Question 1

Approximate cos(cos -10.35).

Accepted Answer

A)  0.3920 
B)  3.5000 
C)  0.3500 
D)  0.3080 
E)  0.3622 
A)  0.3920 
B)  3.5000 
C)  0.3500 
D)  0.3080 
E)  0.3622

Question 2

Find   if   .

Accepted Answer

The answer of Find   if   ....

Question 3

Find dy/dx if xy = 90.

Accepted Answer

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

Question 4

y = sin x cos x. Find the formula for dy.

Accepted Answer

A)  dy = -sin x cos x dx 
B)  dy = (-sin 2x + cos 2x) dx 
C)  dy = -sin 2(x + dx) + cos 2(x + dx) 
D)  dy = (-sin 2(x + dx) + cos 2(x + dx)) - (-sin 2 x + cos 2x) 
E)  dy = sin (x +dx) cos (x +dx) - sin x cos x 
A)  dy = -sin x cos x dx 
B)  dy = (-sin 2x + cos 2x) dx 
C)  dy = -sin 2(x + dx) + cos 2(x + dx) 
D)  dy = (-sin 2(x + dx) + cos 2(x + dx)) - (-sin 2 x + cos 2x) 
E)  dy = sin (x +dx) cos (x +dx) - sin x cos x

Question 5

Consider a rectangle where the sides are changing but the area is always 175 square inches. If one side changes at the rate of 2 inches per second, when it is 35 inches long, how fast is the other side changing?

Accepted Answer

@#IMG-DLM& inch / sec.
So the

Question 6

Answer true or false. If sin$\theta$ = 8xy, then   .

Accepted Answer

A) True 
 B)False

Question 7

A point P is moving along a curve whose equation is   . When P = (9, 41) , y is increasing at a rate of 2 units/s. How fast is x changing?

Accepted Answer

A)  0.439 units/s 
B)  738 units/s 
C)  8.111 units/s 
D)  9.111 units/s 
E)  10.111 units/s 
A)  0.439 units/s 
B)  738 units/s 
C)  8.111 units/s 
D)  9.111 units/s 
E)  10.111 units/s

Question 8

Answer true or false. If y = x5e6x ,

Accepted Answer

A) True 
 B)False

Question 9

Suppose z = x2 + y5. Then dz/dt =

Accepted Answer

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

Question 10

Find   if   .

Accepted Answer

The answer of Find   if   ....

Question 11

Answer true or false. If y = ln(x8),   .

Accepted Answer

A) True 
 B)False

Question 12

Find the exact value for one of the solutions of   .

Accepted Answer

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

Question 13

Find dy/dx by differentiating implicitly. tan (xy) = x

Accepted Answer

The answer of Find dy/dx by differentiating implicitly. tan (xy)...

Question 14

Find dy/dx if y5 = 6x.

Accepted Answer

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

Question 15

Find dy/dx by differentiating implicitly. 8xy = x5

Accepted Answer

Question 16

A kite is flying horizontally at a constant height of 130 feet above the girl flying the kite. At a certain instant, the angle which the string makes with the girl is 30° and decreasing. If the string is paying out at 10 feet per second, how fast is the angle decreasing? Express your answer in degrees per second. (Round your answer to four decimal places.)

Accepted Answer

Let @#LAT-DLM& and r be as shown in the

Question 17

Find f'(x) if   .

Accepted Answer

The answer of Find f'(x) if   ....

Question 18

x7 - cos -1y = lnx. Find   .

Accepted Answer

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

Question 19

A spherical balloon is inflated so that its volume is increasing at the rate of 4 cubic feet per minute. How fast is the radius of the balloon increasing at the instant the radius is 0.7 foot?

Accepted Answer

@#IMG-DLM& cubic fee

Question 20

Find dy/dx if 3x2y2 = 58.

Accepted Answer

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

Approximate cos(cos ^-10.35).

