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![Find the domain of f(g(x)) iff(x) =
(Α)
B)
(C)
D
[2, 5) U (5, ∞]
(2,27) U (27, ∞ )
[2,27) U (27, ∞ )
(-∞, 2) U (5, ∞]
=_=_³andg(x)=√x−2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70bdc864-5753-447c-b896-de223596a416%2F20a20c05-80a8-4943-ba54-e26670d09934%2F021njgv_processed.png&w=3840&q=75)
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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)?1. How do you find the linearization of f(x) at x = a? Illustrate with a concrete example2. Give an example showing that, even if f0(c) = 0, it could happen that f(x) does not have a localmaximum or minimum at x = c. How is this consistent with Fermat’s Theorem in the book?
- Find all the critical points of the function f(x)=5x^6+12x^5-60x^4+56 . Use the First and/or Second Derivative Test to determine whether each critical point is a local maximum, a local minimum, or neither. You may use either test, or both, but you must show your use of the test(s). You do not need to identify any global extrema.Find the absolute maximum and minimum values of f on the triangle with vertices (0,0), (3,0), and (3,6). f(x,y) = 2y - xy + 3xFind absolute maximum and minimum points, if they exist, of f(x)=x^3+x^2-X+1 on the interval [-2,1/2]. Need to show work to find all critical points in the interval