Calculus Solutions 22

Calculus Solutions 22 - Answers t o Odd-Numbered Problems 7...

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Answers to Odd-Numbered Problems 7 R = (1,2,4) + (4,3,O)t; R = (1,2,4) + (8,6,O)t; R = (5,5,4) + (8,6,O)t 9 R= (2+t,3,4-t);R= (2+ $,3,4- $); the same line Line; y= 2+2t,z= 2+3t;y= 2+4t,z = 2+6t Line;t/m=7;(6,3,2);linesegment 15$;l;$ IIx=t,y=mt+b v = i - &j,IvI = ~W,T = v/lvl;v = (cost - tsint)i + (sint +tcost)j; Ivl = dm; R = -sint i+ cost j + any &; same R plus any wt v = (1 - sin t)i + (1 - cos t)j; Ivl= 43 - 2 sin t - 2 cos t, Ivlmin = drfi, IVI~. . = dcfi; a = -cost i+sintj,lal = 1; center is on x = t,y = t Leaves at (9, $);v = (-&,&);a = (9, $) + v(t - P) R = cos li + sin ij + lk fi fi \/z v = sec2t i+secttantj;Ivl = sec2tm;a = 2sec2ttanti+ (sec3t+secttan2t) j; curve is y2 - x2 = 1; hyperbola has asymptote y = x If T = v then lvl = 1; line R = ti or helix in Problem 27 - (240) 0 5 t 5 3 (3 - 2t, 1) 1 5 t 5 q (x(t)3 - (1,2t - 1) 3 5 t 5 1 (0,4 - 2t) q 5 t 5 2 ~(t)=4cosi,~(t)=4sini 37F;F;T;T;F
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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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