Find the exact value of cos -1(1).

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

Let y = 4x4. Find dy at x = 4 if dx = -0.01.

A) 1024 B) -40.96 C) -163.84 D) -102,400 E) -10.24 A) 1024 B) -40.96 C) -163.84 D) -102,400 E) -10.24

The volume of a cylinder is given by V = $\pi$r2h. Find in terms of . (Assume that r is a constant.)

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

Let y = x3 - 6. Find $\Delta$y if $\Delta$x = 3 and the initial value of x is x = 2.

The answer of Let y = x3 - 6. Find...

Exam 3: Topics in Deifferentiation

A circular cylinder has a radius r and a height h feet. If the height and radius both increase at the constant rate of 16 feet per minute, at what rate is the lateral surface area increasing?

(Essay)

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Question 21

Find if y sin x = 24.

(Multiple Choice)

4.7/5

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Question 22

y = ln(cot x). Find .

(Multiple Choice)

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Question 23

Find if .

(Essay)

4.9/5

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Question 24

Find the exact value of cos ^-¹(1).

(Multiple Choice)

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Question 25

The surface area S of a cube is to be computed from a measured value of its side x. Estimate the maximum permissible percentage error in the side measurement if the percentage error in the surface area must be kept to within ±1%.

(Essay)

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Question 26

A small suspended droplet of radius 10 microns is growing. If dr = 0.004 micron find the change in the volume, dV, to the nearest thousandth of a cubic micron.

(Multiple Choice)

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Question 27

Find if .

(Essay)

4.8/5

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Question 28

If y = tan x, find the formula for $\Delta$ y.

(Multiple Choice)

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Question 29

Let y = 4x⁴. Find dy at x = 4 if dx = -0.01.

(Multiple Choice)

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Question 30

The volume of a cylinder is given by V = $\pi$ r²h. Find $The volume of a cylinder is given by V = \pi r<sup>2</sup>h. Find in terms of . (Assume that r is a constant.)$ in terms of $The volume of a cylinder is given by V = \pi r<sup>2</sup>h. Find in terms of . (Assume that r is a constant.)$ . (Assume that r is a constant.)

(Multiple Choice)

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Question 31

The volume of a sphere is given by , where r is the radius. Given that the radius increases at 0.002 m/s when r = 1.2 m, find the rate at which the volume increases. Round your answer to four decimal places.

(Short Answer)

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Question 32

Use implicit differentiation to find if x ln y = 3.

(Essay)

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Question 33

If y = ln(cos x) find .

(Multiple Choice)

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Question 34

Answer true or false. A cube is expanding, so .

(True/False)

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Question 35

The area of a circle is to be computed from a measured value of its diameter. Estimate the maximum permissible percentage error in the measurement if the percentage error in the area must be kept within 0.5%.

(Essay)

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Question 36

Let y = x³ - 6. Find $\Delta$ y if $\Delta$ x = 3 and the initial value of x is x = 2.

(Short Answer)

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Question 37

Evaluate. .

(Essay)

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Question 38

Find if .

(Essay)

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Question 39

The elastic modulus of a piece of steel rod under a load of 1600 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 due to a load in inches. A 60 inch long steel rod is with a cross-sectional area of A = 0.35 square inches, is stretching 0.007 inches under a load of 1600 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 0.007 and is changing at a rate of 0.00029 in/s.

(Multiple Choice)

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Question 40

Showing 21 - 40 of 171

A circular cylinder has a radius r and a height h feet. If the height and radius both increase at the constant rate of 16 feet per minute, at what rate is the lateral surface area increasing?

Find if y sin x = 24.

y = ln(cot x). Find .

Find if .

Find the exact value of cos ^-¹(1).

The surface area S of a cube is to be computed from a measured value of its side x. Estimate the maximum permissible percentage error in the side measurement if the percentage error in the surface area must be kept to within ±1%.

A small suspended droplet of radius 10 microns is growing. If dr = 0.004 micron find the change in the volume, dV, to the nearest thousandth of a cubic micron.

Find if .

If y = tan x, find the formula for $\Delta$ y.

Let y = 4x⁴. Find dy at x = 4 if dx = -0.01.

The volume of a sphere is given by , where r is the radius. Given that the radius increases at 0.002 m/s when r = 1.2 m, find the rate at which the volume increases. Round your answer to four decimal places.

Use implicit differentiation to find if x ln y = 3.

If y = ln(cos x) find .

Answer true or false. A cube is expanding, so .

The area of a circle is to be computed from a measured value of its diameter. Estimate the maximum permissible percentage error in the measurement if the percentage error in the area must be kept within 0.5%.

Let y = x³ - 6. Find $\Delta$ y if $\Delta$ x = 3 and the initial value of x is x = 2.

Evaluate. .

Find if .

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

A circular cylinder has a radius r and a height h feet. If the height and radius both increase at the constant rate of 16 feet per minute, at what rate is the lateral surface area increasing?

Find if y sin x = 24.

y = ln(cot x). Find .

Find if .

Find the exact value of cos -1(1).

The surface area S of a cube is to be computed from a measured value of its side x. Estimate the maximum permissible percentage error in the side measurement if the percentage error in the surface area must be kept to within ±1%.

A small suspended droplet of radius 10 microns is growing. If dr = 0.004 micron find the change in the volume, dV, to the nearest thousandth of a cubic micron.

Find if .

If y = tan x, find the formula for Δ\DeltaΔ y.

Let y = 4x4. Find dy at x = 4 if dx = -0.01.

The volume of a cylinder is given by V = π\piπ r2h. Find in terms of . (Assume that r is a constant.)

The volume of a sphere is given by , where r is the radius. Given that the radius increases at 0.002 m/s when r = 1.2 m, find the rate at which the volume increases. Round your answer to four decimal places.

Use implicit differentiation to find if x ln y = 3.

If y = ln(cos x) find .

Answer true or false. A cube is expanding, so .

The area of a circle is to be computed from a measured value of its diameter. Estimate the maximum permissible percentage error in the measurement if the percentage error in the area must be kept within 0.5%.

Let y = x3 - 6. Find Δ\DeltaΔ y if Δ\DeltaΔ x = 3 and the initial value of x is x = 2.

Evaluate. .

Find if .

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

Find the exact value of cos ^-¹(1).

If y = tan x, find the formula for $\Delta$ y.

Let y = 4x⁴. Find dy at x = 4 if dx = -0.01.

Let y = x³ - 6. Find $\Delta$ y if $\Delta$ x = 3 and the initial value of x is x = 2.