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9. (a) A region is bounded by two lines and a quadratic polynomial with the following conditions: . The first line has a y-intercept of 4. The second line has a y-intercept of 2. • The two lines intersect at x = 2. • The quadratic goes through the point (3,0) and its derivative is 0 there. • The quadratic intersects the first line when x = 4, and the second line when x = 0. Write a system of linear equations to find the coefficients of the two lines and the quadratic, and put it in matrix form. You do NOT need to solve the system!

9. (a) A region is bounded by two lines and a quadratic polynomial with the following conditions: . The first line has a y-intercept of 4. The second line has a y-intercept of 2. • The two lines intersect at x = 2. • The quadratic goes through the point (3,0) and its derivative is 0 there. • The quadratic intersects the first line when x = 4, and the second line when x = 0. Write a system of linear equations to find the coefficients of the two lines and the quadratic, and put it in matrix form. You do NOT need to solve the system!

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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9. (a) A region is bounded by two lines and a quadratic polynomial with the following conditions: The first line has a y-intercept of 4. The second line has a y-intercept of 2. The two lines intersect at x = 2. Write a system of linear equations to find the coefficients of the two lines and the quadratic, and put it in matrix form. You do NOT need to solve the system! (b) Describe the solution (s) for each of the following already row-reduced matrices: 100 0 010 5 001 -1 i. The quadratic goes through the point (3,0) and its derivative is 0 there. The quadratic intersects the first line when x = 4, and the second line when x = 0. ii. iii. [88] 0 10 01 00 0 0 3 -2
Transcribed Image Text:9. (a) A region is bounded by two lines and a quadratic polynomial with the following conditions: The first line has a y-intercept of 4. The second line has a y-intercept of 2. The two lines intersect at x = 2. Write a system of linear equations to find the coefficients of the two lines and the quadratic, and put it in matrix form. You do NOT need to solve the system! (b) Describe the solution (s) for each of the following already row-reduced matrices: 100 0 010 5 001 -1 i. The quadratic goes through the point (3,0) and its derivative is 0 there. The quadratic intersects the first line when x = 4, and the second line when x = 0. ii. iii. [88] 0 10 01 00 0 0 3 -2
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