HW1 - A(1 4 and B(7-2 2 2.1#8 The displacement(in...

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M408C, Homework 1 Insturctor: Guoliang Wu Due: Wednesday, September 1 1 Reading assignment Please read Chapter 1 and Appendices A–E, by the end of next week. 2 Problems on Quest Please visit Quest , click on “Get Started”, log on with your UT EID, and answer the questions online. If you have any questions regarding Quest, please let me know. The deadline for this part is Wednesday 4PM. After that the system will not allow you to do the homework. 3 Problems from textbook You need to turn in your answers to the questions in this part at the beginning of the discussion section on Thursday (9 / 2) . Explain your work! Correct answers alone are not enough. 1. (Appendix C #59) Find an equation of the perpendicular bisector of theline segment joining the points
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Unformatted text preview: A (1 , 4) and B (7 ,-2). 2. ( § 2.1#8) The displacement (in centimeters) of a particle moving back and forth along a stright line is given by the equation of motion s = 2 sin( π t ) + 3 cos( π t ), where t is measured in seconds. (a) Find the average velocity during each time period: (i) [1,2] (ii) [1,1.1] (iii) [1, 1.01] (iv) [1, 1.001] (b) Estimate the instantaneous velocity of the particle when t = 1. 3. ( § 2.2#20)Guessthevalueofthelimit(ifitexists)byevaluatingthefunction at the given numbers x = 17 , x = 16 . 5 , x = 16 . 1 , x = 16 . 05 , x = 15 , x = 15 . 5 , x = 15 . 9 , x = 15 . 95 , x = 15 . 99 (correct to six decimal places). lim x → 16 √ x-4 x-16 . 1...
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