6- The dimension of a solid rectangular at given instant ( to ) are (L = 13 cm) ,(W = 9 cm ) and ( H = 5 cm ). If (L) and ( H) are increasing at ( 2 cm/sec) and ( W) decreasing at ( 4 cm/sec ) %3D Find the rate of change of volume ( V) and surface aera ( S ) at time ( to ) ? Are ( V) and ( S) increasing, decreasing or neither ?

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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6- The dimension of a solid rectangular at given instant ( to ) are (L = 13 cm)
,(W = 9 cm ) and ( H = 5 cm ). If ( L) and ( H) are increasing at ( 2 cm/sec)
and ( W ) decreasing at ( 4 cm/sec)
Find the rate of change of volume ( V) and surface aera ( S) at time ( to ) ?
Are ( V) and ( S) increasing, decreasing or neither ?
7- The radius of the base and hight of a right circular cone at given instant
( to ) are (r = 20 cm ) and ( h = 30 cm ) respectively , If (h ) increasing at rate
of ( 2 cm/sec ) and (r) decreasing at rate of ( 1 cm/sec ). Find the rate of
change in volume ?
Transcribed Image Text:6- The dimension of a solid rectangular at given instant ( to ) are (L = 13 cm) ,(W = 9 cm ) and ( H = 5 cm ). If ( L) and ( H) are increasing at ( 2 cm/sec) and ( W ) decreasing at ( 4 cm/sec) Find the rate of change of volume ( V) and surface aera ( S) at time ( to ) ? Are ( V) and ( S) increasing, decreasing or neither ? 7- The radius of the base and hight of a right circular cone at given instant ( to ) are (r = 20 cm ) and ( h = 30 cm ) respectively , If (h ) increasing at rate of ( 2 cm/sec ) and (r) decreasing at rate of ( 1 cm/sec ). Find the rate of change in volume ?
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