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Calculus Solutions 1

Calculus Solutions 1 - Answers t o Odd-Numbered Problems A...

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A- 0 Answers to Odd-Numbered Problems CHAPTER 1 INTRODUCTION TO CALCULUS Section 1.1 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 2T < t < 3T 20for t < .2 20t for t 5 .2 5 25; 22; t + 10 7 6; -30 9 v(t) = { Ofor t > .2 1110%; l2\$% 29 Slope -2; 1 5 f 5 9 31 v(t) = 8 for O<t<T 8t for 0 5 t T -2 for T<t<5T lt) = { lOT - 2t for T 5 t _( ST 47 %v; ;V 49 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 61 3t+ 5,3t + 1,6t - 2,6t - 1,-3t - 1,9t - 4; slopes 3,3,6,6,-3,9 Section 1.2 Calculus Without Limits (page 14) 12 + 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 = 1to -1 5 1.1,-2,s; f (6) = 6.6, -11,4; f (7) = 7.7, -l3,9 7 f (t) = 2t for t 5 5,10 + 3(t - 5) for t 2 5; f (10) = 25 9 7, 28, 8t + 4; multiply slopes 11f (8) = 8.8, -15,14;
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