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a rectangle has a fixed area of 100 units^2 and its length l is increasing at 2 unit/sec. find the length l at the instant the width is decreasing at .5 units/sec. ap calc related rates

Respuesta :

The width at the instant the width is decreasing at .5 units/sec is increasing 5 units per/sec.

How to find change in length or width?

  • The rate at which a function changes in relation to a variable Calculus and differential equations issues must be solved using derivatives.

Given:

Area of triangle = 100 units²

Area of triangle = Length * Width

Length * Width = 100

dl / st = 2 unit/sec

a) Find length

when dw/dt = -0.5 unit/sec

l * w = -0.5

l dw/dt + w dl/dt = 0

100/w (-0.5) + w(2) = 0

(- 50+ 2w²) / w = 0

2w² = 50

w² = 25

w = 5

Hence, the width at the instant the width is decreasing at .5 units/sec is increasing 5 units per sec.

To know more about width check the below link:

https://brainly.com/question/25292087

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