College Algebra & Trigonometry, 2018a

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4.9. OPTIMIZATION 253 B x 50 km 50 − x C D 40 km A If we express the distance between B and C as x, then the distance between C and D will be 50 − x. The distance travelled in the desert is the distance from A to C and this is found using the Pythagorean Theorem. AC = √ 40 2 + x 2 = √ x 2 + 1600 Since d = r ∗ t, then the time it takes travel a given distance will be d r = t. In the case of this problem the time to travel from A to C is: t 1 = √ x2 + 1600 45 The time to travel from C to D is: t 2 = 50 − x 75 So, the total travel time will be: t = t 1 + t 2 = x2 + 1600 45 + 50 − x 75
254 CHAPTER 4. FUNCTIONS The graph of this function is below: 1.5 1 (30, 1.37) 0.5 10 20 30 40 It is hard to see, but there is a minimum for the graph where x =30and t =1.37.
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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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140 CHAPTER 3. EXPONENTS AND LOGARI
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190 CHAPTER 4. FUNCTIONS by substit
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192 CHAPTER 4. FUNCTIONS 4.2 Domain
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194 CHAPTER 4. FUNCTIONS Exercises
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196 CHAPTER 4. FUNCTIONS 8) 12 10 8
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198 CHAPTER 4. FUNCTIONS We can use
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200 CHAPTER 4. FUNCTIONS 3) 20 16 1
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308 CHAPTER 7. COMBINATORICS Exampl
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College Algebra & Trigonometry, 2018a

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