a. Explanation Given: The width w of the rectangle is decreasing at the rate 3 inches per second and the height h is increasing at the rate 3 inches per second. The initial width and height of the rectangle are 100 inches and 75 inches respectively. Formulaused: The area of a rectangle of width w and height h is given by A = w × h . Since, w and h are function of time so the area A . Calculation: The area of the rectangle is A ( t ) = w ( t ) × h ( t ) ............ (1) Differentiating result (1) with respect to‘ t’ d A d t = w × d h d t + d w d t × h ............ (2) The width of rectangle decreasing at the rate 3 inches per seconds, i.e., d w d t =- 3 inches per second and the height is increasing at the rate 3 inches per second, i b. To determine The interval of width and the height of the rectangle and on what time interval the problem makes the sense. c. To determine To find: In terms of width ( w ) and height ( h ) of the rectangle when the area is increasing and when decreasing.

14th Edition

ISBN: 9781464151088

Author: Associate Professor Laura Taalman, Peter Kohn

Publisher: W.H. Freeman & Company

See similar textbooks

Concept explainers

Exponential Growth Model

The relation that represents an exponential function is:

Videos

Question

Chapter 3.5, Problem 58A

To determine

To find:The rate of change of area of rectangle in terms of its width and height.

To determine

The interval of width and the height of the rectangle and on what time interval the problem makes the sense.

To determine

To find: In terms of width ( w ) and height ( h ) of the rectangle when the area is increasing and when decreasing.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 3.5, Problem 57A

Chapter 3.5, Problem 59A

Students have asked these similar questions

Find the tangent line approximation 7 to the graph of f at the given point. T(x) = f(x) = csc(x), (8, csc(8)) Complete the table. (Round your answers to four decimal places.) x f(x) T(x) 7.9 7.99 8 8.01 8.1

Can you solve it numerical method

Use the information to find and compare Ay and dy. (Round your answers to four decimal places.) Function x-Value Differential of x Ду = dy = y = x² + 2 x = -4 Ax = dx = 0.01

Chapter 3 Solutions

Calculus Combo

Ch. 3.1 - Prob. 1TB Ch. 3.1 - Prob. 0C Ch. 3.1 - Prob. 1C Ch. 3.1 - Prob. 2C Ch. 3.1 - Prob. 3C Ch. 3.1 - Prob. 4C Ch. 3.1 - Prob. 5C Ch. 3.1 - Prob. 6C Ch. 3.1 - Prob. 7C Ch. 3.1 - Prob. 8C

