Compute the exact value of the function for the given x-value without using a calculator. Show your work for full credit. (2 points) f(x) = 7^x for x = 2

You will get 25 points an image of a rectangular prism is shown below: part a: a cross section of the prism is cut with a plane parallel to the base. what is the name of the shape created by the cross section? explain your answer. (5 points) part b: if a cross section of the prism is cut perpendicular to the base, what would be the shape of the resulting cross section? explain your answer. (5 points)

In the given figure ar(adf) =ar(cda) and ar(cdf) = ar(cdf). show that abdc and cdfe are trapeziums.

Find the maximum value of p= 4x + 5y subject to the following constraints :