An arch has the shape of the parabola y = 4 – x2. A rectangle is fit under the arch by selecting a point (x, y) on the parabola.
(a) Express the area A of the rectangle in terms of x.
(b) If x = 1, the rectangle has base 2 and height 3. Find the base of a second rectangle that has the same area.

Question

An arch has the shape of the parabola y = 4 – x2. A rectangle is fit under the arch by selecting a point (x, y) on the parabola.
(a) Express the area A of the rectangle in terms of x.
(b) If x = 1, the rectangle has base 2 and height 3. Find the base of a second rectangle that has the same area.

goformit100 · Answer

"Welcome to OpenStudy. I can guide regarding this useful site; ask your doubts from me, for it you can message me. Please use the chat for off topic questions. And remember to give the helper a medal, by clicking on "Best Answer". We follow a code of conduct, ( http://openstudy.com/code-of-conduct ). Please take a moment to read it."