Ch. 3.1 - Prob. 9C Ch. 3.1 - Prob. 10C Ch. 3.1 - Prob. 11C Ch. 3.1 - Prob. 12C Ch. 3.1 - Prob. 13C Ch. 3.1 - Prob. 14C Ch. 3.1 - Prob. 15C Ch. 3.1 - Prob. 16C Ch. 3.1 - Prob. 17C Ch. 3.1 - Prob. 18C Ch. 3.1 - Prob. 19C Ch. 3.1 - Prob. 20C Ch. 3.1 - Prob. 21C Ch. 3.1 - Prob. 22C Ch. 3.1 - Prob. 23S Ch. 3.1 - Prob. 24S Ch. 3.1 - Prob. 25S Ch. 3.1 - Prob. 26S Ch. 3.1 - Prob. 27S Ch. 3.1 - Prob. 28S Ch. 3.1 - Prob. 29S Ch. 3.1 - Prob. 30S Ch. 3.1 - Prob. 31S Ch. 3.1 - Prob. 32S Ch. 3.1 - Prob. 33S Ch. 3.1 - Prob. 34S Ch. 3.1 - Prob. 35S Ch. 3.1 - Prob. 36S Ch. 3.1 - Prob. 37S Ch. 3.1 - Prob. 38S Ch. 3.1 - Prob. 39S Ch. 3.1 - Prob. 40S Ch. 3.1 - Prob. 41S Ch. 3.1 - Prob. 42S Ch. 3.1 - Prob. 43S Ch. 3.1 - Prob. 44S Ch. 3.1 - Prob. 45S Ch. 3.1 - Prob. 46S Ch. 3.1 - Prob. 47S Ch. 3.1 - Prob. 48S Ch. 3.1 - Prob. 49S Ch. 3.1 - Prob. 50S Ch. 3.1 - Prob. 51S Ch. 3.1 - Prob. 52S Ch. 3.1 - Prob. 53S Ch. 3.1 - Prob. 54S Ch. 3.1 - Prob. 55S Ch. 3.1 - Prob. 56S Ch. 3.1 - Prob. 57S Ch. 3.1 - Prob. 58S Ch. 3.1 - Prob. 59S Ch. 3.1 - Prob. 60S Ch. 3.1 - Prob. 61A Ch. 3.1 - Prob. 62A Ch. 3.1 - Prob. 63A Ch. 3.1 - Prob. 64P Ch. 3.1 - Prob. 65P Ch. 3.1 - Prob. 66P Ch. 3.1 - Prob. 67P Ch. 3.1 - Prob. 68P Ch. 3.1 - Prob. 69P Ch. 3.1 - Prob. 1TF Ch. 3.1 - Prob. 2TF Ch. 3.1 - Prob. 3TF Ch. 3.1 - Prob. 4TF Ch. 3.1 - Prob. 5TF Ch. 3.1 - Prob. 6TF Ch. 3.1 - Prob. 7TF Ch. 3.1 - Prob. 8TF Ch. 3.2 - Prob. 1TB Ch. 3.2 - Prob. 2TB Ch. 3.2 - Prob. 3TB Ch. 3.2 - Prob. 0C Ch. 3.2 - Prob. 1C Ch. 3.2 - Prob. 2C Ch. 3.2 - Prob. 3C Ch. 3.2 - Prob. 4C Ch. 3.2 - Prob. 5C Ch. 3.2 - Prob. 6C Ch. 3.2 - Prob. 7C Ch. 3.2 - Prob. 8C Ch. 3.2 - Prob. 9C Ch. 3.2 - Prob. 10C Ch. 3.2 - Prob. 11C Ch. 3.2 - Prob. 12C Ch. 3.2 - Prob. 13C Ch. 3.2 - Prob. 14C Ch. 3.2 - Prob. 15C Ch. 3.2 - Prob. 16C Ch. 3.2 - Prob. 17C Ch. 3.2 - Prob. 18C Ch. 3.2 - Prob. 19S Ch. 3.2 - Prob. 20S Ch. 3.2 - Prob. 21S Ch. 3.2 - Prob. 22S Ch. 3.2 - Prob. 23S Ch. 3.2 - Prob. 24S Ch. 3.2 - Prob. 25S Ch. 3.2 - Prob. 26S Ch. 3.2 - Prob. 27S Ch. 3.2 - Prob. 28S