y = sin -1(4x). Find .

A) B) C) D) E) 4 cos x A) B) C) D) E) 4 cos x

Exam 3: Topics in Deifferentiation

The number of board feet of lumber in a log that is 10 feet long is given by the formula , where D is the diameter of the tree in inches. In a tree that will produce a 10 foot log and has a current diameter of 22 inches, the diameter is changing at a rate of 3.45 inches per year. How fast is the volume increasing?

(Multiple Choice)

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Question 61

Answer true or false. .

(True/False)

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Question 62

Let y = x³ - 3. Find dy if dx = 1 and the initial value of x is x = 3.

(Short Answer)

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Question 63

Use a differential to approximate .

(Essay)

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Question 64

Evaluate.

(Essay)

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Question 65

Let $Let . Find \Delta y if \Delta x = 1 and the initial value of x is x = 1.$ . Find $\Delta$ y if $\Delta$ x = 1 and the initial value of x is x = 1.

(Short Answer)

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Question 66

If sec(xy) = 18, find dy/dx.

(Multiple Choice)

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Question 67

The number of board feet of lumber in a log that is 12 feet long is given by the formula , where D is the diameter of the tree in inches and V is the volume of the tree in ft³. In a tree that will produce a 12 foot log and has a current diameter of 13 inches, the diameter is changing at a rate of 2.1 inches per year. How fast is the volume increasing?

(Short Answer)

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Question 68

Answer true or false. If z = 2x³y², then .

(True/False)

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Question 69

The sides of an equilateral triangle are increasing at the rate of 8 centimeters per hour. At what rate is the area increasing when the side is 20 centimeters? (Round your answer to three decimal places.)

(Essay)

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Question 70

Answer true or false. The formula for dy is D y = f(x)dx.

(True/False)

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Question 71

Answer true or false. If A = 3 $\pi$ r³, then $Answer true or false. If A = 3 \pi r<sup>3</sup>, then .$ .

(True/False)

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Question 72

Find if .

(Essay)

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Question 73

y = sin ^-¹(4x). Find .

(Multiple Choice)

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Question 74

Find dy/dx if y⁸ = 7x.

(Multiple Choice)

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Question 75

Find dy/dx by differentiating implicitly. x⁹ + 3xy + 6x = 17

(Essay)

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Question 76

Find dy/dx if 13xy = 8.

(Multiple Choice)

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Question 77

Evaluate. .

(Essay)

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Question 78

The elastic modulus of a piece of steel rod under a load of 1200 pounds, is given by the formula , L is the original, unloaded, length in inches, A is the cross-sectional area in square inches, and l is the elongation (in inches) due to a load. A 24 inch long steel rod having a cross-sectional area of A = 2.85 square inches, is stretching 0.009 inches under a load of 1200 pounds. Due to changes in temperature, the elastic modulus E of the rod is changing. Find the rate of change of the elastic modulus if the elongation is currently 0.009 and is changing at a rate of 0.00037 in/s.

(Short Answer)

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Question 79

Find dy/dx by differentiating implicitly. xy⁸ = x⁷

(Essay)

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Question 80

Showing 61 - 80 of 171

Answer true or false. .

Let y = x³ - 3. Find dy if dx = 1 and the initial value of x is x = 3.

Use a differential to approximate .

Evaluate.

Let $Let . Find \Delta y if \Delta x = 1 and the initial value of x is x = 1.$ . Find $\Delta$ y if $\Delta$ x = 1 and the initial value of x is x = 1.

If sec(xy) = 18, find dy/dx.

Answer true or false. If z = 2x³y², then .

The sides of an equilateral triangle are increasing at the rate of 8 centimeters per hour. At what rate is the area increasing when the side is 20 centimeters? (Round your answer to three decimal places.)

Answer true or false. The formula for dy is D y = f(x)dx.

Answer true or false. If A = 3 $\pi$ r³, then $Answer true or false. If A = 3 \pi r<sup>3</sup>, then .$ .

Find if .

y = sin ^-¹(4x). Find .

Find dy/dx if y⁸ = 7x.

Find dy/dx by differentiating implicitly. x⁹ + 3xy + 6x = 17

Find dy/dx if 13xy = 8.

Evaluate. .

Find dy/dx by differentiating implicitly. xy⁸ = x⁷

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

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Parametric and Polar Curves; Conic Sections

Three-Dimensional Space; Vectors

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Exam 3: Topics in Deifferentiation

Answer true or false. .

Let y = x3 - 3. Find dy if dx = 1 and the initial value of x is x = 3.

Use a differential to approximate .

Evaluate.

Let . Find Δ\DeltaΔ y if Δ\DeltaΔ x = 1 and the initial value of x is x = 1.

If sec(xy) = 18, find dy/dx.

Answer true or false. If z = 2x3y2, then .

The sides of an equilateral triangle are increasing at the rate of 8 centimeters per hour. At what rate is the area increasing when the side is 20 centimeters? (Round your answer to three decimal places.)

Answer true or false. The formula for dy is D y = f(x)dx.

Answer true or false. If A = 3 π\piπ r3, then .

Find if .

y = sin -1(4x). Find .

Find dy/dx if y8 = 7x.

Find dy/dx by differentiating implicitly. x9 + 3xy + 6x = 17

Find dy/dx if 13xy = 8.

Evaluate. .

Find dy/dx by differentiating implicitly. xy8 = x7

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

Let y = x³ - 3. Find dy if dx = 1 and the initial value of x is x = 3.

Let $Let . Find \Delta y if \Delta x = 1 and the initial value of x is x = 1.$ . Find $\Delta$ y if $\Delta$ x = 1 and the initial value of x is x = 1.

Answer true or false. If z = 2x³y², then .

Answer true or false. If A = 3 $\pi$ r³, then $Answer true or false. If A = 3 \pi r<sup>3</sup>, then .$ .

y = sin ^-¹(4x). Find .

Find dy/dx if y⁸ = 7x.

Find dy/dx by differentiating implicitly. x⁹ + 3xy + 6x = 17

Find dy/dx by differentiating implicitly. xy⁸ = x⁷