An object moves a distance s away from the origin according to the equation s(t) = 4t3 - 6t + 6, where 0 $\le$ t $\le$ 11. At what time is the object farthest from the origin?

A) 0 B) 11 C) 6 D) E) A) 0 B) 11 C) 6 D) E)

Let s(t) = 5t5 -5t be a position function. Fund v when t = 2.

A) 400 B) 76 C) 395 D) 150 E) 5 A) 400 B) 76 C) 395 D) 150 E) 5

The position function of a particle is given by s = 3t2 - 7t + 1 for t $\ge$ 0. Find the functions for v and a.

The answer of The position function of a particle is...

Use a graphing utility to estimate the absolute maximum of f(x) = (x - 3)2 on [-1, 5], if it exists.

A) 16 B) 3 C) -3 D) 0 E) None exists A) 16 B) 3 C) -3 D) 0 E) None exists

The polynomial function x2 - 4x + 8 has

A) one stationary point that is at x = 4 B) one stationary point that is at x = -2 C) two stationary points, one at x = 0 and one at x = 4 D) two stationary points, one at x = 2 and one at x = -2 E) one stationary point that is at x = 2 A) one stationary point that is at x = 4 B) one stationary point that is at x = -2 C) two stationary points, one at x = 0 and one at x = 4 D) two stationary points, one at x = 2 and one at x = -2 E) one stationary point that is at x = 2

If f(x) = 2x4 -11x3 + 44 , find the location of any inflection points.

The answer of If f(x) = 2x4 -11x3 + 44...

Exam 4: The Derivative in Graphing and Applications

An object moves a distance s away from the origin according to the equation s(t) = 4t³ - 6t + 6, where 0 $\le$ t $\le$ 11. At what time is the object farthest from the origin?

(Multiple Choice)

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Question 201

Sketch the graph of y = x^2/3(x - 7)². Find any stationary points, inflection points, and cusps which may or may not exist. Approximate answers to 4 decimal places.

(Essay)

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Question 202

The position function of a particle is given by s = t(t - 7)² for t $\ge$ 0. Find the functions for v and a.

(Essay)

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Question 203

f(x) = 2x⁵ + 10. Find the points of inflection

(Short Answer)

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Question 204

Answer true or false. .

(True/False)

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Question 205

Let s(t) = 5t⁵ -5t be a position function. Fund v when t = 2.

(Multiple Choice)

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(30)

Question 206

Given y = x^1/3(x + 5). Find any stationary points and any inflections points.

(Essay)

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Question 207

The largest interval over which f is increasing for f(x) = (x -2)⁸ is

(Multiple Choice)

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Question 208

Determine the x-coordinate of each stationary point of f(x) = 6x²-36x.

(Multiple Choice)

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Question 209

The position function of a particle is given by s = 3t² - 7t + 1 for t $\ge$ 0. Find the functions for v and a.

(Short Answer)

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(31)

Question 210

Verify that f(x) = x³ -3x²- 3x + 1 satisfies the hypothesis of the Mean-Value Theorem over the interval [0, 2] and find all values of C that satisfy the conclusion of the theorem.

(Essay)

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Question 211

Find the area of the largest possible isosceles triangle with 2 sides equal to 12.

(Essay)

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Question 212

Answer true or false. This can be the graph of a particle's position if the particle is moving to the right at t = 3.

(True/False)

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Question 213

Use a graphing utility to estimate the absolute maximum of f(x) = (x - 3)² on [-1, 5], if it exists.

(Multiple Choice)

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Question 214

Use Newton's Method to find the x-coordinate of the intersection of y = x⁴ + 2x³ and y = 2x² + 2x + 1.

(Multiple Choice)

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Question 215

If f(x) = x(x- 7)⁵ , find the intervals where f is concave up and where f is concave down.

(Essay)

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Question 216

The polynomial function x² - 4x + 8 has

(Multiple Choice)

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Question 217

Given f(x) = 4x³ -6x² - 4x + 10, find the intervals where f is concave up and where f is concave down.

(Essay)

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Question 218

The position function of a particle is given by s(t) = 3t + sin 3t. Find the acceleration function.

(Short Answer)

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Question 219

If f(x) = 2x⁴ -11x³ + 44 , find the location of any inflection points.

(Essay)

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Question 220

Showing 201 - 220 of 656

An object moves a distance s away from the origin according to the equation s(t) = 4t³ - 6t + 6, where 0 $\le$ t $\le$ 11. At what time is the object farthest from the origin?

Sketch the graph of y = x^2/3(x - 7)². Find any stationary points, inflection points, and cusps which may or may not exist. Approximate answers to 4 decimal places.

The position function of a particle is given by s = t(t - 7)² for t $\ge$ 0. Find the functions for v and a.

f(x) = 2x⁵ + 10. Find the points of inflection

Answer true or false. .

Let s(t) = 5t⁵ -5t be a position function. Fund v when t = 2.

Given y = x^1/3(x + 5). Find any stationary points and any inflections points.