Ch. 3.2 - Prob. 29S Ch. 3.2 - Prob. 30S Ch. 3.2 - Prob. 31S Ch. 3.2 - Prob. 32S Ch. 3.2 - Prob. 33S Ch. 3.2 - Prob. 34S Ch. 3.2 - Prob. 35S Ch. 3.2 - Prob. 36S Ch. 3.2 - Prob. 37S Ch. 3.2 - Prob. 38S Ch. 3.2 - Prob. 39S Ch. 3.2 - Prob. 40S Ch. 3.2 - Prob. 41S Ch. 3.2 - Prob. 42S Ch. 3.2 - Prob. 43S Ch. 3.2 - Prob. 44S Ch. 3.2 - Prob. 45S Ch. 3.2 - Prob. 46S Ch. 3.2 - Prob. 47S Ch. 3.2 - Prob. 48S Ch. 3.2 - Prob. 49S Ch. 3.2 - Prob. 50S Ch. 3.2 - Prob. 51S Ch. 3.2 - Prob. 52S Ch. 3.2 - Prob. 53S Ch. 3.2 - Prob. 54S Ch. 3.2 - Prob. 55S Ch. 3.2 - Prob. 56S Ch. 3.2 - Prob. 57S Ch. 3.2 - Prob. 58S Ch. 3.2 - Prob. 59S Ch. 3.2 - Prob. 60S Ch. 3.2 - Prob. 61S Ch. 3.2 - Prob. 62S Ch. 3.2 - Prob. 63S Ch. 3.2 - Prob. 64S Ch. 3.2 - Prob. 65S Ch. 3.2 - Prob. 66S Ch. 3.2 - Prob. 67S Ch. 3.2 - Prob. 68S Ch. 3.2 - Prob. 69S Ch. 3.2 - Prob. 70S Ch. 3.2 - Prob. 71S Ch. 3.2 - Prob. 72S Ch. 3.2 - Prob. 73S Ch. 3.2 - Prob. 74S Ch. 3.2 - Prob. 75S Ch. 3.2 - Prob. 76S Ch. 3.2 - Prob. 77S Ch. 3.2 - Prob. 78S Ch. 3.2 - Prob. 79S Ch. 3.2 - Prob. 80S Ch. 3.2 - Prob. 81S Ch. 3.2 - Prob. 82S Ch. 3.2 - Prob. 83A Ch. 3.2 - Prob. 84A Ch. 3.2 - Prob. 85A Ch. 3.2 - Prob. 86A Ch. 3.2 - Prob. 87P Ch. 3.2 - Prob. 88P Ch. 3.2 - Prob. 89P Ch. 3.2 - Prob. 90P Ch. 3.2 - Prob. 91P Ch. 3.2 - Prob. 92P Ch. 3.2 - Prob. 1TF Ch. 3.2 - Prob. 2TF Ch. 3.3 - Prob. 1TB Ch. 3.3 - Prob. 2TB Ch. 3.3 - Prob. 0C Ch. 3.3 - Prob. 1C Ch. 3.3 - Prob. 2C Ch. 3.3 - Prob. 3C Ch. 3.3 - Prob. 4C Ch. 3.3 - Prob. 5C Ch. 3.3 - Prob. 6C Ch. 3.3 - Prob. 7C Ch. 3.3 - Prob. 8C Ch. 3.3 - Prob. 9C Ch. 3.3 - Prob. 10C Ch. 3.3 - Prob. 11C Ch. 3.3 - Prob. 12C Ch. 3.3 - Prob. 13C Ch. 3.3 - Prob. 14C Ch. 3.3 - Prob. 15C Ch. 3.3 - Prob. 16C Ch. 3.3 - Prob. 17C Ch. 3.3 - Prob. 18C Ch. 3.3 - Prob. 19C Ch. 3.3 - Prob. 20C Ch. 3.3 - Prob. 21S Ch. 3.3 - Prob. 22S Ch. 3.3 - Prob. 23S Ch. 3.3 - Prob. 24S Ch. 3.3 - Prob. 25S Ch. 3.3 - Prob. 26S Ch. 3.3 - Prob. 27S Ch. 3.3 - Prob. 28S Ch. 3.3 - Prob. 29S Ch. 3.3 - Prob. 30S Ch. 3.3 - Prob. 31S Ch. 3.3 - Prob. 