s(t) = 5t4 - 4. Find t when a = 0.

A) 60 B) -60 C) 5 D) -5 E) 0 A) 60 B) -60 C) 5 D) -5 E) 0

f(x) = 2x2 - 6x + 10 on (-$\infty$, $\infty$) has

A) only an absolute maximum B) only an absolute minimum C) both an absolute maximum and an absolute minimum D) neither an absolute maximum nor an absolute minimum. E) cannot be determined A) only an absolute maximum B) only an absolute minimum C) both an absolute maximum and an absolute minimum D) neither an absolute maximum nor an absolute minimum. E) cannot be determined

The position function of a particle is given by s(t) = 6t2 - 3t + 8. Find the acceleration function.

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

The stiffness of a beam of rectangular cross section is proportional to the product xy3. Find the stiffest beam which can be cut from a log with diameter d = 28 inches. See figure on right.

S = kxy 3 and from the figure, x

A) 20 B) -20 C) 10 D) -10 E) 0 A) 20 B) -20 C) 10 D) -10 E) 0

Exam 4: The Derivative in Graphing and Applications

A rectangular sheet of cardboard 64 cm by 69 cm is used to make an open box by cutting squares of equal size from the four corners and folding up the sides. What size squares should be cut to obtain the largest possible volume?

(Multiple Choice)

4.9/5

(85)

Question 161

f(x) = x⁴ - 4x² - 3 is concave down on the interval I = (Approximate your answer to 3 decimal places.)

(Multiple Choice)

5.0/5

(75)

Question 162

s(t) = 5t⁴ - 4. Find t when a = 0.

(Multiple Choice)

4.9/5

(81)

Question 163

The position function of a particle is given by s(t) = 4t⁹ -5t + 9. Find the velocity function.

(Short Answer)

4.9/5

(79)

Question 164

f(x) = 4x⁵ + 3. Find the points of inflection

(Short Answer)

5.0/5

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Question 165

Answer true or false. .

(True/False)

4.9/5

(72)

Question 166

A lighthouse is 8 miles off a straight coast and a town is located 18 miles down the seacoast. Supplies are to be moved from the town to the lighthouse on a regular basis and at a minimum time. If the supplies can be moved at the rate of 7 miles/hour on water and 25 miles/hour over land, how far from the town should a dock be constructed for shipment of supplies?

(Essay)

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Question 167

f(x) = 2x² - 6x + 10 on (- $\infty$ , $\infty$ ) has

(Multiple Choice)

5.0/5

(80)

Question 168

The position function of a particle is given by s(t) = 6t² - 3t + 8. Find the acceleration function.

(Short Answer)

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(74)

Question 169

Determine the x-coordinate of each critical point of .

(Multiple Choice)

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Question 170

The largest interval over which f is increasing for f(x) = x³ - 6 is

(Multiple Choice)

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(78)

Question 171

The stiffness of a beam of rectangular cross section is proportional to the product xy³. Find the stiffest beam which can be cut from a log with diameter d = 28 inches. See figure on right.

(Essay)

4.8/5

(83)

Question 172

Find the relative extrema for f(x) = (x + 4)^-^1/5.

(Essay)

5.0/5

(80)

Question 173

Find s when a = 0.

(Multiple Choice)

4.9/5

(70)

Question 174

Verify that f(x) = x² + 7x - 3 satisfies the hypothesis of the Mean-Value Theorem over the interval [0, 1] and find all values of C that satisfy the conclusion of the theorem.

(Essay)

4.8/5

(68)

Question 175

Find the extreme values for $Find the extreme values for on the interval (0, + \iff ) and determine where those values occur.$ on the interval (0, + $\iff$ ) and determine where those values occur.

(Essay)

5.0/5

(80)

Question 176

The position function of a particle is given by s(t) = t⁵. Find the acceleration function.

(Short Answer)

4.9/5

(80)

Question 177

Approximate by applying Newton's Method to the equation x³ + 47 = 0.

(Essay)

4.9/5

(85)

Question 178

f(x) = cos 4x. Find the points of inflection on [0, $\pi$ /2].

(Essay)

4.7/5

(79)

Question 179

Use Newton's Method to find the largest positive solution of x⁴ + 2x³ -2x² - 8x -10 = 0.

(Multiple Choice)

5.0/5

(77)

Question 180

Showing 161 - 180 of 656

A rectangular sheet of cardboard 64 cm by 69 cm is used to make an open box by cutting squares of equal size from the four corners and folding up the sides. What size squares should be cut to obtain the largest possible volume?

f(x) = x⁴ - 4x² - 3 is concave down on the interval I = (Approximate your answer to 3 decimal places.)

s(t) = 5t⁴ - 4. Find t when a = 0.

