A "swoosh" region is bounded by two quadratic polynomials. [Look up the Nike logo if you're confused.] (a) Write a system of equations to solve for the two polynomials if they both go through the points (0, 2) and (3,6), one of them goes through the point (1,0) and the other one goes through the point (1,1). (b) Solve the system, and you may use Wolfram Alpha only for row reduction. What are the two quadratic polynomials?

Advanced Engineering Mathematics
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9. A "swoosh" region is bounded by two quadratic polynomials. [Look up the Nike logo if you're confused.]
(a) Write a system of equations to solve for the two polynomials if they both go through the points (0, 2)
and (3,6), one of them goes through the point (1, 0) and the other one goes through the point (1, 1).
(b) Solve the system, and you may use Wolfram Alpha only for row reduction. What are the two quadratic
polynomials?
Transcribed Image Text:9. A "swoosh" region is bounded by two quadratic polynomials. [Look up the Nike logo if you're confused.] (a) Write a system of equations to solve for the two polynomials if they both go through the points (0, 2) and (3,6), one of them goes through the point (1, 0) and the other one goes through the point (1, 1). (b) Solve the system, and you may use Wolfram Alpha only for row reduction. What are the two quadratic polynomials?
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