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Unformatted text preview: k = f + g · g ; give its domain in interval notation. Write a simpliﬁed formula for the function k = ( f + g ) ◦ h ; give its domain in interval notation. 4. A rectangle is fashioned so that its area and perimeter have the same numeric value. Write the length ‘ of the rectangle as a function of the width w . What is the only square that behaves this way? 5. Suppose a company wants to manufacture a gutter by taking piece of metal of width w = 2 ft, and bending it as into an isosceles trapezoid with length b = 1 for the smaller base as shown. Express the crosssectional area as a function of the angle θ . For fun, experiment with a calculator to try to decide what θ maximizes the crosssectional area....
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 Spring '08
 ALL
 Calculus

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