The position function of a particle is given by s(t) = 4t⁹ -5t + 9. Find the velocity function.

f(x) = 4x⁵ + 3. Find the points of inflection

Answer true or false. .

f(x) = 2x² - 6x + 10 on (- $\infty$ , $\infty$ ) has

The position function of a particle is given by s(t) = 6t² - 3t + 8. Find the acceleration function.

Determine the x-coordinate of each critical point of .

The largest interval over which f is increasing for f(x) = x³ - 6 is

The stiffness of a beam of rectangular cross section is proportional to the product xy³. Find the stiffest beam which can be cut from a log with diameter d = 28 inches. See figure on right.

Find the relative extrema for f(x) = (x + 4)^-^1/5.

Find s when a = 0.

Verify that f(x) = x² + 7x - 3 satisfies the hypothesis of the Mean-Value Theorem over the interval [0, 1] and find all values of C that satisfy the conclusion of the theorem.

Find the extreme values for $Find the extreme values for on the interval (0, + \iff ) and determine where those values occur.$ on the interval (0, + $\iff$ ) and determine where those values occur.

The position function of a particle is given by s(t) = t⁵. Find the acceleration function.

Approximate by applying Newton's Method to the equation x³ + 47 = 0.

f(x) = cos 4x. Find the points of inflection on [0, $\pi$ /2].

Use Newton's Method to find the largest positive solution of x⁴ + 2x³ -2x² - 8x -10 = 0.

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

A rectangular sheet of cardboard 64 cm by 69 cm is used to make an open box by cutting squares of equal size from the four corners and folding up the sides. What size squares should be cut to obtain the largest possible volume?

f(x) = x4 - 4x2 - 3 is concave down on the interval I = (Approximate your answer to 3 decimal places.)

s(t) = 5t4 - 4. Find t when a = 0.

The position function of a particle is given by s(t) = 4t9 -5t + 9. Find the velocity function.

f(x) = 4x5 + 3. Find the points of inflection

Answer true or false. .

f(x) = 2x2 - 6x + 10 on (- ∞\infty∞ , ∞\infty∞ ) has

The position function of a particle is given by s(t) = 6t2 - 3t + 8. Find the acceleration function.

Determine the x-coordinate of each critical point of .

The largest interval over which f is increasing for f(x) = x3 - 6 is

The stiffness of a beam of rectangular cross section is proportional to the product xy3. Find the stiffest beam which can be cut from a log with diameter d = 28 inches. See figure on right.

Find the relative extrema for f(x) = (x + 4)-1/5.

Find s when a = 0.

Verify that f(x) = x2 + 7x - 3 satisfies the hypothesis of the Mean-Value Theorem over the interval [0, 1] and find all values of C that satisfy the conclusion of the theorem.

Find the extreme values for on the interval (0, + ⟺ \iff⟺ ) and determine where those values occur.

The position function of a particle is given by s(t) = t5. Find the acceleration function.

Approximate by applying Newton's Method to the equation x3 + 47 = 0.

f(x) = cos 4x. Find the points of inflection on [0, π\piπ /2].

Use Newton's Method to find the largest positive solution of x4 + 2x3 -2x2 - 8x -10 = 0.

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

f(x) = x⁴ - 4x² - 3 is concave down on the interval I = (Approximate your answer to 3 decimal places.)

s(t) = 5t⁴ - 4. Find t when a = 0.

The position function of a particle is given by s(t) = 4t⁹ -5t + 9. Find the velocity function.

f(x) = 4x⁵ + 3. Find the points of inflection

f(x) = 2x² - 6x + 10 on (- $\infty$ , $\infty$ ) has

The position function of a particle is given by s(t) = 6t² - 3t + 8. Find the acceleration function.

The largest interval over which f is increasing for f(x) = x³ - 6 is

The stiffness of a beam of rectangular cross section is proportional to the product xy³. Find the stiffest beam which can be cut from a log with diameter d = 28 inches. See figure on right.

Find the relative extrema for f(x) = (x + 4)^-^1/5.

Verify that f(x) = x² + 7x - 3 satisfies the hypothesis of the Mean-Value Theorem over the interval [0, 1] and find all values of C that satisfy the conclusion of the theorem.

Find the extreme values for $Find the extreme values for on the interval (0, + \iff ) and determine where those values occur.$ on the interval (0, + $\iff$ ) and determine where those values occur.

The position function of a particle is given by s(t) = t⁵. Find the acceleration function.

Approximate by applying Newton's Method to the equation x³ + 47 = 0.

f(x) = cos 4x. Find the points of inflection on [0, $\pi$ /2].

Use Newton's Method to find the largest positive solution of x⁴ + 2x³ -2x² - 8x -10 = 0.