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Exam 13: Functions of Several Variables

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Exam 1: Preparation for Calculus125 Questionsadd course
Exam 2: Limits and Their Properties85 Questionsadd course
Exam 3: Differentiation193 Questionsadd course
Exam 4: Applications of Differentiation154 Questionsadd course
Exam 5: Integration184 Questionsadd course
Exam 6: Differential Equations93 Questionsadd course
Exam 7: Applications of Integration119 Questionsadd course
Exam 8: Integration Techniques and Improper Integrals130 Questionsadd course
Exam 9: Infinite Series181 Questionsadd course
Exam 10: Conics, Parametric Equations, and Polar Coordinates114 Questionsadd course
Exam 11: Vectors and the Geometry of Space130 Questionsadd course
Exam 12: Vector-Valued Functions85 Questionsadd course
Exam 13: Functions of Several Variables173 Questionsadd course
Exam 14: Multiple Integration143 Questionsadd course
Exam 15: Vector Anal142 Questionsadd course
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Suppose the formula for wind chill C (in degrees Fahrenheit) is given by Suppose the formula for wind chill C (in degrees Fahrenheit) is given by where v is the wind speed in miles per hour and T is the temperature in degrees Fahrenheit. The wind speed is miles per hour and the temperature is Fahrenheit. Use to estimate the maximum possible propagated error in calculating the wind chill. Round your answer to four decimal places. where v is the wind speed in miles per hour and T is the temperature in degrees Fahrenheit. The wind speed is Suppose the formula for wind chill C (in degrees Fahrenheit) is given by where v is the wind speed in miles per hour and T is the temperature in degrees Fahrenheit. The wind speed is miles per hour and the temperature is Fahrenheit. Use to estimate the maximum possible propagated error in calculating the wind chill. Round your answer to four decimal places. miles per hour and the temperature is Suppose the formula for wind chill C (in degrees Fahrenheit) is given by where v is the wind speed in miles per hour and T is the temperature in degrees Fahrenheit. The wind speed is miles per hour and the temperature is Fahrenheit. Use to estimate the maximum possible propagated error in calculating the wind chill. Round your answer to four decimal places. Fahrenheit. Use Suppose the formula for wind chill C (in degrees Fahrenheit) is given by where v is the wind speed in miles per hour and T is the temperature in degrees Fahrenheit. The wind speed is miles per hour and the temperature is Fahrenheit. Use to estimate the maximum possible propagated error in calculating the wind chill. Round your answer to four decimal places. to estimate the maximum possible propagated error in calculating the wind chill. Round your answer to four decimal places.

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Question 161

Use the gradient to find the directional derivative of the function at P in the direction of Q. Use the gradient to find the directional derivative of the function at P in the direction of Q.

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Question 162

Find the limit. Find the limit.

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Question 163

Sketch the level curves for the function Sketch the level curves for the function for the given c-values . for the given c-values Sketch the level curves for the function for the given c-values . .

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Question 164

Find the partial derivative Find the partial derivative for the function . ​ for the function Find the partial derivative for the function . ​ . ​

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Question 165

The parametric equations for the paths of two projectiles are given below. At what rate is the distance between the two objects changing at The parametric equations for the paths of two projectiles are given below. At what rate is the distance between the two objects changing at ? Round your answer to two decimal places. ? Round your answer to two decimal places. The parametric equations for the paths of two projectiles are given below. At what rate is the distance between the two objects changing at ? Round your answer to two decimal places. The parametric equations for the paths of two projectiles are given below. At what rate is the distance between the two objects changing at ? Round your answer to two decimal places.

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Question 166

Find the total differential of the function Find the total differential of the function . .

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Question 167

For For , evaluate at the point . , evaluate For , evaluate at the point . at the point For , evaluate at the point . .

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Question 168

List the critical points of the function List the critical points of the function for which the Second Partial Test fails. for which the Second Partial Test fails.

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Question 169

Find the directional derivative of the function at P in the direction of Find the directional derivative of the function at P in the direction of . . Find the directional derivative of the function at P in the direction of .

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Question 170

Find the directional derivative of the function at P in the direction of Find the directional derivative of the function at P in the direction of . . Find the directional derivative of the function at P in the direction of .

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Question 171

Given Given , use the total differential to approximate at towards . Round your answer to two decimal places. ​ , use the total differential to approximate Given , use the total differential to approximate at towards . Round your answer to two decimal places. ​ at Given , use the total differential to approximate at towards . Round your answer to two decimal places. ​ towards Given , use the total differential to approximate at towards . Round your answer to two decimal places. ​ . Round your answer to two decimal places. ​

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Question 172

Find symmetric equations of the tangent line to the curve of intersection of the surfaces Find symmetric equations of the tangent line to the curve of intersection of the surfaces , at the point . , Find symmetric equations of the tangent line to the curve of intersection of the surfaces , at the point . at the point Find symmetric equations of the tangent line to the curve of intersection of the surfaces , at the point . .

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