(1 point) Find a and b so that the function S 5x3 ах + b, - 2x2 + 8, f(x) = { x < -2, x > -2 is both continuous and differentiable.

Q: determine where the function is concave upward and where it is concave downward    g(x)= -X^2+7x+8

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Q: Evaluate Function  g(3,4) when g(x,y)=x-6y/x^2+y^2 a. -25/21 b. -5/21 c. -21/25 d. -21/5

A: For this problem, we have to substitute the values of x and y in given function g(x,y).

Q: A car's movement is represented by the function 2x3 + 6x2 + 2x + 3 in kilometers reco at an hourly…

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Q: find a so that the domain of the function f(x) = -5x +sqrt{a-x^2} is (-3,3) a. 3 b. 9 c. -9 d.…

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Q: State why the function 2z2 - 3z + e-z is analytic everywhere.

A: See the answer below

Q: Find f(0), f(-3), f(2x+3) for the function f(x)= -2x^2+x-1.

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Q: Express the rule "Subtract 11, then square" as the function f(x) = I.

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Q: Find the inflection points for the function f(x) = 2x6 + 3x5 – 10x*. -

A: Note :- Inflexian points of a function can be calculate by putting f"(x) =0 and solve for x.  We get…

Q: Let /(x) = 7 - 9x - 20. Find f(-3)

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Q: Find the domain of the function  F(X)= X^2+3

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Q: 1. f(x) = x2 + x – 1 for all values of x %3D

A: A detailed solution is given below

Q: Find the points of inflection of the function f(x)=x2lnx.

A: Inflection points are the points at which second derivative is zero. So differentiating f(x) with…