Chat with AIExam 13: Section 6: Functions of Several Variables
Exam 1: Section 1: Preparation for Calculus16 Questions
Exam 1: Section 2: Preparation for Calculus26 Questions
Exam 1: Section 3: Preparation for Calculus23 Questions
Exam 1: Section 4: Preparation for Calculus16 Questions
Exam 1: Section 5: Preparation for Calculus25 Questions
Exam 1: Section 6: Preparation for Calculus8 Questions
Exam 2: Section 1: Limits and Their Properties10 Questions
Exam 2: Section 2: Limits and Their Properties14 Questions
Exam 2: Section 3: Limits and Their Properties25 Questions
Exam 2: Section 4: Limits and Their Properties20 Questions
Exam 2: Section 5 : Limits and Their Properties18 Questions
Exam 3: Section 1 : Differentiation20 Questions
Exam 3: Section 2: Differentiation25 Questions
Exam 3: Section 3: Differentiation26 Questions
Exam 3: Section 4 : Differentiation44 Questions
Exam 3: Section 5: Differentiation30 Questions
Exam 3: Section 6: Differentiation16 Questions
Exam 3: Section 7: Differentiation16 Questions
Exam 3: Section 8: Differentiation12 Questions
Exam 4: Section 1 : Applications of Differentiation19 Questions
Exam 4: Section 2: Applications of Differentiation17 Questions
Exam 4: Section 3: Applications of Differentiation17 Questions
Exam 4: Section 4: Applications of Differentiation26 Questions
Exam 4: Section 5: Applications of Differentiation23 Questions
Exam 4: Section 6: Applications of Differentiation22 Questions
Exam 4: Section 7: Applications of Differentiation15 Questions
Exam 4: Section 8: Applications of Differentiation16 Questions
Exam 4: Section 1: Integration19 Questions
Exam 4: Section 2: Integration17 Questions
Exam 4: Section 3: Integration19 Questions
Exam 4: Section 4: Integration18 Questions
Exam 4: Section 5: Integration31 Questions
Exam 4: Section 6: Integration18 Questions
Exam 4: Section 7: Integration27 Questions
Exam 4: Section 8: Integration16 Questions
Exam 4: Section 9: Integration20 Questions
Exam 6: Section 1: Differential Equations19 Questions
Exam 6: Section 2: Differential Equations25 Questions
Exam 6: Section 3: Differential Equations12 Questions
Exam 6: Section 4: Differential Equations14 Questions
Exam 6: Section 5: Differential Equations17 Questions
Exam 7: Section 1: Applications of Integration18 Questions
Exam 7: Section 2: Applications of Integration18 Questions
Exam 7: Section 3: Applications of Integration17 Questions
Exam 7: Section 4: Applications of Integration18 Questions
Exam 7: Section 5: Applications of Integration16 Questions
Exam 7: Section 6: Applications of Integration19 Questions
Exam 7: Section 7: Applications of Integration15 Questions
Exam 8: Section 1: Integration Techniques, Lhôpitals Rule, and Improper Integrals15 Questions
Exam 8: Section 2: Integration Techniques, Lhôpitals Rule, and Improper Integrals18 Questions
Exam 8: Section 3: Integration Techniques, Lhôpitals Rule, and Improper Integrals20 Questions
Exam 8: Section 4: Integration Techniques, Lhôpitals Rule, and Improper Integrals19 Questions
Exam 8: Section 5: Integration Techniques, Lhôpitals Rule, and Improper Integrals14 Questions
Exam 8: Section 6: Integration Techniques, Lhôpitals Rule, and Improper Integrals15 Questions
Exam 8: Section 7: Integration Techniques, Lhôpitals Rule, and Improper Integrals18 Questions
Exam 8: Section 8: Integration Techniques, Lhôpitals Rule, and Improper Integrals15 Questions
Exam 9: Section 1: Infinite Series17 Questions
Exam 9: Section 2: Infinite Series23 Questions
Exam 9: Section 3: Infinite Series18 Questions
Exam 9: Section 4: Infinite Series21 Questions
Exam 9: Section 5: Infinite Series15 Questions
Exam 9: Section 6: Infinite Series21 Questions
Exam 9: Section 7: Infinite Series18 Questions
Exam 9: Section 8: Infinite Series18 Questions
Exam 9: Section 9: Infinite Series19 Questions
Exam 9: Section 10: Infinite Series16 Questions
Exam 10: Section 1: Conics, Parametric Equations, and Polar Coordinates26 Questions
Exam 10: Section 2: Conics, Parametric Equations, and Polar Coordinates17 Questions
Exam 10: Section 3: Conics, Parametric Equations, and Polar Coordinates22 Questions
Exam 10: Section 4: Conics, Parametric Equations, and Polar Coordinates15 Questions
Exam 10: Section 5: Conics, Parametric Equations, and Polar Coordinates18 Questions
Exam 10: Section 6: Conics, Parametric Equations, and Polar Coordinates19 Questions
Exam 11: Section 1: Vectors and the Geometry of Space20 Questions
Exam 11: Section 2: Vectors and the Geometry of Space21 Questions
Exam 11: Section 3: Vectors and the Geometry of Space18 Questions
Exam 11: Section 4: Vectors and the Geometry of Space18 Questions
Exam 11: Section 5: Vectors and the Geometry of Space21 Questions
Exam 11: Section 6: Vectors and the Geometry of Space20 Questions
Exam 11: Section 7: Vectors and the Geometry of Space19 Questions
Exam 12: Section 1: Vector-Valued Functions21 Questions
Exam 12: Section 2: Vector-Valued Functions24 Questions
Exam 12: Section 3: Vector-Valued Functions18 Questions
Exam 12: Section 4: Vector-Valued Functions20 Questions
Exam 12: Section 5: Vector-Valued Functions19 Questions
Exam 13: Section 1: Functions of Several Variables19 Questions
Exam 13: Section 2: Functions of Several Variables22 Questions
Exam 13: Section 3: Functions of Several Variables23 Questions
Exam 13: Section 4: Functions of Several Variables17 Questions
