Question 1

Answer true or false.  .

Accepted Answer

A) True 
 B)False

Question 2

If y = (cot t)²^t, find .

Accepted Answer

The answer of If y = (cot t)²^t, find ...

Question 3

Answer true or false. Water is running out of an inverted conical tank so the height is changing at a rate of 4 ft/s. The height of the water in the tank is changing at 4 ft/s if the height is currently 10 ft and the radius is 8 ft.

Accepted Answer

A) True 
 B)False

Question 4

A conical funnel is 6 inches in diameter and 12 inches deep. A liquid is flowing out at the rate of 35 cubic inches per second. How fast is the depth of the liquid falling when the level is 8 inches deep?

Accepted Answer

The answer of A conical funnel is 6 inches in...

Question 5

Answer true or false. If y = xcos x,

Accepted Answer

A) True 
 B)False

Question 6

If y = ln 6x find  .

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 7

Evaluate.

Accepted Answer

The answer of Evaluate. ...

Question 8

Find  if  .

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 9

Evaluate.  .

Accepted Answer

The answer of Evaluate.  ....

Question 10

Find dy/dx if y7 = x6.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 11

Answer true or false.

Accepted Answer

A) True 
 B)False

Question 12

Evaluate.  .

Accepted Answer

The answer of Evaluate.  ....

Question 13

If  , find the formula for $\Delta$y.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 14

Evaluate.  .

Accepted Answer

The answer of Evaluate.  ....

Question 15

Find f'(x) if f(x) = xln cos 3x + x⁴.

Accepted Answer

The answer of Find f'(x) if f(x) = xln cos...

Question 16

Find dy/dx by differentiating implicitly. x⁷-y⁶ = 2x

Accepted Answer

The answer of Find dy/dx by differentiating implicitly. x⁷-y⁶ =...

Question 17

Evaluate.

Accepted Answer

The answer of Evaluate. ...

Question 18

A ladder 13 feet long is leaning against a wall. If the base of the ladder is moving away from the wall at the rate of 1/4 foot per second, at what rate will the top of the ladder be moving when the base of the ladder is 5 feet from the wall?

Accepted Answer

The answer of A ladder 13 feet long is leaning...

Question 19

Find dy/dx by differentiating implicitly. x cos y = x⁵

Accepted Answer

The answer of Find dy/dx by differentiating implicitly. x cos...

Question 20

Sand is falling into a conical pile so that the radius of the base of the pile is always equal to one half its altitude. If the sand is falling at the rate of 5 cubic feet per minute, how fast is the altitude of the pile increasing when the pile is 3 feet deep?

Accepted Answer

The answer of Sand is falling into a conical pile...

Exam 3: Topics in Deifferentiation

Answer true or false. .

If y = (cot t)²^t, find .

Answer true or false. Water is running out of an inverted conical tank so the height is changing at a rate of 4 ft/s. The height of the water in the tank is changing at 4 ft/s if the height is currently 10 ft and the radius is 8 ft.

A conical funnel is 6 inches in diameter and 12 inches deep. A liquid is flowing out at the rate of 35 cubic inches per second. How fast is the depth of the liquid falling when the level is 8 inches deep?

Answer true or false. If y = x^cos ^x,

If y = ln 6x find .

Evaluate.

Find if .

Evaluate. .

Find dy/dx if y⁷ = x⁶.

Answer true or false.

Evaluate. .

If $If , find the formula for \Delta y. A) B) C) D) E)$ , find the formula for $\Delta$ y.

Evaluate. .

Find f'(x) if f(x) = xln cos 3x + x⁴.

Find dy/dx by differentiating implicitly. x⁷-y⁶ = 2x

Evaluate.

A ladder 13 feet long is leaning against a wall. If the base of the ladder is moving away from the wall at the rate of 1/4 foot per second, at what rate will the top of the ladder be moving when the base of the ladder is 5 feet from the wall?

Find dy/dx by differentiating implicitly. x cos y = x⁵

Sand is falling into a conical pile so that the radius of the base of the pile is always equal to one half its altitude. If the sand is falling at the rate of 5 cubic feet per minute, how fast is the altitude of the pile increasing when the pile is 3 feet deep?

Exam 3: Topics in Deifferentiation

Answer true or false. .

If y = (cot t)2t, find .

Answer true or false. Water is running out of an inverted conical tank so the height is changing at a rate of 4 ft/s. The height of the water in the tank is changing at 4 ft/s if the height is currently 10 ft and the radius is 8 ft.

A conical funnel is 6 inches in diameter and 12 inches deep. A liquid is flowing out at the rate of 35 cubic inches per second. How fast is the depth of the liquid falling when the level is 8 inches deep?

Answer true or false. If y = xcos x,

If y = ln 6x find .

Evaluate.

Find if .

Evaluate. .

Find dy/dx if y7 = x6.

Answer true or false.

Evaluate. .

If , find the formula for Δ\DeltaΔ y.

Evaluate. .

Find f'(x) if f(x) = xln cos 3x + x4.

Find dy/dx by differentiating implicitly. x7-y6 = 2x

Evaluate.

A ladder 13 feet long is leaning against a wall. If the base of the ladder is moving away from the wall at the rate of 1/4 foot per second, at what rate will the top of the ladder be moving when the base of the ladder is 5 feet from the wall?

Find dy/dx by differentiating implicitly. x cos y = x5

Sand is falling into a conical pile so that the radius of the base of the pile is always equal to one half its altitude. If the sand is falling at the rate of 5 cubic feet per minute, how fast is the altitude of the pile increasing when the pile is 3 feet deep?

If y = (cot t)²^t, find .

Answer true or false. If y = x^cos ^x,

Find dy/dx if y⁷ = x⁶.

If $If , find the formula for \Delta y. A) B) C) D) E)$ , find the formula for $\Delta$ y.

Find f'(x) if f(x) = xln cos 3x + x⁴.

Find dy/dx by differentiating implicitly. x⁷-y⁶ = 2x

Find dy/dx by differentiating implicitly. x cos y = x⁵