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Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550

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BuyFindarrow_forward

Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550
Textbook Problem

A particle moves in a velocity field V(x, y) = ⟨x2, x + y2. If it is at position (2, 1) at time t = 3, estimate its location at time t = 3.01.

To determine

To estimate: The location of particle that moves in a velocity field.

Explanation

Given data:

V(x,y)=x2,x+y2 , position (2,1) at t=3

The original time is shifted from 3 to 3.01 .

Find the value of shifted time.

shifted time=3.013=0.01

Consider the velocity field V(x,y) .

V(x,y)=x2,x+y2 (1)

Substitute 2 for x and 1 for y ,

V(x,y)=22,2+12=4,3

Modify equation (1) as follows.

V(x,y)=shiftedtimex2,x+y2

Substitute 0

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Chapter 16 Solutions

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