What is the average value of the function f(x) = 3x^2 in the interval [1,4] ?

Q: Find the average rate of change of the function f(x)=x^3over the interval [1,1+h]. Simplify your…

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Q: The reciprocal squared function f(x)=1/x^2 shifted to the right 2 units.

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Q: Determine the interval(s) for which f(x)=96x^2-x^4  is concave up.

A: Given function is: fx=96x2-x4 Differentiating we get, f'x=ddx96x2-x4f'x=962x-4x3f'x=192x-4x3

Q: Graph the function f(x)=-5x^2-6  On [0,4] And find the average value over the interval

A: We have to find average value

Q: how is v^t calculated

A: In the calculation of actuarial present value of a pension that pays $50,000 per year as long as at…