3. Find constants A and B that make the function continuous and differentiable for all x. Ax x > 1 f(x) x2 + B x < 1

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A: Given f(3)=6, f'(3)=5  To find f-1'6 By the formula, f-1'x=1f'f-1x And we know that if f(a)=b then…

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A: We need to show f takes value 4.

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Q: 3. Find a value of b so that the function x 1 f(x) = is continuous on (-0, 0).

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Q: 6. Determine the value of the constant a for which the function g(x) is continuous at x = 1 x2 + 5x…

A: This is a limit and continuity problem

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Q: 14. Consider the function f (x) = x²e+x . f(x) has two inflection points at x = _ and x =_.

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Q: 1) Find the value of Z that make the function continuous at x=4? V-2 x + 4 X-4 f(x) = {z3 x = 4

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Q: -1.5 0 1.5 For what value of constant c is the function k(x) continuous at x = 0 if k(x)= No such…

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A: As per company guidelines we can solve first question. I hope that the given solution will help you.…

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Q: 1. Is a function f(x)=√x differentiable at a) X = 1 b) X = 0 c) X = -1

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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Q: 1(a): Find the value of k that makes function continuous at x = 4 4x +8 > 4 4x – k a <4 f(x) =

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Q: if x1 O No, since g(x) is undefined at x=1. O Yes, and g'(1)=3. O Yes, and g'(1)=8. O No, since g(x)…

A: Given

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Q: 3. Find constants A and B such that the function x2 f(x) = if x 2 is differentiable at x = 2.

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Q: 6. Determine the value of the constant a for which the function g(x) is continuous at x = 1 x* + 5x…

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Q: 7. Find the intervals on which the function is continuous, J (X) = +3)2+6

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Q: c that makes the function f continuous (cx +3x-1, x+cx, x <4 f(x) = x24

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Q: Q.4 A/ Prove the function continuous at x = -2, (x2 + 5 13-3x where %3D if x<-2 if x 2-2 f(x) = %3D

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Q: 19 If f(x) be continuous function for all real values of x and satisfies; x2 + {f(x) – 2 }x + 2/3 –…

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Q: Determine unknown constants a and b for which g(x) is continuous at x=1. [5x - 2 x 1

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