Use Newton's Method to find the largest positive solution of x4 + 4x - 5 = 0. Use 4 for your initial value and calculate eight iterations.

A) 1.0000000 B) 1.2164332 C) 1.6112108 D) 2.1938904 E) 2.9730769 A) 1.0000000 B) 1.2164332 C) 1.6112108 D) 2.1938904 E) 2.9730769

Find the value for which f(x) = x3 -8 on [3, 7] satisfies the Mean-Value Theorem.

A) 4.509 B) 3.512 C) 8.888 D) 5.132 E) 6.285 A) 4.509 B) 3.512 C) 8.888 D) 5.132 E) 6.285

If f(x) = 2x4 - 36x2 , find the location of any inflection points.

The answer of If f(x) = 2x4 - 36x2 ,...

s(t) = 4t - 3t2, t $\ge$ 0. The velocity function is

A) 4 - 3t B) 4t - 6t2 C) 4 - 6t D) 8 - 6t E) 4t - 3t A) 4 - 3t B) 4t - 6t2 C) 4 - 6t D) 8 - 6t E) 4t - 3t

Exam 4: The Derivative in Graphing and Applications

Two fences, a distance of d = 16 feet apart are to be constructed so that the first fence is a height of h = 2 feet high and the second fence is higher than the first. What is the length of the shortest pole that has one end on the ground, passing over the first fence and reaches the second fence? See figure.

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Question 121

The function has a point of inflection with an x-coordinate of

(Multiple Choice)

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Question 122

Sketch a continuous curve y = f(x) for x > 0 if = 0, and f '(x) = for all x > 0. Is the curve concave up or concave down?

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Question 123

Use Newton's Method to find the largest positive solution of x⁴ + 4x - 5 = 0. Use 4 for your initial value and calculate eight iterations.

(Multiple Choice)

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Question 124

Find the value for which f(x) = x³ -8 on [3, 7] satisfies the Mean-Value Theorem.

(Multiple Choice)

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Question 125

The equation, has one real solution for . Approximate it by Newton's Method.

(Essay)

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Question 126

Does satisfy the hypothesis of the Mean-Value Theorem over the interval [0, 7]? If so, find all values of C that satisfy the conclusion of the theorem.

(Essay)

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Question 127

Use a graphing utility to graph f(x) = . How many points of inflection does the function have?

(Multiple Choice)

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Question 128

Let s(t) = sin 3t be a position function of a particle. At the particle's velocity is

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Question 129

Answer true or false. An object that is thrown upward and reaches a height of s(t) = 100 + 160t - 16t² for 0 $\le$ t $\le$ 3. The object is highest at t = 4.

(True/False)

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Question 130

Find the relative extreme values for on the interval [-10, 10] and determine where those values occur.

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Question 131

Find all relative extrema of f(x) = |x⁶ - 64|.

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Question 132

If f(x) = 2x⁴ - 36x²_,find the location of any inflection points.

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Question 133

The graph represents a position function. Determine what is happening to the velocity at t = 0.

(Multiple Choice)

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Question 134

Answer true or false. has an oblique asymptote.

(True/False)

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Question 135

If three sides of a trapezoid are a = 8 inches long, how long should the fourth side be if the area is a maximum? [Area of a trapezoid = where a and b are the lengths of the parallel sides and h = height.]

(Essay)

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Question 136

The position function of a particle is given by $The position function of a particle is given by for t \ge 0. Find the functions for v and a.$ for t $\ge$ 0. Find the functions for v and a.

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Question 137

s(t) = 4t - 3t², t $\ge$ 0. The velocity function is

(Multiple Choice)

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Question 138

Answer true or false. If the graph on the left is a position function, the graph on the right represents the corresponding velocity function. y = x²

(True/False)

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Question 139

Find all relative extrema of f(x) = 7x² - 28x + 9.

(Short Answer)

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Question 140

Showing 121 - 140 of 656

The function has a point of inflection with an x-coordinate of

Sketch a continuous curve y = f(x) for x > 0 if = 0, and f '(x) = for all x > 0. Is the curve concave up or concave down?

Use Newton's Method to find the largest positive solution of x⁴ + 4x - 5 = 0. Use 4 for your initial value and calculate eight iterations.

Find the value for which f(x) = x³ -8 on [3, 7] satisfies the Mean-Value Theorem.

The equation, has one real solution for . Approximate it by Newton's Method.

