6. Sketch a possible graph of a quadratic function, whose discriminant is 0 and its graph opensdownwards.10:2F2#320F354$F4%5F5MacBook Pro635&7F7xFB(DD)F10O91

The given problem is to sketch the possible graph of a quadratic equation, whose discriminate is 0…

Answered: 6. Sketch a possible graph of a…

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 following table shows the crude steel production in the USA, in millions of metric tons. Year Crude Steel Production 1980 0 1985 5 1989 9 80 90 92 (A) Find a quadratic function f(x) = ax²+bx+c that fits the data, where x represents the number of years after 1980. f(x)= x² +2.833x + 80.
A penny is thrown from the top of a 48.9-meter building and hits the ground 3.04 seconds after it was thrown. The penny reached its maximum height above the ground 0.79 seconds after it was thrown. Define a quadratic function, h, that expresses the height of the penny above the ground (measured in meters) as a function of the number of seconds elapsed since the penny was thrown, t. What is the maximum height of the penny above the ground?
7. (a) Find the vertex of the quadratic function S(x) = 2x² – 8r (b) Sketch the graph of the quadratic function. f(x) = 2x² – 8x -2 2 -2 -4- --6 -8 10
3. The profit of a certain cellphone manufacturer can be represented by the function p(x) = -2000x² + 12000x + 126000 where p is the profit in dollars and a is the production level in thousands of units. How many units should be produced to maximize profit? What is the maximum profit?

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6. Sketch a possible graph of a quadratic function, whose discriminant is 0 and its graph opens downwards.