Estimate the area under the graph of f(x) = 0.5x2 + 1 over [0, 6] and n = 6

Estimate the area under the graph of �(�)=�+4 over the interval [-4,-2] using eight approximating rectangles and midpoints.

A rectangular photograph measuring 77 cm by 66 cm is to be displayed in a card mount in a rectangular frame as shown below, with a border of constant width x cm. The owner wants the area of the mount (including the photo) to be 73cm^2.   Find the width x of the border.The border should be ... cm wide (round your answer to three decimal places).