32S Ch. 3.3 - Prob. 33S Ch. 3.3 - Prob. 34S Ch. 3.3 - Prob. 35S Ch. 3.3 - Prob. 36S Ch. 3.3 - Prob. 37S Ch. 3.3 - Prob. 38S Ch. 3.3 - Prob. 39S Ch. 3.3 - Prob. 40S Ch. 3.3 - Prob. 41S Ch. 3.3 - Prob. 42S Ch. 3.3 - Prob. 43S Ch. 3.3 - Prob. 44S Ch. 3.3 - Prob. 45S Ch. 3.3 - Prob. 46S Ch. 3.3 - Prob. 47S Ch. 3.3 - Prob. 48S Ch. 3.3 - Prob. 49S Ch. 3.3 - Prob. 50S Ch. 3.3 - Prob. 51S Ch. 3.3 - Prob. 52S Ch. 3.3 - Prob. 53S Ch. 3.3 - Prob. 54S Ch. 3.3 - Prob. 55S Ch. 3.3 - Prob. 56S Ch. 3.3 - Prob. 57S Ch. 3.3 - Prob. 58S Ch. 3.3 - Prob. 59S Ch. 3.3 - Prob. 60S Ch. 3.3 - Prob. 61S Ch. 3.3 - Prob. 62S Ch. 3.3 - Prob. 63S Ch. 3.3 - Prob. 64S Ch. 3.3 - Prob. 65S Ch. 3.3 - Prob. 66S Ch. 3.3 - Prob. 67S Ch. 3.3 - Prob. 68S Ch. 3.3 - Prob. 69S Ch. 3.3 - Prob. 70S Ch. 3.3 - Prob. 71S Ch. 3.3 - Prob. 72S Ch. 3.3 - Prob. 73S Ch. 3.3 - Prob. 74S Ch. 3.3 - Prob. 75S Ch. 3.3 - Prob. 76S Ch. 3.3 - Prob. 77S Ch. 3.3 - Prob. 78S Ch. 3.3 - Prob. 79S Ch. 3.3 - Prob. 80S Ch. 3.3 - Prob. 81S Ch. 3.3 - Prob. 82S Ch. 3.3 - Prob. 83S Ch. 3.3 - Prob. 84S Ch. 3.3 - Prob. 85S Ch. 3.3 - Prob. 86S Ch. 3.3 - Prob. 87A Ch. 3.3 - Prob. 88A Ch. 3.3 - Prob. 89A Ch. 3.3 - Prob. 90A Ch. 3.3 - Prob. 91P Ch. 3.3 - Prob. 92P Ch. 3.3 - Prob. 93P Ch. 3.3 - Prob. 94P Ch. 3.3 - Prob. 95P Ch. 3.3 - Prob. 1TF Ch. 3.3 - Prob. 2TF Ch. 3.4 - Prob. 1TB Ch. 3.4 - Prob. 2TB Ch. 3.4 - Prob. 0C Ch. 3.4 - Prob. 1C Ch. 3.4 - Prob. 2C Ch. 3.4 - Prob. 3C Ch. 3.4 - Prob. 4C Ch. 3.4 - Prob. 5C Ch. 3.4 - Prob. 6C Ch. 3.4 - Prob. 7C Ch. 3.4 - Prob. 8C Ch. 3.4 - Prob. 9C Ch. 3.4 - Prob. 10C Ch. 3.4 - Prob. 11S Ch. 3.4 - Prob. 12S Ch. 3.4 - Prob. 13S Ch. 3.4 - Prob. 14S Ch. 3.4 - Prob. 15S Ch. 3.4 - Prob. 16S Ch. 3.4 - Prob. 17S Ch. 3.4 - Prob. 18S Ch. 3.4 - Prob. 19S Ch. 3.4 - Prob. 20S Ch. 3.4 - Prob. 21S Ch. 3.4 - Prob. 22S Ch. 3.4 - Prob. 23S Ch. 3.4 - Prob. 24S Ch. 3.4 - Prob. 25S Ch. 3.4 - Prob. 26S Ch. 3.4 - Prob. 27S Ch. 3.4 - Prob. 28S Ch. 3.4 - Prob. 29S Ch. 3.4 - Prob. 30S Ch. 3.4 - Prob. 31S Ch. 3.4 - Prob. 32S Ch. 3.4 - Prob. 