The length { of a rectangle is decreasing at a rate of 8 cm / sec while the width w is increasing at a rate of 8 cm / sec. When{ =4 cm and w=3 cm, find the rates of change of the area, the perimeter, and the lengths of the diagonals of the rectangle.Determine which of these quantities are increasing, decreasing, or constant.The rate of change of the area of the rectangle is cm? / sec.(Simplify your answer.)Is the area increasing, decreasing, or constant?O A. IncreasingO B. DecreasingO C. ConstantThe rate of change of the perimeter of the rectangle is 0 cm/ sec.(Simplify your answer.)Is the perimeter increasing, decreasing, or constant?A. ConstantB. DecreasingC. IncreasingThe rate of change of the length of the diagonals of the rectangle iscm/ sec.(Type a simplified fraction.)Is the length of the diagonals increasing, decreasing, or constant?O AConstantPlick to select vour answer(s)

Name: The length { of a rectangle is decreasing at a rate of 8 cm / sec whi
Uploaded: 2024-03-20T06:46:42.000Z
Channel: Bartleby
Description: The length { of a rectangle is decreasing at a rate of 8 cm / sec while the width w is increasing at a rate of 8 cm / sec. When{ =4 cm and w=3 cm, find the rates of change of the area, the perimeter, and the lengths of the diagonals of the rectangle

Answered: Image /qna-images/answer/2b5d6240-09e7-438d-87ca-6055aa827dbf.jpg

Math

Calculus

The length { of a rectangle is decreasing at a rate of 8 cm/ sec while the width w is increasing at a rate of 8 cm/ sec. When { =4 cm and w= 3 cm, find the rates of change of the area, the perimeter, and the lengths of the diagonals of the rectangle. Determine which of these quantities are increasing, decreasing, or constant. Th (S Is

The length { of a rectangle is decreasing at a rate of 8 cm/ sec while the width w is increasing at a rate of 8 cm/ sec. When { =4 cm and w= 3 cm, find the rates of change of the area, the perimeter, and the lengths of the diagonals of the rectangle. Determine which of these quantities are increasing, decreasing, or constant. Th (S Is

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 16EQ

See similar textbooks

Similar questions

Can the average rate of change of a function be constant?
If you travel 100 miles in two hours, then your average speed for the trip is Average speed=_________=________
Find the rate of change of the arts of a rectangle at the moment when it’s sides are 40 meters and 10 meters, if the length of the first side is decreasing at a constant rate of 1 meter per hour and the other side is decreasing at a constant rate of 1/5 meters per hour.
the length of a rectangle is increasing at a rate of 2 feet per minute, and its width is decreasing at a rate of 1 foot per minute. Find rate of change of its area when the length is 11 feet and the width is 5 feet. inculde units
The radius of a cylinder is decreasing at a constant rate of 10 inches er minute, and the volume is decreasing at a rate of 4698 cubic inches per minute. At the instant when the height of the cylinder is 5 inches and the volume is 1175 cubic inches what is the rate of change of the height?
Each of two sides of a triangle are increasing at the rate of 1⁄2 foot per second, and the included angle is decreasing 2O per second. Find the rate of change of the area when the sides and included angle are respectively 5 feet, 8 feet, and 60O.
The length of a rectangle is increasing at the rate of 4 cm/sec, while the width is increasing at the rate of 3 cm/sec. When the length equals to 20 and the width equals to 15, find the rates of change of 1) the area of the rectangle 2)lengths of the diagonal of the rectangle
One base of a trapezoid is decreasing at a rate of 888 kilometers per second and the height of the trapezoid is increasing at a rate of 555 kilometers per second. The other base of the trapezoid is fixed at 444 kilometers. At a certain instant, the decreasing base is 121212 kilometers and the height is 222 kilometers. What is the rate of change of the area of the trapezoid at that instant (in square kilometers per second)?
A helicopter flies parallel to the ground at an altitude of 1/2 kilometer and at a speed of 2 kilometers per minute. If the helicopter passes directly over the White House, at what rate is the distance between the helicopter and the White House changing 2 minutes after the helicopter flies over the White House?2 minutes after the helicopter passes over the White House, its distance from the White House is changing at a rate of ________ kilometers per minute.
The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the triangle is increasing at a rate of 5 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 10 centimeters and the area is 95 square centimeters?
2. The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm2/min. At what rate is the base of the triangle changing when the altitude is 10 cm and the area is 100 cm2?
The height of a triangle is increasing at a rate of 2 cm/min while the area of the triangle is increasing at a rate of 4 cm2/min. At what rate is the base of the triangle changing when the altitude is 10 cm and the area is 100 cm2?