs from the desired output only in the fourth set of characters (c14d vs c14e). Therefore, we need to change the fourth set of characters in the given equation from c14d to c14e. The only choice that matches this change is C.

Question 5

​Determine whether the statement is true or false.If it is false,explain why or give an example that shows it is false. ​
If  ,then  ​

Accepted Answer

The product rule is 11ea8970_6999_7b63_861b_2344a73970e0_TB1301_11

Question 6

​Find the second derivative of the function. ​  ​
A) ​ 
B) ​ 
C) ​ 
D) ​ 
E) ​None of the above

Accepted Answer

The answer of ​Find the second derivative of the function....

Question 7

​Find the third derivative of the function  ​
A) ​ 
B) ​ 
C) ​ 
D) ​ 
E) ​

Accepted Answer

The answer of ​Find the third derivative of the function...

Question 8

​Find the  of  ​
A) ​ 
B) ​ 
C) ​ 
D) ​ 
E) ​

Accepted Answer

The answer of ​Find the  of  ​
A) ​...

Question 9

​Find the derivative of the function. ​
​  ​
A) ​ 
B) ​ 
C) ​ 
D) ​ 
E) ​

Accepted Answer

The answer of ​Find the derivative of the function. ​
​...

Question 10

​Find the slope of the graph at the given point. ​  ​  ​
A) ​2
B) ​0
C) ​1
D) ​3
E) ​5

Accepted Answer

The answer of ​Find the slope of the graph at...

Question 11

​Find the slope of the graph at the given point. ​  ​  ​
A) ​0
B) ​3
C) ​5
D) ​4
E) ​7

Accepted Answer

The answer of ​Find the slope of the graph at...

Question 12

​The value V of a machine t years after it is purchased is inversely proportional to the square root of  The initial value of the machine is $10,000.Find the rate of depreciation when  Round your answer to two decimal places. ​
A) -381.80 per year
B) ​-1,889.82 per year
C) ​447.21 per year
D) ​1,767.77 per year
E) -763.60​ per year

Accepted Answer

The answer of ​The value V of a machine t...

Question 13

Find the derivative of the given function. ​  ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the derivative of the given function....

Question 14

​Find the derivative of the function. ​
​  ​
A) ​ 
B) ​ 
C) ​ 
D) ​ 
E) ​

Accepted Answer

The answer of ​Find the derivative of the function. ​
​...

Question 15

You deposit $1,000 in an account with an annual interest rate of change r (in decimal form)compounded monthly.At the end of 4 years,the balance is  Find the rate of change of A with respect to r when  Round your answer to two decimal places. ​
A) $1,375.67
B) $65,594.67
C) $114.64
D) $5,466.22
E) $5,430.02

Accepted Answer

The answer of You deposit $1,000 in an account with...

Question 16

​Find the second derivative for the function  and solve the equation  ​
A) ​0
B) ​4
C) ​-4
D) ​ 
E) ​no solution

Accepted Answer

The answer of ​Find the second derivative for the function...

Question 17

​Find the indicated derivative. ​
Find  if  ​
A) ​ 
B) ​ 
C) ​ 
D) ​ 
E) ​

Accepted Answer

The answer of ​Find the indicated derivative. ​
Find  if...

Question 18

​A brick becomes dislodged from the Empire State Building (at a height of 1,000 feet)and falls to the sidewalk below.Write the position s(t),velocity v(t),and acceleration a(t)as functions of time. ​
A) ​  ;  ; 
B) ​  ;  ; 
C) ​  ;  ; 
D) ​  ;  ; 
E) ​  ;  ;

Accepted Answer

- Position function: s(t) = -16t^2 + 1000
- Velocity function: v(t) = -32t
- Acceleration function: a(t) = -32

Question 19

​Find  implicitly for  ​
A) ​ 
B) ​ 
C) ​ 
D) ​ 
E) ​

Accepted Answer

To find the new value, we need to compare the digits in the same position of both the old and new values. In this case, the only difference is in the third group of digits. The third group of digits in the old value is "fdf7", and in the new value, it is "4c1a". Therefore, we can conclude that the third group of digits is obtained by subtracting one from the value of the corresponding digit in the old value. Hence, the correct answer is C.

