5. How how many points of intersection are possible in a system consisting of a line anda parabola?a. Make rough sketches for a system of an arbitrary parabola and a line for 3 cases:i. A maximum of two intersection points (2 real solutions)ii. Just one intersection point (1 distinct real solution)iii. No intersection points (no real solution)b. Solve the following system of a parabola and a line by any algebraic method:[Note: Summarize the solution with a solution set of ordered pairs.]y= 3x+1x² - 5x+ y= 0c. How many solutions are there in the system of part b) above?

a) we make sketch in each case for intersection of parabola and a line: i) Maximum two points of…

5. How how many points of intersection are possible in a system consisting of a line an a parabola? a. Make rough sketches for a system of an arbitrary parabola and a line for 3 cases: i. A maximum of two intersection points (2 real solutions) ii. Just one intersection point (1 distinct real solution)

5. How how many points of intersection are possible in a system consisting of a line an a parabola? a. Make rough sketches for a system of an arbitrary parabola and a line for 3 cases: i. A maximum of two intersection points (2 real solutions) ii. Just one intersection point (1 distinct real solution)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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