Does satisfy the hypothesis of the Mean-Value Theorem over the interval [0, 7]? If so, find all values of C that satisfy the conclusion of the theorem.

Use a graphing utility to graph f(x) = . How many points of inflection does the function have?

Let s(t) = sin 3t be a position function of a particle. At the particle's velocity is

Answer true or false. An object that is thrown upward and reaches a height of s(t) = 100 + 160t - 16t² for 0 $\le$ t $\le$ 3. The object is highest at t = 4.

Find the relative extreme values for on the interval [-10, 10] and determine where those values occur.

Find all relative extrema of f(x) = |x⁶ - 64|.

If f(x) = 2x⁴ - 36x²_,find the location of any inflection points.

The graph represents a position function. Determine what is happening to the velocity at t = 0.

Answer true or false. has an oblique asymptote.

If three sides of a trapezoid are a = 8 inches long, how long should the fourth side be if the area is a maximum? [Area of a trapezoid = where a and b are the lengths of the parallel sides and h = height.]

The position function of a particle is given by $The position function of a particle is given by for t \ge 0. Find the functions for v and a.$ for t $\ge$ 0. Find the functions for v and a.

s(t) = 4t - 3t², t $\ge$ 0. The velocity function is

Answer true or false. If the graph on the left is a position function, the graph on the right represents the corresponding velocity function. y = x²

Find all relative extrema of f(x) = 7x² - 28x + 9.

Limits and Continuity

The Derivative

Topics in Deifferentiation

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

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Exam 4: The Derivative in Graphing and Applications

The function has a point of inflection with an x-coordinate of

Sketch a continuous curve y = f(x) for x > 0 if = 0, and f '(x) = for all x > 0. Is the curve concave up or concave down?

Use Newton's Method to find the largest positive solution of x4 + 4x - 5 = 0. Use 4 for your initial value and calculate eight iterations.

Find the value for which f(x) = x3 -8 on [3, 7] satisfies the Mean-Value Theorem.

The equation, has one real solution for . Approximate it by Newton's Method.

Does satisfy the hypothesis of the Mean-Value Theorem over the interval [0, 7]? If so, find all values of C that satisfy the conclusion of the theorem.

Use a graphing utility to graph f(x) = . How many points of inflection does the function have?

Let s(t) = sin 3t be a position function of a particle. At the particle's velocity is

Answer true or false. An object that is thrown upward and reaches a height of s(t) = 100 + 160t - 16t2 for 0 ≤\le≤ t ≤\le≤ 3. The object is highest at t = 4.

Find the relative extreme values for on the interval [-10, 10] and determine where those values occur.

Find all relative extrema of f(x) = |x6 - 64|.

If f(x) = 2x4 - 36x2 , find the location of any inflection points.

The graph represents a position function. Determine what is happening to the velocity at t = 0.

Answer true or false. has an oblique asymptote.

If three sides of a trapezoid are a = 8 inches long, how long should the fourth side be if the area is a maximum? [Area of a trapezoid = where a and b are the lengths of the parallel sides and h = height.]

The position function of a particle is given by for t ≥\ge≥ 0. Find the functions for v and a.

s(t) = 4t - 3t2, t ≥\ge≥ 0. The velocity function is

Answer true or false. If the graph on the left is a position function, the graph on the right represents the corresponding velocity function. y = x2

Find all relative extrema of f(x) = 7x2 - 28x + 9.

Limits and Continuity

The Derivative

Topics in Deifferentiation

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

Use Newton's Method to find the largest positive solution of x⁴ + 4x - 5 = 0. Use 4 for your initial value and calculate eight iterations.

Find the value for which f(x) = x³ -8 on [3, 7] satisfies the Mean-Value Theorem.

Answer true or false. An object that is thrown upward and reaches a height of s(t) = 100 + 160t - 16t² for 0 $\le$ t $\le$ 3. The object is highest at t = 4.

Find all relative extrema of f(x) = |x⁶ - 64|.

If f(x) = 2x⁴ - 36x²_,find the location of any inflection points.

The position function of a particle is given by $The position function of a particle is given by for t \ge 0. Find the functions for v and a.$ for t $\ge$ 0. Find the functions for v and a.

s(t) = 4t - 3t², t $\ge$ 0. The velocity function is

Answer true or false. If the graph on the left is a position function, the graph on the right represents the corresponding velocity function. y = x²

Find all relative extrema of f(x) = 7x² - 28x + 9.