19. Determine the following function if continuous at 2 f(x) = (,) ;at x = -1 + 1 A. discontinuous at x=-1 B. discontinuous at x=1 C. continuous at x=-1 D. continuous at x=1

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Q: 21. Determine the following function if continuous at 2x g(x) s6) = ; at x = 3 \x² – 4x + 3 A.…

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A: continuty

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Q: define the function at 5 so that it becomes continuous at 5.

A: First, we rationalize the function, so that it becomes continuous at 5 which is shown on the board

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Q: 3. Find the value of k that will make f continuous on (-o, 00). NORS x + 19 if x 1

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Q: 55. Is the function given by S + 4, for x s 3, 2x - 5, for x > 3, F(x) continuous at x = 3? Why or…

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Q: 11. Prove from the definition that the following functions are differentiable. ()- (b) f =xy?

A: By the definition, the function f(x,y)=xy^2 is differentiable if fx(x,y) and fy(x,y) both exist.

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

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A: The Given function is f(x)=x+33  ,  a=-3

Q: (d) A function not continuous at 0 such that (f(x))4 is continuous at 0.

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Q: 35. Given that f(z) is a continuous even function, then A 0 D

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A: topic - limits and continuity

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A: According to the problem, we have

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