33S Ch. 3.4 - Prob. 34S Ch. 3.4 - Prob. 35A Ch. 3.4 - Prob. 36A Ch. 3.4 - Prob. 37A Ch. 3.4 - Prob. 38A Ch. 3.4 - Prob. 39A Ch. 3.4 - Prob. 40A Ch. 3.4 - Prob. 41A Ch. 3.4 - Prob. 42A Ch. 3.4 - Prob. 43A Ch. 3.4 - Prob. 44A Ch. 3.4 - Prob. 45A Ch. 3.4 - Prob. 46A Ch. 3.4 - Prob. 47A Ch. 3.4 - Prob. 48A Ch. 3.4 - Prob. 49A Ch. 3.4 - Prob. 50A Ch. 3.4 - Prob. 51A Ch. 3.4 - Prob. 52A Ch. 3.4 - Prob. 53A Ch. 3.4 - Prob. 54A Ch. 3.4 - Prob. 55A Ch. 3.4 - Prob. 56A Ch. 3.4 - Prob. 57A Ch. 3.4 - Prob. 58A Ch. 3.4 - Prob. 59A Ch. 3.4 - Prob. 60A Ch. 3.4 - Prob. 61A Ch. 3.4 - Prob. 62A Ch. 3.4 - Prob. 63P Ch. 3.4 - Prob. 64P Ch. 3.4 - Prob. 1TF Ch. 3.4 - Prob. 2TF Ch. 3.4 - Prob. 3TF Ch. 3.4 - Prob. 4TF Ch. 3.4 - Prob. 5TF Ch. 3.5 - Prob. 1TB Ch. 3.5 - Prob. 2TB Ch. 3.5 - Prob. 0C Ch. 3.5 - Prob. 1C Ch. 3.5 - Prob. 2C Ch. 3.5 - Prob. 3C Ch. 3.5 - Prob. 4C Ch. 3.5 - Prob. 5C Ch. 3.5 - Prob. 6C Ch. 3.5 - Prob. 7C Ch. 3.5 - Prob. 8C Ch. 3.5 - Prob. 9C Ch. 3.5 - Prob. 10C Ch. 3.5 - Prob. 11C Ch. 3.5 - Prob. 12C Ch. 3.5 - Prob. 13C Ch. 3.5 - Prob. 14C Ch. 3.5 - Prob. 15C Ch. 3.5 - Prob. 16C Ch. 3.5 - Prob. 17C Ch. 3.5 - Prob. 18C Ch. 3.5 - Prob. 19S Ch. 3.5 - Prob. 20S Ch. 3.5 - Prob. 21S Ch. 3.5 - Prob. 22S Ch. 3.5 - Prob. 23S Ch. 3.5 - Prob. 24S Ch. 3.5 - Prob. 25S Ch. 3.5 - Prob. 26S Ch. 3.5 - Prob. 27S Ch. 3.5 - Prob. 28S Ch. 3.5 - Prob. 29S Ch. 3.5 - Prob. 30S Ch. 3.5 - Prob. 31S Ch. 3.5 - Prob. 32S Ch. 3.5 - Prob. 33S Ch. 3.5 - Prob. 34S Ch. 3.5 - Prob. 35S Ch. 3.5 - Prob. 36S Ch. 3.5 - Prob. 37A Ch. 3.5 - Prob. 38A Ch. 3.5 - Prob. 39A Ch. 3.5 - Prob. 40A Ch. 3.5 - Prob. 41A Ch. 3.5 - Prob. 42A Ch. 3.5 - Prob. 43A Ch. 3.5 - Prob. 44A Ch. 3.5 - Prob. 45A Ch. 3.5 - Prob. 46A Ch. 3.5 - Prob. 47A Ch. 3.5 - Prob. 48A Ch. 3.5 - Prob. 49A Ch. 3.5 - Prob. 50A Ch. 3.5 - Prob. 51A Ch. 3.5 - Prob. 52A Ch. 3.5 - Prob. 53A Ch. 3.5 - Prob. 54A Ch. 3.5 - Prob. 55A Ch. 3.5 - Prob. 56A Ch. 3.5 - Prob. 57A Ch. 3.5 - Prob. 58A Ch. 3.5 - Prob. 59A Ch. 3.5 - Prob. 60A Ch. 3.5 - Prob. 61A Ch. 3.5 - Prob. 