Answered: solar oven is to be made from an open…

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter9: Polynomial And Rational Functions

Section9.4: Graphing Polynomial Functions

Problem 43PS

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A solar oven is to be made from an open box with reflective sides. Each box is made from a 30 in by 18 in rectangular sheet of aluminum with squares of length x (in inches) removed from each corner. Then the flaps are folded up to form an open box.

(a) Show that the volume of the box is given by

V(x)=4x^3-96x2+540x for 0<x9

(b) Graph the function from part (a) and use the "Maximum" feature on a graphing utility to approximate the length of the sides of the squares that should be removed to maximize the volume. Round to the nearest tenth of an inch.

The length of the sides of the squares that should be removed to maximize the volume is approximately _____in.

The maximum volume is _____in^3.

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