Multivariable Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 0-53849-787-4
ISBN 13: 978-0-53849-787-9

Chapter 10 - Parametric Equations and Polar Coordinates - 10.1 Exercises - Page 665: 5


a) Check graph. As t increases, x and y get smaller. b) $y=(\frac{3}{4})x-(\frac{1}{4})$

Work Step by Step

a) x = 3 - 4t y = 2 - 3t When, t= -3 x=15 y=11 t= -2 x=11 y=8 t= -1 x=7 y=5 t= 0 x=3 y=2 t= 1 x=-1 y=-1 t= 2 x=-5 y=-4 t= 3 x=-9 y=-7 b) $x=3-4t$ $x-3=-4t$ $(x-3)\div(-4)=t$ $y=2-3t$ $y=2-3((x-3)\div(-4))$ $y=2-((3x-9)\div(-4))$ $y=2+((3x-9)\div(4))$ $y=(8\div4)+(3x-9)\div(4)$ $y=(8+3x-9)\div(4)$ $y=(3x-1)\div(4)$ $y=(3x\div(4))-(1\div(4))$ $y=(\frac{3}{4})x-(\frac{1}{4})$
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