62P Ch. 3.5 - Prob. 63P Ch. 3.5 - Prob. 64P Ch. 3.5 - Prob. 65P Ch. 3.5 - Prob. 1TF Ch. 3.5 - Prob. 2TF Ch. 3.5 - Prob. 3TF Ch. 3.5 - Prob. 4TF Ch. 3.6 - Prob. 1TB Ch. 3.6 - Prob. 2TB Ch. 3.6 - Prob. 0C Ch. 3.6 - Prob. 1C Ch. 3.6 - Prob. 2C Ch. 3.6 - Prob. 3C Ch. 3.6 - Prob. 4C Ch. 3.6 - Prob. 5C Ch. 3.6 - Prob. 6C Ch. 3.6 - Prob. 7C Ch. 3.6 - Prob. 8C Ch. 3.6 - Prob. 9C Ch. 3.6 - Prob. 10C Ch. 3.6 - Prob. 11C Ch. 3.6 - Prob. 12C Ch. 3.6 - Prob. 13C Ch. 3.6 - Prob. 14C Ch. 3.6 - Prob. 15S Ch. 3.6 - Prob. 16S Ch. 3.6 - Prob. 17S Ch. 3.6 - Prob. 18S Ch. 3.6 - Prob. 19S Ch. 3.6 - Prob. 20S Ch. 3.6 - Prob. 21S Ch. 3.6 - Prob. 22S Ch. 3.6 - Prob. 23S Ch. 3.6 - Prob. 24S Ch. 3.6 - Prob. 25S Ch. 3.6 - Prob. 26S Ch. 3.6 - Prob. 27S Ch. 3.6 - Prob. 28S Ch. 3.6 - Prob. 29S Ch. 3.6 - Prob. 30S Ch. 3.6 - Prob. 31S Ch. 3.6 - Prob. 32S Ch. 3.6 - Prob. 33S Ch. 3.6 - Prob. 34S Ch. 3.6 - Prob. 35S Ch. 3.6 - Prob. 36S Ch. 3.6 - Prob. 37S Ch. 3.6 - Prob. 38S Ch. 3.6 - Prob. 39S Ch. 3.6 - Prob. 40S Ch. 3.6 - Prob. 41S Ch. 3.6 - Prob. 42S Ch. 3.6 - Prob. 43S Ch. 3.6 - Prob. 44S Ch. 3.6 - Prob. 45S Ch. 3.6 - Prob. 46S Ch. 3.6 - Prob. 47S Ch. 3.6 - Prob. 48S Ch. 3.6 - Prob. 49S Ch. 3.6 - Prob. 50S Ch. 3.6 - Prob. 51S Ch. 3.6 - Prob. 52S Ch. 3.6 - Prob. 53S Ch. 3.6 - Prob. 54S Ch. 3.6 - Prob. 55S Ch. 3.6 - Prob. 56S Ch. 3.6 - Prob. 57S Ch. 3.6 - Prob. 58S Ch. 3.6 - Prob. 59S Ch. 3.6 - Prob. 60S Ch. 3.6 - Prob. 61S Ch. 3.6 - Prob. 62S Ch. 3.6 - Prob. 63S Ch. 3.6 - Prob. 64S Ch. 3.6 - Prob. 65S Ch. 3.6 - Prob. 66S Ch. 3.6 - Prob. 67S Ch. 3.6 - Prob. 68S Ch. 3.6 - Prob. 69S Ch. 3.6 - Prob. 70S Ch. 3.6 - Prob. 71S Ch. 3.6 - Prob. 72S Ch. 3.6 - Prob. 73S Ch. 3.6 - Prob. 74S Ch. 3.6 - Prob. 75S Ch. 3.6 - Prob. 76S Ch. 3.6 - Prob. 77S Ch. 3.6 - Prob. 78S Ch. 3.6 - Prob. 79S Ch. 3.6 - Prob. 80S Ch. 3.6 - Prob. 81S Ch. 3.6 - Prob. 82S Ch. 3.6 - Prob. 83S Ch. 3.6 - Prob. 84S Ch. 3.6 - Prob. 85S Ch. 3.6 - Prob. 86S Ch. 3.6 - Prob. 87A Ch. 3.6 - Prob. 88A Ch. 3.6 - Prob. 89A Ch. 3.6 - Prob. 90P Ch. 3.6 - Prob. 