Find the rate of change of the distance D between the origin and a moving point on the graph ofy =x+4 if =2 centimeters per second. dD 4x+18x %3D dt V+9x² +16 dD 4x-18x B. dt V+9x² +16 dD 2x3-10x %3D dt x+9x2+16 dD 2x+18x dt x++8x²+16 dD 4x+10x dt x*+4x2 +16

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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Find the rate of change of the distance D between the origin and a moving point on the graph ofy =x+4 if
dx
=2 centimeters
dt
per second.
dD
4x3 +18x
dt
++9x² +16
dD
4x3-18x
B
dt
+9x2+ 16
dD
2x3-10x
%3D
dt
x+9x2+ 16
dD
2x3 +18x
dt
4+8x2+16
4x +10x
x*+4x2+16
dD
%3D
dt
Transcribed Image Text:Find the rate of change of the distance D between the origin and a moving point on the graph ofy =x+4 if dx =2 centimeters dt per second. dD 4x3 +18x dt ++9x² +16 dD 4x3-18x B dt +9x2+ 16 dD 2x3-10x %3D dt x+9x2+ 16 dD 2x3 +18x dt 4+8x2+16 4x +10x x*+4x2+16 dD %3D dt
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