Find the average value of y = 4t3 + 6t2 over [?3, ?1].
What will be an ideal response?
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Solve the problem.Find the inflection points (if any) on the graph of the function and the coordinates of the points on the graph where the function has a local maximum or local minimum value. Then graph the function in a region large enough to show all these points simultaneously. Add to your picture the graphs of the function's first and second derivatives.y = x3 - 15x2
What will be an ideal response?
Find the points on the curve 
where the tangent is horizontal.
a. (–3, 100), (2, –25) b. (–3, 88), (4, 39) c. (–4, 71), (4, 39) d. (–4, 71) , (2, –37) e. (–3, 37), (2, –37)
Decide whether the equation defines y as a function of x.y = x2 + 5
A. function B. not a function
Form a polynomial f(x) with real coefficients having the given degree and zeros.Degree 3: zeros: 1 + i and -5
A. f(x) = x3 + 3x2 + 10x - 8 B. f(x) = x3 -5x2 - 8x - 12 C. f(x) = x3 + x2 - 8x + 10 D. f(x) = x3 + 3x2 - 8x + 10