91P Ch. 3.6 - Prob. 92P Ch. 3.6 - Prob. 93P Ch. 3.6 - Prob. 94P Ch. 3.6 - Prob. 95P Ch. 3.6 - Prob. 1TF Ch. 3.6 - Prob. 2TF Ch. 3.6 - Prob. 3TF Ch. 3.6 - Prob. 4TF Ch. 3 - Prob. 1D Ch. 3 - Prob. 2D Ch. 3 - Prob. 3D Ch. 3 - Prob. 4D Ch. 3 - Prob. 5D Ch. 3 - Prob. 6D Ch. 3 - Prob. 1T Ch. 3 - Prob. 2T Ch. 3 - Prob. 3T Ch. 3 - Prob. 4T Ch. 3 - Prob. 5T Ch. 3 - Prob. 6T Ch. 3 - Prob. 7T Ch. 3 - Prob. 8T Ch. 3 - Prob. 9T Ch. 3 - Prob. 10T Ch. 3 - Prob. 11T Ch. 3 - Prob. 12T Ch. 3 - Prob. 13T Ch. 3 - Prob. 14T Ch. 3 - Prob. 1GFT Ch. 3 - Prob. 2GFT Ch. 3 - Prob. 3GFT Ch. 3 - Prob. 4GFT Ch. 3 - Prob. 5GFT Ch. 3 - Prob. 6GFT Ch. 3 - Prob. 7GFT Ch. 3 - Prob. 8GFT Ch. 3 - Prob. 9GFT Ch. 3 - Prob. 1SC Ch. 3 - Prob. 2SC Ch. 3 - Prob. 3SC Ch. 3 - Prob. 4SC Ch. 3 - Prob. 5SC Ch. 3 - Prob. 6SC Ch. 3 - Prob. 7SC Ch. 3 - Prob. 8SC Ch. 3 - Prob. 9SC Ch. 3 - Prob. 10SC Ch. 3 - Prob. 11SC Ch. 3 - Prob. 12SC Ch. 3 - Prob. 13SC Ch. 3 - Prob. 14SC Ch. 3 - Prob. 15SC Ch. 3 - Prob. 16SC Ch. 3 - Prob. 17SC Ch. 3 - Prob. 18SC Ch. 3 - Prob. 19SC Ch. 3 - Prob. 20SC Ch. 3 - Prob. 21SC Ch. 3 - Prob. 22SC Ch. 3 - Prob. 23SC Ch. 3 - Prob. 24SC Ch. 3 - Prob. 25SC Ch. 3 - Prob. 26SC Ch. 3 - Prob. 27SC Ch. 3 - Prob. 28SC Ch. 3 - Prob. 29SC Ch. 3 - Prob. 30SC Ch. 3 - Prob. 31SC Ch. 3 - Prob. 32SC Ch. 3 - Prob. ACP Ch. 3 - Prob. BCP Ch. 3 - Prob. CCP Ch. 3 - Prob. DCP

Knowledge Booster

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

The rate of change of area of rectangle in terms of its width and height.

Solution Summary: The author calculates the rate of change of area of a rectangle in terms of its width and height.

Concept explainers

Videos

To find:The rate of change of area of rectangle in terms of its width and height.

The interval of width and the height of the rectangle and on what time interval the problem makes the sense.

To find: In terms of width ( w ) and height ( h ) of the rectangle when the area is increasing and when decreasing.

Want to see the full answer?

Chapter 3 Solutions