College Algebra & Trigonometry, 2018a

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4.9. OPTIMIZATION 241 7) A rectangle has one corner in the 1st quadrant on the graph of y =16− x 2 , one corner at the origin and the other two corners on the positive x axis and the positive y axis. 16 12 (0,y) 8 (x, y) 4 (0, 0) (x, 0) −5−4−3−2−1 1 2 3 4 5 −4 a) Express the area A of the rectangle as a function of x. b) For what value of x is the area largest? c) What is the maximum area?
242 CHAPTER 4. FUNCTIONS 8) A rectangle is inscribed in a semi-circle of radius 5 so that two corners are on the x axis and two corners are on the semi-circle. 6 y = √ 25 − x 2 4 2 −5−4−3−2−1 1 2 3 4 5 The formula for the graph of the semi-circle is y = √ 25 − x 2 . a) Express the area A of the rectangle as a function of x. b) For what value of x is the area largest? c) What is the maximum area?
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College Algebra & Trigonometry
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c○2018 Richard W. Beveridge This
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4 CONTENTS 2.4 Solution of Rational
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6 CONTENTS 8.2 The Trigonometric Ra
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8 CONTENTS
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88 CHAPTER 2. POLYNOMIAL AND RATION
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College Algebra & Trigonometry, 2018a

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