A shipping container in the shape of a rectangular prism must have a volume of 25,000 cubic feet. The client twos the manufacturer that, because of the contents, the length of the container must be 10 feet longer than twice the width w, and the height must be 5 feet greater than the width

(a) compute the maclaurin polynomial m2(x) for f(x) = cos x. (b) use the polynomial of part (a) to estimate cos π 12. (c) use a calculator to compute the error made using the estimate from part (b) for the value of cos π 12. remember that the error is defined to be the absolute value of the difference between the true value and the estimate.

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 – 10x +2?

What effect would doubling all the dimensions of a triangular pyramid have on the volume of the pyramid? explain your reasoning.