Answered: B) Let s(t) = -t“. 0

Math

Calculus

B) Let s(t) = -t“. 0

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.CR: Review Exercises

Problem 40CR: For T:P5P3 and nullity(T)=4, find rank(T).

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Question

Please provide the solution to the question. Please show the steps so I can understand them. Thanks.

B) Let s(t) = -t“.
0<t< 60.
10t3 + 100t be the position of an object moving horizontally at time t for
(a) Find the derivative of s(t) with respect to t. i.e. find s'(t). (You can use derivative
rules to find this derivative function. You DO NOT need to use the limit definition.)
(b) Find the values of t that make the derivative equal to zero. Hint: factor!
(c) At what times is the object moving forward? At what times is the object moving
backward? Hint: use your factored form from part (b).

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