MATH 102 Study Guide - Midterm Guide: Maxima And Minima

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mauvelouse230

21 Nov 2012

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$MATH 102 Full Course Notes$

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Mathematics 102 section 106 october 9, 2009: a cart travels along a track. From t = 0 seconds to t = 4 seconds, the position of the cart. 3 t3 3t3 + 7 in metres. What is the average rate of change of the. The velocity is v(t) = s0(t) = 5 average rate of change of the acceleration over the interval [0, 4] is a(4) a(0) The acceleration is a(t) = s00(t) = 5t3 16t m/s2. 4 0 s = 64 m/s3: let c be the curve y = 4x3 + 7x2 3 and l be the tangent line to c at x = 0. Let f(x) = 4x3 + 7x2 3, so f0(x) = 12x2 + 14x. Note that f0(0) = 0, so the slope of l is 0. We nd that f(0) = 4(0)3 + 7(0)2 3 = 3 so l goes through the point (0, 3).

Related Questions

the function s=-t^3+6t^2-12t, 0<=t<=5, gives the position of a body moving on a coordinate line, with s in meters and t in seconds.

a. find the bodys displacement and average velocity for the given time interval

b. find the bodys speed and acceleration at the endpoints of the interval

c. when, if ever, during the interval does the body change direction?

what is the bodys displacement fo the given time interval? ? m

what is the average velocity for the given time interval? ? m/s

what is the bodys speed at t=0? ? m/s

what is the bodys speed at t=5? ? m/s

what is the bodys acceleration at t=0? ? m/s^2

what is the bodyys acceleration at t=5? ? m/s^2

when, if ever, during the interval does the body change direction? select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. t=? sec

b. there is no solution

This is for math 254. thanks for ur help!