The largest interval over which f is increasing for f(x) = (x -2)⁸ is

Determine the x-coordinate of each stationary point of f(x) = 6x²-36x.

The position function of a particle is given by s = 3t² - 7t + 1 for t $\ge$ 0. Find the functions for v and a.

Verify that f(x) = x³ -3x²- 3x + 1 satisfies the hypothesis of the Mean-Value Theorem over the interval [0, 2] and find all values of C that satisfy the conclusion of the theorem.

Find the area of the largest possible isosceles triangle with 2 sides equal to 12.

Answer true or false. This can be the graph of a particle's position if the particle is moving to the right at t = 3.

Use a graphing utility to estimate the absolute maximum of f(x) = (x - 3)² on [-1, 5], if it exists.

Use Newton's Method to find the x-coordinate of the intersection of y = x⁴ + 2x³ and y = 2x² + 2x + 1.

If f(x) = x(x- 7)⁵ , find the intervals where f is concave up and where f is concave down.

The polynomial function x² - 4x + 8 has

Given f(x) = 4x³ -6x² - 4x + 10, find the intervals where f is concave up and where f is concave down.

The position function of a particle is given by s(t) = 3t + sin 3t. Find the acceleration function.

If f(x) = 2x⁴ -11x³ + 44 , find the location of any inflection points.

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

An object moves a distance s away from the origin according to the equation s(t) = 4t3 - 6t + 6, where 0 ≤\le≤ t ≤\le≤ 11. At what time is the object farthest from the origin?

Sketch the graph of y = x2/3(x - 7)2. Find any stationary points, inflection points, and cusps which may or may not exist. Approximate answers to 4 decimal places.

The position function of a particle is given by s = t(t - 7)2 for t ≥\ge≥ 0. Find the functions for v and a.

f(x) = 2x5 + 10. Find the points of inflection

Answer true or false. .

Let s(t) = 5t5 -5t be a position function. Fund v when t = 2.

Given y = x1/3(x + 5). Find any stationary points and any inflections points.

The largest interval over which f is increasing for f(x) = (x -2)8 is

Determine the x-coordinate of each stationary point of f(x) = 6x2-36x.

The position function of a particle is given by s = 3t2 - 7t + 1 for t ≥\ge≥ 0. Find the functions for v and a.

Verify that f(x) = x3 -3x2- 3x + 1 satisfies the hypothesis of the Mean-Value Theorem over the interval [0, 2] and find all values of C that satisfy the conclusion of the theorem.

Find the area of the largest possible isosceles triangle with 2 sides equal to 12.

Answer true or false. This can be the graph of a particle's position if the particle is moving to the right at t = 3.

Use a graphing utility to estimate the absolute maximum of f(x) = (x - 3)2 on [-1, 5], if it exists.

Use Newton's Method to find the x-coordinate of the intersection of y = x4 + 2x3 and y = 2x2 + 2x + 1.

If f(x) = x(x- 7)5 , find the intervals where f is concave up and where f is concave down.

The polynomial function x2 - 4x + 8 has

Given f(x) = 4x3 -6x2 - 4x + 10, find the intervals where f is concave up and where f is concave down.

The position function of a particle is given by s(t) = 3t + sin 3t. Find the acceleration function.

If f(x) = 2x4 -11x3 + 44 , find the location of any inflection points.

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

An object moves a distance s away from the origin according to the equation s(t) = 4t³ - 6t + 6, where 0 $\le$ t $\le$ 11. At what time is the object farthest from the origin?

Sketch the graph of y = x^2/3(x - 7)². Find any stationary points, inflection points, and cusps which may or may not exist. Approximate answers to 4 decimal places.

The position function of a particle is given by s = t(t - 7)² for t $\ge$ 0. Find the functions for v and a.

f(x) = 2x⁵ + 10. Find the points of inflection

Let s(t) = 5t⁵ -5t be a position function. Fund v when t = 2.

Given y = x^1/3(x + 5). Find any stationary points and any inflections points.

The largest interval over which f is increasing for f(x) = (x -2)⁸ is

Determine the x-coordinate of each stationary point of f(x) = 6x²-36x.

The position function of a particle is given by s = 3t² - 7t + 1 for t $\ge$ 0. Find the functions for v and a.

Verify that f(x) = x³ -3x²- 3x + 1 satisfies the hypothesis of the Mean-Value Theorem over the interval [0, 2] and find all values of C that satisfy the conclusion of the theorem.

Use a graphing utility to estimate the absolute maximum of f(x) = (x - 3)² on [-1, 5], if it exists.

Use Newton's Method to find the x-coordinate of the intersection of y = x⁴ + 2x³ and y = 2x² + 2x + 1.

If f(x) = x(x- 7)⁵ , find the intervals where f is concave up and where f is concave down.

The polynomial function x² - 4x + 8 has

Given f(x) = 4x³ -6x² - 4x + 10, find the intervals where f is concave up and where f is concave down.

If f(x) = 2x⁴ -11x³ + 44 , find the location of any inflection points.