Exam 13: Section 6: Functions of Several Variables20 Questions
Exam 13: Section 7: Functions of Several Variables20 Questions
Exam 13: Section 8: Functions of Several Variables20 Questions
Exam 13: Section 9: Functions of Several Variables17 Questions
Exam 13: Section 10: Functions of Several Variables18 Questions
Exam 14: Section 1: Multiple Integration20 Questions
Exam 14: Section 2: Multiple Integration19 Questions
Exam 14: Section 3: Multiple Integration20 Questions
Exam 14: Section 4: Multiple Integration18 Questions
Exam 14: Section 5: Multiple Integration18 Questions
Exam 14: Section 6: Multiple Integration19 Questions
Exam 14: Section 7: Multiple Integration19 Questions
Exam 14: Section 8: Multiple Integration19 Questions
Exam 15: Section 1: Vector Analysis21 Questions
Exam 15: Section 2: Vector Analysis18 Questions
Exam 15: Section 3: Vector Analysis18 Questions
Exam 15: Section 4: Vector Analysis18 Questions
Exam 15: Section 5: Vector Analysis21 Questions
Exam 15: Section 6: Vector Analysis18 Questions
Exam 15: Section 7: Vector Analysis18 Questions
Exam 15: Section 8: Vector Analysis17 Questions
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, where 
, 
, and 
. Find 
.
Find 
using the appropriate Chain Rule for 
where 
and 
, and evaluate the partial derivative at 
and 
. Round your answer to two decimal places.
using the appropriate Chain Rule for where and , and evaluate the partial derivative at and . Round your answer to two decimal places.
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(Multiple Choice)
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(35) Correct Answer:
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VerifiedC
The two radii of the frustum of a right circular cone are increasing at a rate of 4 centimeters per minute, and the height is increasing at a rate of 12 centimeters per minute (see figure). Find the rate at which the volume is changing when the two radii are 15 centimeters and 30 centimeters, and the height is 10 centimeters. 
Free
(Multiple Choice)
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(36) Correct Answer:Verified
VerifiedB
Find 
using the appropriate Chain Rule for 
where 
and 
, and evaluate the partial derivative at 
and 
. Round your answer to two decimal places.
using the appropriate Chain Rule for where and , and evaluate the partial derivative at and . Round your answer to two decimal places. (Multiple Choice)
4.7/5 (35)
(35) The radius of a right circular cylinder is increasing at a rate of 9 inches per minute, and the height is decreasing at a rate of 7 inches per minute. What is the rate of change of the surface area when the radius is 12 inches and the height is 32 inches?
(Multiple Choice)
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(37) 
using the appropriate Chain Rule for 
where 
and 
.The radius of a right circular cylinder is increasing at a rate of 6 inches per minute, and the height is decreasing at a rate of 4 inches per minute. What is the rate of change of the volume when the radius is 14 inches and the height is 32 inches?
(Multiple Choice)
4.8/5 (24)
(24) 
, where 
and 
. Find 
.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. (Multiple Choice)
4.8/5 (25)
(25) Let 
be the angle between equal sides of an isosceles triangle and let x be the length of these sides. x is increasing at 
meter per hour and 
is increasing at 
radian per hour. Find the rate of increase of the area when 
and 
. Round your answer to three decimal places.
be the angle between equal sides of an isosceles triangle and let x be the length of these sides. x is increasing at meter per hour and is increasing at radian per hour. Find the rate of increase of the area when and . Round your answer to three decimal places. (Multiple Choice)
4.8/5 (30)
(30) 
using the appropriate Chain Rule for 
where 
and 
.
using the appropriate Chain Rule for 
where 
, and 
.
, given 
.
using the appropriate Chain Rule for 
where 
.
, where 
and 
. Find 
.
, given 
.The two radii of the frustum of a right circular cone are increasing at a rate of 7 centimeters per minute, and the height is increasing at a rate of 11 centimeters per minute (see figure). Find the rate at which the surface area is changing when the two radii are 16 centimeters and 26 centimeters, and the height is 13 centimeters. [Note: The surface area does not include the top and bottom circles.] Round your answer to two decimal places. ![The two radii of the frustum of a right circular cone are increasing at a rate of 7 centimeters per minute, and the height is increasing at a rate of 11 centimeters per minute (see figure). Find the rate at which the surface area is changing when the two radii are 16 centimeters and 26 centimeters, and the height is 13 centimeters. [Note: The surface area does not include the top and bottom circles.] Round your answer to two decimal places.](https://storage.examlex.com/TB4584/11eaa595_6313_bfae_a696_fb6f6081c68c_TB4584_00_TB4584_00.jpg)
(Multiple Choice)
4.9/5 (39)
(39) 
using the appropriate Chain Rule for 
where 
, and 
.
. 
Evaluate 
at 
using the appropriate Chain Rule for 
where 
and 
. Round your answer to two decimal places.
at using the appropriate Chain Rule for where and . Round your answer to two decimal places. (Multiple Choice)
4.8/5 (37)
(37) 
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