college Calculus problem 7

label Mathematics
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i am stuck on the following problem. here is a pic of the problem

http://imgur.com/b7GEiim

please include all work/steps in the answer

thanks in advance

Oct 19th, 2017

T(t) - -0.1t^2 + 1.2t + 98.6      (1)

a) T' (t) = -0.1 *2 *t + 1.2        (2)

            = -0.2t + 1.2

b) T(1.5) = -0.1 * (1.5) ^2 + 1.2 * (1.5) + 98.6      using (1)

               = -0.225 + 1.8 + 98.6

               = 100.175

c) T' (1.5) = -0.2 (1.5) + 1.2

                  = -0,3 + 1.2

                  =0.9

Jan 25th, 2015

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