Find the relative extrema for f(x) = x10/9 -10x-1/9.

@#IMG-DLM& Critical points at x = -1. (x

A) a relative minimum at x = 0 B) a relative maximum at x = 0 C) a relative maximum at x = 5 D) a relative minimum at x = 5 E) a relative minimum at x = -5 A) a relative minimum at x = 0 B) a relative maximum at x = 0 C) a relative maximum at x = 5 D) a relative minimum at x = 5 E) a relative minimum at x = -5

Approximate by applying Newton's Method to the equation x3 - 73 = 0. Use 4 for your initial value and calculate five iterations.

f(x) = x 3 - 73 f '(x) = 3x 2 @#IMG-DLM& x 1 =

Exam 4: The Derivative in Graphing and Applications

Use a graphing utility to generate the graph of f(x) = x⁴ - 14x³ + 29x² -36x + 2, then determine the x-coordinates of all relative extrema on (-10, 10) and identify them as relative maxima or relative minima.

(Multiple Choice)

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Question 541

Approximate by applying Newton's Method to the equation x² -44 = 0. Use 6 for your initial value and calculate five iterations.

(Essay)

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Question 542

The derivative of a continuous function is . Find all critical points and determine whether a relative maximum, relative minimum or neither occurs there.

(Essay)

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Question 543

Sketch the graph of . Find any stationary points and any points of inflection. Also find any horizontal and vertical asymptotes.

(Essay)

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Question 544

On a [-10, 10] by [-10, 10] window on a graphing utility the rational function has

(Multiple Choice)

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Question 545

f(x) = |7 - 6x| has an absolute minimum of

(Multiple Choice)

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Question 546

The largest open interval over which f is concave up for is

(Multiple Choice)

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Question 547

Use Newton's Method to approximate the greatest x-coordinate of the intersection of y = x³ - 2x and y = x⁴ + 4x - 4.

(Multiple Choice)

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Question 548

Find the relative extrema for f(x) = x^2/3(3 - x).

(Essay)

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Question 549

Find the point on the curve x² + y² = 121 closest to (10, 0).

(Short Answer)

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Question 550

Find the relative extrema for f(x) = x¹⁰^/⁹ -10x^-1^/⁹.

(Essay)

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Question 551

Find the value of c in the interval [0, 1] that satisfies the Mean Value Theorem. f(x) = x⁵ + 3

(Essay)

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Question 552

Verify that satisfies the hypothesis of the Mean-Value Theorem over the interval [3, 5] and find all values of C that satisfy the conclusion of the theorem.

(Essay)

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Question 553

f(x) = |x -5| has

(Multiple Choice)

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Question 554

A sheet of cardboard 30 in square is used to make an open box by cutting squares of equal size from the corners and folding up the sides. What size squares should be cut to obtain a box with largest possible volume?

(Essay)

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Question 555

Use Newton's Method to find the greatest x-coordinate of the intersection of y = 8x⁴-19x² and y = 11x² - 89.

(Multiple Choice)

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Question 556

The position function of a particle is given by s(t) = t⁷- 5t + 11. Find the acceleration when t = 3.

(Essay)

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Question 557

Answer true or false. f(x) = sin 4x cos 4x on has an absolute maximum at .

(True/False)

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Question 558

Approximate by applying Newton's Method to the equation x³ - 73 = 0. Use 4 for your initial value and calculate five iterations.

(Essay)

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Question 559

Answer true or false. Using a graphing utility it can be shown that f(x) = x⁴ sin 5x has a relative maximum on 0 < x < 2 $\pi$ .

(True/False)

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Question 560

Showing 541 - 560 of 656

Use a graphing utility to generate the graph of f(x) = x⁴ - 14x³ + 29x² -36x + 2, then determine the x-coordinates of all relative extrema on (-10, 10) and identify them as relative maxima or relative minima.

Approximate by applying Newton's Method to the equation x² -44 = 0. Use 6 for your initial value and calculate five iterations.

The derivative of a continuous function is . Find all critical points and determine whether a relative maximum, relative minimum or neither occurs there.

Sketch the graph of . Find any stationary points and any points of inflection. Also find any horizontal and vertical asymptotes.

On a [-10, 10] by [-10, 10] window on a graphing utility the rational function has

f(x) = |7 - 6x| has an absolute minimum of

The largest open interval over which f is concave up for is

Use Newton's Method to approximate the greatest x-coordinate of the intersection of y = x³ - 2x and y = x⁴ + 4x - 4.

Find the relative extrema for f(x) = x^2/3(3 - x).

Find the point on the curve x² + y² = 121 closest to (10, 0).

