Calculus Online Textbook Answer Problems - MIT …

A- 0 Answers t o Odd-Numbered Problems CHAPTER 1 INTRODUCTION TO Calculus . Section Velocity and Distance (page 6). 2for 0 < t < 10 0 for 0 < t < T. 1v = 30,0, -30;v = -10,20 3 v(t) = 1for 10 < t < 20 v(t) = for T < t < 2T. -3for 20 < t < 30 0 for 2 T < t < 3T. 5 25; 22; t + 10 7 6; -30 9 v(t) = { 20for t < .2. Ofor t > .2. 20t for t 5 .2. 11 10%; l2$%. 8 for O < t < T for 0 5 t T. 2 9 Slope -2; 1 5 f 5 9 3 1 v(t) =. -2 for T < t < 5 T lt) = { lOT - 2t 8t for T 5 t _( ST. 47 %v;;V 4 9 input * input -+ A input * input A B * B -+ C. -+ input + I + A. input +A --+output input +A B--+B C +. output--+ A * A -+ B. A +B output + 1,6t - 2,6t - 1,-3t --+. 6 1 3 t + 5,3t - 1,9t - 4; slopes 3,3,6,6,-3,9. Section Calculus Without Limits (page 14). + +. 1 2 5 3 = 10; f = 1,3,8,11;10 3 f = 3,4,6,7,7,6; max f at v = 0 or at break from v = 1 to -1.}}

Answers to Odd-Numbered Problems A-1 19 4 from speed, 4 from angle 21 from radius times 4 from angle gives 1in velocity 23 Slope i; average (1 -$)/(r/6) = = .256 25 Clockwise with radius 1from (1,0), speed 3 27 Clockwise with radius 5 from (0,5), speed 10 29 Counterclockwise with radius 1from (cos 1, sin I), speed 1 31Left and right from (1,O) to (-1,0), u= -sin t 33 Up and …

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