Question 20

Find the third derivative. ​  ​
A) 
B) 
C) 0
D) 
E)

Accepted Answer

The answer of Find the third derivative. ​  ​
A)...

Quiz 1: Functions, graphs, and Limits

Find the derivative of the function.

Find the value for the function

Find the second derivative for the function and solve the equation

Find for the equation

Determine whether the statement is true or false.If it is false,explain why or give an example that shows it is false. If ,then

Find the second derivative of the function.

Find the third derivative of the function

Find the of

Find the derivative of the function.

Find the slope of the graph at the given point.

Find the slope of the graph at the given point.

The value V of a machine t years after it is purchased is inversely proportional to the square root of The initial value of the machine is $10,000.Find the rate of depreciation when Round your answer to two decimal places.

Find the derivative of the given function.

Find the derivative of the function.

You deposit $1,000 in an account with an annual interest rate of change r (in decimal form) compounded monthly.At the end of 4 years,the balance is Find the rate of change of A with respect to r when Round your answer to two decimal places.

Find the second derivative for the function and solve the equation

Find the indicated derivative. Find if

A brick becomes dislodged from the Empire State Building (at a height of 1,000 feet) and falls to the sidewalk below.Write the position s(t) ,velocity v(t) ,and acceleration a(t) as functions of time.

Find implicitly for

Find the third derivative.

Quiz 1: Functions, graphs, and Limits

​Find the derivative of the function. ​ ​

​Find the value for the function ​

​Find the second derivative for the function and solve the equation ​

​Find for the equation ​

​Determine whether the statement is true or false.If it is false,explain why or give an example that shows it is false. ​ If ,then ​

​Find the second derivative of the function. ​ ​

​Find the third derivative of the function ​

​Find the of ​

​Find the derivative of the function. ​ ​ ​

​Find the slope of the graph at the given point. ​ ​ ​

​Find the slope of the graph at the given point. ​ ​ ​

​The value V of a machine t years after it is purchased is inversely proportional to the square root of The initial value of the machine is $10,000.Find the rate of depreciation when Round your answer to two decimal places. ​

Find the derivative of the given function. ​ ​

​Find the derivative of the function. ​ ​ ​

You deposit $1,000 in an account with an annual interest rate of change r (in decimal form) compounded monthly.At the end of 4 years,the balance is Find the rate of change of A with respect to r when Round your answer to two decimal places. ​

​Find the second derivative for the function and solve the equation ​

​Find the indicated derivative. ​ Find if ​

​A brick becomes dislodged from the Empire State Building (at a height of 1,000 feet) and falls to the sidewalk below.Write the position s(t) ,velocity v(t) ,and acceleration a(t) as functions of time. ​

​Find implicitly for ​

Find the third derivative. ​ ​

Find the derivative of the function.

Find the value for the function

Find the second derivative for the function and solve the equation

Find for the equation

Determine whether the statement is true or false.If it is false,explain why or give an example that shows it is false. If ,then

Find the second derivative of the function.

Find the third derivative of the function

Find the of

Find the derivative of the function.

Find the slope of the graph at the given point.

Find the slope of the graph at the given point.

The value V of a machine t years after it is purchased is inversely proportional to the square root of The initial value of the machine is $10,000.Find the rate of depreciation when Round your answer to two decimal places.

Find the derivative of the given function.

Find the derivative of the function.

You deposit $1,000 in an account with an annual interest rate of change r (in decimal form) compounded monthly.At the end of 4 years,the balance is Find the rate of change of A with respect to r when Round your answer to two decimal places.

Find the second derivative for the function and solve the equation

Find the indicated derivative. Find if

A brick becomes dislodged from the Empire State Building (at a height of 1,000 feet) and falls to the sidewalk below.Write the position s(t) ,velocity v(t) ,and acceleration a(t) as functions of time.

Find implicitly for

Find the third derivative.