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# River Bend Problem: A river meanders back and forth across Route 66. Three crossings are ISBN: 9781559533911 468

## Solution for problem 9 Chapter 15-3

Precalculus with Trigonometry: Concepts and Applications | 1st Edition

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Problem 9

River Bend Problem: A river meanders back and forth across Route 66. Three crossings are 1.7 mi, 3.8 mi, and 5.5 mi east of the intersection of Route 66 and Farm Road 13, or FM 13 (Figure 15-3f). Figure 15-3f a. Use the sum and product of the zeros properties to find quickly an equation of the cubic function y = x3 + bx2 + cx + d that has 1.7, 3.8, and 5.5 as zeros. What is the y-intercept? b. Let f(x) be the number of miles north of Route 66 for a point on the river that is x miles east of FM 13. Suppose that the river crosses FM 13 at a point 4.1 miles north of the intersection. What negative vertical dilation of the equation in part a would give a cubic function with the correct f(x)-intercept as well as the correct x-intercepts? Write the particular equation for f(x). c. Plot function f. Sketch the result. What is the graphical significance of the fact that the leading coefficient is negative? d. Based on the cubic model, what is the farthest south of Route 66 that the river goes between the 1.7-mile crossing and the 3.8-mile crossing? What is the farthest north of Route 66 that the river goes between the 3.8-mile crossing and the 5.5-mile crossing? How far east of the 5.5-mile crossing would you have to go for the river to be 10 miles south of Route 66?

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##### ISBN: 9781559533911

This full solution covers the following key subjects: . This expansive textbook survival guide covers 106 chapters, and 2321 solutions. Since the solution to 9 from 15-3 chapter was answered, more than 234 students have viewed the full step-by-step answer. The answer to “River Bend Problem: A river meanders back and forth across Route 66. Three crossings are 1.7 mi, 3.8 mi, and 5.5 mi east of the intersection of Route 66 and Farm Road 13, or FM 13 (Figure 15-3f). Figure 15-3f a. Use the sum and product of the zeros properties to find quickly an equation of the cubic function y = x3 + bx2 + cx + d that has 1.7, 3.8, and 5.5 as zeros. What is the y-intercept? b. Let f(x) be the number of miles north of Route 66 for a point on the river that is x miles east of FM 13. Suppose that the river crosses FM 13 at a point 4.1 miles north of the intersection. What negative vertical dilation of the equation in part a would give a cubic function with the correct f(x)-intercept as well as the correct x-intercepts? Write the particular equation for f(x). c. Plot function f. Sketch the result. What is the graphical significance of the fact that the leading coefficient is negative? d. Based on the cubic model, what is the farthest south of Route 66 that the river goes between the 1.7-mile crossing and the 3.8-mile crossing? What is the farthest north of Route 66 that the river goes between the 3.8-mile crossing and the 5.5-mile crossing? How far east of the 5.5-mile crossing would you have to go for the river to be 10 miles south of Route 66?” is broken down into a number of easy to follow steps, and 243 words. This textbook survival guide was created for the textbook: Precalculus with Trigonometry: Concepts and Applications, edition: 1. The full step-by-step solution to problem: 9 from chapter: 15-3 was answered by , our top Calculus solution expert on 03/16/18, 04:16PM. Precalculus with Trigonometry: Concepts and Applications was written by and is associated to the ISBN: 9781559533911.

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