9. 3x2 Let g(x) = -2x2 r<0 (b) Prove that q is not differentiable at 0.

Q: Let f(x) = {ax² (2x + b differentiable (a) 1 at x = 1. x ≤ 1 x>1 (b)-1 . Find a so that f is (c) 2…

A: Here is the solution:

Q: I understand part A where g is not continuous, but I dont understand the differentiable part. Why is…

A: Given graph

Q: Locate and classify the local extremum of the function f (x, y) x² + y? – 8x – 2y + 6. | -

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Q: Let f(x) = v9x+ 8 and g(x) = x+9 be functions from R to R. Find the following. a) (f • g)(x) = %3D…

A: We are given f(x)=9x+8 and g(x)=x+9 and we need to find different composition of the function.

Q: √x² + y² x-1 (a) Find and sketch the domain of f (x, y). 2. Consider the function f (x, y) = 4 (b)…

A: The given function is  f(x,y)= x2 +y2-4x-1 We know that the domain of a function is the set of…

Q: The interval on which f(x) = 3 – 2x – 12x² – x³ is | - concave down is: O (-4, 0) O (-∞, 4) O (4,…

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Q: . Show that the function f: R→ R defined as f(x) = 13x − 15 is one-to-one.

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Q: Find the best quadratic approximation to f on the interval [ 0, 1].                       f(x) = ex

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Q: 3 a) Let f(x) = x(x + 4) ³. The only inflection point of f(x) which lies in the interval [-2/2,0]…

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Q: 1) Find the interval(s) where f(x)= 12 x3 -x+6 is concave up and concave down . Also find the…

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Q: 3. Determine whether f is differentiable or not differentiable at 1. (x – 1 if x > 1 (-x² _if x <1…

A: If a function is differentiable at any point x=a ,then its L.H.D. =R.H.D.

Q: Explain why evaluating a limit along a finite number of paths does not prove the existence of a…

A: We have to explain why evaluating a limit along a finite number of paths does not prove the…

Q: Express f(2)= Inz in the form u + iv and test the analyticity of f(z).

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Q: Use the Intermediate Value Theorem to prove that the function has at least one root on the interval…

A: The given function is, The above function is continues on the closed interval [3,10] The value of…

Q: Find all points at which f(z) = (x)/(x2+y2) - i(y)/(x2+y2) is differentiable. At what points is f…

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Q: Use the Intermediate Value Theorem to show 11. f(x)=2x' +3x-1 has a zero between a = 0 and b = 1.

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