College Algebra & Trigonometry, 2018a

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4.9. OPTIMIZATION 239 y = x 2 − 4 ≈ 2.546 2 − 4 ≈ 6.482 − 4 ≈ 2.482 So the answer for Part 2 is that (2.546, 2.482) is closest point on the curve y = x 2 −4 to the point (5, 2). 3) We already determined the distance when we found the minimum point on the distance graph. The distance is about 2.501 units.
240 CHAPTER 4. FUNCTIONS Exercises 4.9(a) 1) Given the function f(x) =4− x 2 , find x and y coordinates of the point on the curve that is closest to the point (7, 3). How far away from the point (7, 3) is the point you found? 2) Given the function f(x) =6− x 2 , find x and y coordinates of the point on the curve that is closest to the point (1, 1). How far away from the point (1, 1) is the point you found? 3) Given the function f(x) =x 2 +2x − 5, find x and y coordinates of the point on the curve that is closest to the point (−2, 5). How far away from the point (−2, 5) is the point you found? 4) Given the function f(x) =x 2 − 5x +8, find x and y coordinates of the point on the curve that is closest to the point (−2, 2). How far away from the point (−2, 2) is the point you found? 5) Given the function f(x) =x 3 − 4x 2 +2x +1, find x and y coordinates of the point on the curve that is closest to the point (2, 1). How far away from the point (2, 1) is the point you found? 6) Given the function f(x) =2x 3 − 5x − 1, find x and y coordinates of the point on the curve that is closest to the point (−2, 8). How far away from the point (−2, 8) is the point you found?
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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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10 CHAPTER 1. ALGEBRA REVIEW Exampl
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88 CHAPTER 2. POLYNOMIAL AND RATION
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100 CHAPTER 2. POLYNOMIAL AND RATIO
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College Algebra & Trigonometry, 2018a

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