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

Q: (a) x(x – 3)*

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Let if a < - 5 if -5 < x < – 1 3 if -1<x < 3 f(x) = if a 3 and g(2) = / r(e)dt Determine the value…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: A) Find the length of the midsegment of each trapezoid. 1) K 2) 22 inU W 40 in AB = XY = 3) 4) 59 ft…

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Q: (-3 if z 2

A: Here is a step by step solution of the problem. We have proved discontinuity at x=2 by evaluation…

Q: Find the domain of the function f(x) = /2x – 3 - In interval form, the domain of f is

A: here function is given in form of square root this can't be negative so the value inside is positive…

Q: if 4x Suppose that g(x) = {ax + b xS-1 if - 1<x < 2 if x2 2 Find the value of a and b such that g(x)…

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Q: (b). Show whether (*) is continuous at *=-2, if (3x-2 for x = -2 S(x)=. x? - 4 х- 2 for x * -2

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Q: ( 2x +7 x<1 10-5x x21' 5. For the function defined by f(x)= , which of the following represents the…

A: Given function is f(x)

Q: What type of discontinuity occurs at x = 1 for the piecewise function? if x <1 if 1<x 3+ x h(x) =…

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Q: Where is the function f(x) = if x 0 removable discontinuity? Is it a jump discontinuity?

A: A jump discontinuity occurs when right and left limit exists but are unequal .

Q: 1. From the graph, determine the function f (x) is continuous at x = -1. f(x) 3 %3D %3D -5 -4 -3 1…

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Q: Find an anti-derivative F(x) of f(x) = 7x³ – 6x² –- 1 satisfying that 7 F(1) = 4

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Q: f (x) || 2x+5 5x-1

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Q: Which of the following statements is not true for f(x)? S2+3 x 0 f(x) = o f(1) = 4 o f(0) = 3 %3D…

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Q: Calculate the extremum point of below function and Classify it f(x) = 4 x³ + 2 v11 – x + x?

A: It is given that fx=4x3+211-x+x2. We have to find the local maximum and local minimum points of the…

Q: The function f(x) = 1/ (x 4 + 6) is continuous for all values of x in R. %3D O False O True

A: We have to determine whether the given function is continous for all values of x in R or not.