Question 5 The side length of a square is decreasing at a rate of 5 kilometers per hour. At a certain instant, the side length is 8 kilometers. What is the rate of change of the area of the square at that instant (in square kilometers per hour)? Question 6 The side of a cube is increasing at a rate of S millimeters per minute. At the instant the side is 13 millimeters, the rate of change of the volume of the cube is cubic millimeters per minute. Round your answer to the nearest integer.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Question 5**

The side length of a square is decreasing at a rate of 5 kilometers per hour. At a certain instant, the side length is 8 kilometers. What is the rate of change of the area of the square at that instant (in square kilometers per hour)?

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**Question 6**

The side of a cube is increasing at a rate of 5 millimeters per minute. At the instant the side is 13 millimeters, the rate of change of the volume of the cube is ___ cubic millimeters per minute. Round your answer to the nearest integer.

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**Question 7**

The base of a triangle is decreasing at a rate of 12 millimeters per minute and the height of the triangle is increasing at a rate of 6 millimeters per minute. At an instant when the base is 5 millimeters and the height is 1 millimeter, the rate of change of the... (question cutoff in image)
Transcribed Image Text:**Question 5** The side length of a square is decreasing at a rate of 5 kilometers per hour. At a certain instant, the side length is 8 kilometers. What is the rate of change of the area of the square at that instant (in square kilometers per hour)? --- **Question 6** The side of a cube is increasing at a rate of 5 millimeters per minute. At the instant the side is 13 millimeters, the rate of change of the volume of the cube is ___ cubic millimeters per minute. Round your answer to the nearest integer. --- **Question 7** The base of a triangle is decreasing at a rate of 12 millimeters per minute and the height of the triangle is increasing at a rate of 6 millimeters per minute. At an instant when the base is 5 millimeters and the height is 1 millimeter, the rate of change of the... (question cutoff in image)
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