Calculus Solutions 23

Calculus Solutions 23 - A-22 Answers t o Odd-Numbered...

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A-22 Answers to Odd-Numbered Problems Section 12.4 Polar Coordinates and Planetary Motion (page 468) 9r$$+22g=O=Ld(r2$) 11~=.0004radians/sec;h=r2~=40,000 r dt 47r2 150 1017 kg 13 mR x a; torque 15T~/~(GM/~~)'/~ 17 4n2a3/T2G 19 (365~)2~24)1((3~0~2(6667~10011 23UseProbleml5 25a+c=&,a-c=- ,&, solve for C, D 27 Kepler measures area from focus (sun) 29 Line; x = 1 10 33 r = 20 - 2t, 0 = z,v = -2ur + (20 - 2t)gus; a = (2t - 20)(%)~u, - 4(%)us; So lvldt CHAPTER 13 PARTIAL DERIVATIVES Section 13.1 Surfaces and Level Curves (page 475) 3 x derivatives ca, -1, -2, -4e-4 (flattest) 5 Straight lines 7 Logarithm curves 9 Parabolas 11No: f = (x + y)" or (ax + by)" or any function of ax + by 13 f (x, y) = 1 - x2 - y2 15 Saddle 17 Ellipses 4x2 + y2 = c2 19Ellipses 5x2 + y2 = c2 + 4cx + x2 21 Straight lines not reaching (1,2) 23 Center (1,l); f = x2 + y2 - 1 25 Four, three, planes, spheres 27 Less than
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