In Exercises 19-22, find the quadratic function y = ax² + bx + c whose graph passes through the given points. 19. (-1, 6), (1,4), (2, 9) 20. (-2, 7), (1, –2), (2, 3) 21. (-1, -4), (1, –2), (2,5) 22. (1,3), (3, –1), (4,0)
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- How to Find the quadratic function f(x)= ax2+bx+c that goes through (3,0) and has a local maximum at (0,1)?4.6 optimization #27 a truck is 250 miles east of a sports car and is traveling west at a constant speed of 60 mi/hr. meanwhile the sportscar is going North at 80 mil/hr. when will the truck and car be closed to each other? what is the minimum distance between them? HINT: minimize the square root of the distance.Find a quadratic function f (x) = ax2 + bx + c which has a vertex at (1, 1) and passes through (3, −3).
- #7. Find a general form of an equation of the line through the point A thatsatisfies the given condition14.7, 4 Find the maximum and minimum values as well.7. 1. Pick a point where that is not on any of the lines: 2. find the equation of a quadratic function with the chosen point as the vertex. X=0 Y=0 Y=x Y=-x
- Determine ? such that ?′′(?) = 12? − 1 and 1 is both a critical number and a y- intercept of ?.Find the quadratic function f (x) = ax2 + bx + c that goes through (0, 1) and has a local minimum at (1,-1).In Exercises 15–22, calculate the approximation for the given function and interval. 15. R3, f(x)=7−x, [3,5]
- Determine a quadratic function in vertex form given that it has avertex at (3, 2) and a y‐intercept of 8.7 a) Differentiate the multi target mode where D =0, showing that it can’t be used for low dose b) mathematically explain whether the linear quadratic model is ideal model for high doses or low dose7. Use Lagrange multipliers to give an alternate solution. Find two positive numbers whose product is 100 and whose sum is a minimum.