17. Find all values of the constants m and b for which the function [sin x, mr + b, 12T is a. continuous at x- T. b. differentiable at x- T.

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A: topic - equation of tangent line

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A: Hence it is given that the given function is continuous, so we can write:…

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Q: Find values at x where the fuction is NOT differentiable(in any) f(x)= lx-2l +3

A: Given function is By definition, we have Therefore,

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Q: 7. Suppose that f: R R is differentiable at c and that f(c) = 0. Show that g(x):= |f(x)| is…

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Q: (sin x - a ((x) = {cosx +b -nsx<0 e -1 x<-T x20

A: Topic = Continuity a=2 b=-1

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Q: 10. Consider the function defined by f(x) = Vr. Is ƒ differentiable at r = 1? at r = 0? at %D x =…

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Q: 9. Show the function f(z) = 1 + 2i+2Re(z) is differentiable or not differentiable at any points.

A: Solution

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A: Absolute extrema

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Q: 12. Let f(x, y) = tan(ry). Find f, and fy for this function.

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Q: 50 if x E Q 1 if x € R\ Q Let f(x)= Prove that y=f(x) is not continuous at any points a E IR.

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Q: 6. If f is continuous and f² f(x) dx = 6, evaluate S/² f (2 sin 0) cos de.

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Q: | Suppose f(x, y) = 2 sin(11æy) and g(æ, y, z) = /144 – æ² – y² – z². Find the following function…

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Q: H.W Ex 2: Determine if the f(x) is continuous at x = 3 ? [x² – 1 f(x)=- |x² + 2 at x=3 at x+3

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Q: Find the value of c that makes the function continuous at x = 0.

A: Given function:

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