Question: 08Determinei.Concavity of parabolaIts y interceptsFinii.iii.The co-ordinate vertexiv.Sketch parabolaRepresent the quadric functionFinax?f(x) =210x- -

we are given a quadratic equation f(x)=x22-10x

Answered: Question: 08 Determine i. Concavity of…

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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The sketch shows a circle, a parabola, which is the graph of f, and a straight line, which is the graph of g. The parabola has zintercepts -2 and 6, and y-intercept 6. Its turning point is C. The circle has its centre at the origin and it passes through the point A, which has coordinates (-2,0). At point B both the circle and the straight line cut the z-axis. The straight line has y-intercept 1. 0 B Find the equation that defines f. Show that C has coordinates (2,8). What is the distance between A and C? Find the midpoint D of AC: Write down the equation of the circle that has AC as diameter. Find the maximum vertical distance between the graphs of f and g on the interval a [0, 6].
3
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Question: 08 Determine i. Concavity of parabola ii. Its y intercepts iii. The co-ordinate vertex iv. Sketch parabola Represent the quadric function x2 10x 2 f(x) =