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Q: T T 5x1 - x2-x3 (:))-[-²] x1 + 5x3 x1 x2 X3 3 Ex: 5 (*))] 2 Ex: 5 -4

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Q: let (X)> and fre)=2, f ( X) is

A: Answer and explanation is given below

Q: Let F(x) =Cx41D, fCx)=X,and gox)=x+1 True or fals e (gof)(x) = FCX).

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Q: Find number k so that f(z) = 10x + 8 x -1 is continuous on (-0,0). O -2 4 -4

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Q: 6x3 + 5x* + 3x Suppose that f(x) = Evaluate each of the following: x3 f'(-4) = f'(1) = %3D

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Q: 3x+1 Evaluate f'(-1) given that f(x) = %3D 2x+1

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Q: Use Laplace Transforms to solve the given initial value problem. f(t) = y" + y; y(0) = 0, y'(0) = 1…

A: According to the given information, it is required to solve the initial value problem using Laplace…

Q: Assuming f of g = 1/x + 1 and if g(x) is x +1. Find f(x)

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Q: t is the direction of fastest increase at (-3, 4, -4) for the function f(x, y, z) = 1 x² + y² + z²

A: We have to find the direction of faster increase at (-3,4,-4)

Q: Suppose f(x) and g(x) are two functions such that: • f(3)=1 • g(3)=1 • f(3)=5 • g'(3)=7 What is…

A: we know that uv' = u'v+v'u                   product chain rule of differentiation

Q: 5. Let F(x)= = x - 3 x+7' (a) On which interval(s) is F(x) > 0? (b) On which interval(s) is F(x) <…

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Q: Sketch S and use the Divergence Theorem to calculate the surface integral fF.ds where F(x, y, z) =…

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Q: Find the range of f(x) = 23 e*+3

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