Find the value of a such that the function S(«) = {** -1, x < 3 x 2 3 | f(x) = 2ах, is continuous at every x.

Q: Find f g and g of, where f (x) = x^2 + 1 and g(x) =3x + 2, are functions from R to R.

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Q: *The interval [a, b] for a function x^3 - 4 x- - ...... 9 = 0 is [2,3] O [0, 2] O [0, 1] O [1, 2] O

A: We need to find the interval for a function f(x)=x3-4x-9=0

Q: c) Suppose a function f admits the following Maclaurin series near 0 x2 f(x) 8. 24 .. n2n n=1

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A: To find an example of a function                                   f : [-2, 2]→R which is not…

Q: Let f(x) = (x – 8)² + 4, æ > 8. Determine f-'(x). f-'(x) = ||

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Q: Find c so that f is continuous at every point f(x) = 5x+12c, if x < -5 f(x) = (cx^2)+1, if x ≥ -5

A: Given- fx=5x+12c if x&lt;-5cx2+1   if x≥-5 To find- The value of c that  the above function is…

Q: Prove that the following function is continuous on the interval [-5,5]: H(x)= the square root of…

A: Given, H(x)=25-x2we have to prove that the given function is continous on the interval[-5,5]…

Q: Determine the values of x for which f (x)=x",x >0 is increasing or decreasing.

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Q: Which of the following are generally NOT true, for any given function f:X-->Y and subsets A and B of…

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Q: Use the graph of f(x) to find the interval where f''(x) > 0. Ⓡ 3- 2- 1- ms -5 -4 -3 -2 -1 1 3 4 5 A.…

A: Here we have given the curve of f(x)  Now to determine all x value where  f"(x) &gt; 0

Q: Let f(x)=xe^x. Use calculus to determine on what intervals is f(x) decreasing

A: Given  f(x)=xex

Q: If f"(x) = x*+2x - 15x, then on which of the following intervals is f concave up? (-5,0) (3,00)…

A: Given f''x=x4+2x3-15x2

Q: Determine whether the function f(x)=5+3x if x <4…

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Q: . Sketch a graph of a function f that is continuous ón (-0, 0 such thát f'(x)Ó on Eo,o); f'(x) < O…

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