Find the relative extrema for f(x) = x¹⁰^/⁹ -10x^-1^/⁹.

Find the value of c in the interval [0, 1] that satisfies the Mean Value Theorem. f(x) = x⁵ + 3

Verify that satisfies the hypothesis of the Mean-Value Theorem over the interval [3, 5] and find all values of C that satisfy the conclusion of the theorem.

f(x) = |x -5| has

A sheet of cardboard 30 in square is used to make an open box by cutting squares of equal size from the corners and folding up the sides. What size squares should be cut to obtain a box with largest possible volume?

Use Newton's Method to find the greatest x-coordinate of the intersection of y = 8x⁴-19x² and y = 11x² - 89.

The position function of a particle is given by s(t) = t⁷- 5t + 11. Find the acceleration when t = 3.

Answer true or false. f(x) = sin 4x cos 4x on has an absolute maximum at .

Approximate by applying Newton's Method to the equation x³ - 73 = 0. Use 4 for your initial value and calculate five iterations.

Answer true or false. Using a graphing utility it can be shown that f(x) = x⁴ sin 5x has a relative maximum on 0 < x < 2 $\pi$ .

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

Exam 4: The Derivative in Graphing and Applications

Use a graphing utility to generate the graph of f(x) = x4 - 14x3 + 29x2 -36x + 2, then determine the x-coordinates of all relative extrema on (-10, 10) and identify them as relative maxima or relative minima.

Approximate by applying Newton's Method to the equation x2 -44 = 0. Use 6 for your initial value and calculate five iterations.

The derivative of a continuous function is . Find all critical points and determine whether a relative maximum, relative minimum or neither occurs there.

Sketch the graph of . Find any stationary points and any points of inflection. Also find any horizontal and vertical asymptotes.

On a [-10, 10] by [-10, 10] window on a graphing utility the rational function has

f(x) = |7 - 6x| has an absolute minimum of

The largest open interval over which f is concave up for is

Use Newton's Method to approximate the greatest x-coordinate of the intersection of y = x3 - 2x and y = x4 + 4x - 4.

Find the relative extrema for f(x) = x2/3(3 - x).

Find the point on the curve x2 + y2 = 121 closest to (10, 0).

Find the relative extrema for f(x) = x10/9 -10x-1/9.

Find the value of c in the interval [0, 1] that satisfies the Mean Value Theorem. f(x) = x5 + 3

Verify that satisfies the hypothesis of the Mean-Value Theorem over the interval [3, 5] and find all values of C that satisfy the conclusion of the theorem.

f(x) = |x -5| has

A sheet of cardboard 30 in square is used to make an open box by cutting squares of equal size from the corners and folding up the sides. What size squares should be cut to obtain a box with largest possible volume?

Use Newton's Method to find the greatest x-coordinate of the intersection of y = 8x4-19x2 and y = 11x2 - 89.

The position function of a particle is given by s(t) = t7- 5t + 11. Find the acceleration when t = 3.

Answer true or false. f(x) = sin 4x cos 4x on has an absolute maximum at .

Approximate by applying Newton's Method to the equation x3 - 73 = 0. Use 4 for your initial value and calculate five iterations.

Answer true or false. Using a graphing utility it can be shown that f(x) = x4 sin 5x has a relative maximum on 0 < x < 2 π\piπ .

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 a graphing utility to generate the graph of f(x) = x⁴ - 14x³ + 29x² -36x + 2, then determine the x-coordinates of all relative extrema on (-10, 10) and identify them as relative maxima or relative minima.

Approximate by applying Newton's Method to the equation x² -44 = 0. Use 6 for your initial value and calculate five iterations.

Use Newton's Method to approximate the greatest x-coordinate of the intersection of y = x³ - 2x and y = x⁴ + 4x - 4.

Find the relative extrema for f(x) = x^2/3(3 - x).

Find the point on the curve x² + y² = 121 closest to (10, 0).

Find the relative extrema for f(x) = x¹⁰^/⁹ -10x^-1^/⁹.

Find the value of c in the interval [0, 1] that satisfies the Mean Value Theorem. f(x) = x⁵ + 3

Use Newton's Method to find the greatest x-coordinate of the intersection of y = 8x⁴-19x² and y = 11x² - 89.

The position function of a particle is given by s(t) = t⁷- 5t + 11. Find the acceleration when t = 3.

Approximate by applying Newton's Method to the equation x³ - 73 = 0. Use 4 for your initial value and calculate five iterations.

Answer true or false. Using a graphing utility it can be shown that f(x) = x⁴ sin 5x has a relative maximum on 0 < x < 2 $\pi$ .