Calculus Solutions 7

Calculus Solutions 7 - A-6 Answers to Odd-Numbered Problems...

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A-6 Answers to Odd-Numbered Problems Section 4.2 Implicit Differentiation and Related Rates (page 163) I -xn-l/yn-l 3 2 4 52=1 7 (y2 - 2xy)/(x2 - 2xy) or 1 1 F'(v) g&or~i;l 11 First 2 = - E, second 2 = j 13 Faster, faster 15 222' = 2yyt -+ 2' = E y' = y' sin6 21$=-g.*= 17 sec2 0 = IS~OO~;~OOJ~ 3,dt -2fi;oothenO 23 V=Tr2h.dh = -- I dV - in/sec 25 A = iabsin 9, % = 7 27 1.6 m/sec; 9 m/sec; 12.8 m/sec 9 dt 4r dt LCOs2~&.gu= & 29 -g 31 d"- a&.&- ' ,, y" - &j cos3O~inB(y')~ - 2 dt 1 - 10 Section 4.3 Inverse Functions and Their Derivatives (page 170) (x unrestricted -, no inverse) 11 y = , 1 13 2 < f-'(x) < 3 15 f goes up and down f (x)g(x)and & 19 m # 0; m 2 Iml > 1 21 $ = 5x4, 2 = iy-4/5 2 -1 & = -=1_ & - = 3x2. dz = $(I+ y)-2/3 ' dY
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This document was uploaded on 11/02/2011 for the course MAC 2311 at University of Florida.

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