a. Average Velocity Problem: An object moves with velocity v(t) = sin ( t/6). Find the

Chapter 10, Problem R3

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a. Average Velocity Problem: An object moves with velocity v(t) = sin ( t/6). Find the average velocity on the time interval i. [0, 3] ii. [3, 9] iii. [0, 12 b. Average Value Problem: For the function f(x) = 6x2 x3,i. Find the average value of f(x) on theinterval between the two x-intercepts.ii. Sketch a graph showing the graphicalsignificance of this average value.iii. Show that the average value is not equal tothe average of the two values of f(x) at theendpoints of the interval.

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