Find if .

Find dy/dx if xy = 90.

y = sin x cos x. Find the formula for dy.

Consider a rectangle where the sides are changing but the area is always 175 square inches. If one side changes at the rate of 2 inches per second, when it is 35 inches long, how fast is the other side changing?

Answer true or false. If sin $\theta$ = 8xy, then $Answer true or false. If sin \theta = 8xy, then .$ .

A point P is moving along a curve whose equation is . When P = (9, 41) , y is increasing at a rate of 2 units/s. How fast is x changing?

Answer true or false. If y = x⁵e⁶^x ,

Suppose z = x² + y⁵. Then dz/dt =

Find if .

Answer true or false. If y = ln(x⁸), .

Find the exact value for one of the solutions of .

Find dy/dx by differentiating implicitly. tan (xy) = x

Find dy/dx if y⁵ = 6x.

Find dy/dx by differentiating implicitly. 8xy = x⁵

Find f'(x) if .

x⁷ - cos ^-¹y = lnx. Find .

A spherical balloon is inflated so that its volume is increasing at the rate of 4 cubic feet per minute. How fast is the radius of the balloon increasing at the instant the radius is 0.7 foot?

Find dy/dx if 3x²y² = 58.

Limits and Continuity

The Derivative

The Derivative in Graphing and Applications

Integration

Applications of the Definite Integral in Geometry, Science and Engineering

Principle of Integral Evaluation

Mathematical Modeling With Differential Equations

Infinte Series

Parametric and Polar Curves; Conic Sections

Three-Dimensional Space; Vectors

Vector-Valued Functions

Partial Derivatives

Multiple Integrals

Topics in Vector Calculus

Filters

Exam 3: Topics in Deifferentiation

Approximate cos(cos -10.35).

Find if .

Find dy/dx if xy = 90.

y = sin x cos x. Find the formula for dy.

Consider a rectangle where the sides are changing but the area is always 175 square inches. If one side changes at the rate of 2 inches per second, when it is 35 inches long, how fast is the other side changing?

Answer true or false. If sin θ\thetaθ = 8xy, then .

A point P is moving along a curve whose equation is . When P = (9, 41) , y is increasing at a rate of 2 units/s. How fast is x changing?

Answer true or false. If y = x5e6x ,

Suppose z = x2 + y5. Then dz/dt =

Find if .

Answer true or false. If y = ln(x8), .

Find the exact value for one of the solutions of .

Find dy/dx by differentiating implicitly. tan (xy) = x

Find dy/dx if y5 = 6x.

Find dy/dx by differentiating implicitly. 8xy = x5

Find f'(x) if .

x7 - cos -1y = lnx. Find .

A spherical balloon is inflated so that its volume is increasing at the rate of 4 cubic feet per minute. How fast is the radius of the balloon increasing at the instant the radius is 0.7 foot?

Find dy/dx if 3x2y2 = 58.

Limits and Continuity

The Derivative

The Derivative in Graphing and Applications

Integration

Applications of the Definite Integral in Geometry, Science and Engineering

Principle of Integral Evaluation

Mathematical Modeling With Differential Equations

Infinte Series

Parametric and Polar Curves; Conic Sections

Three-Dimensional Space; Vectors

Vector-Valued Functions

Partial Derivatives

Multiple Integrals

Topics in Vector Calculus

Filters

Approximate cos(cos ^-10.35).

Answer true or false. If sin $\theta$ = 8xy, then $Answer true or false. If sin \theta = 8xy, then .$ .

Answer true or false. If y = x⁵e⁶^x ,

Suppose z = x² + y⁵. Then dz/dt =

Answer true or false. If y = ln(x⁸), .

Find dy/dx if y⁵ = 6x.

Find dy/dx by differentiating implicitly. 8xy = x⁵

x⁷ - cos ^-¹y = lnx. Find .

Find dy/dx if 3x²y² = 58.