Find the value of a so that the function is continuous everywhere x2 + ax – 2, x<1 x + 3, f(x) x <1 %3D x > 1 O 1 O 2 O 3 O 4 O 5

Q: Find c such that the function 10 г c - || 26 х > с is continuous everywhere. c =

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Q: at

A: We have to choose the correct option from the given options according to the given information

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Q: Hello! What is the solution to this question? Thank you for your help! Have a nice day :)

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Q: (b) A continuous function f : [0, 1] → R such that its graph (r, f (x)) C R² is not closed.

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Q: Find the value of k so that the given function f is continuous at x=1,where [2+ kx x 1 c) 1 d) 12

A: The given function is: f(x)=2+kx, x≤15+3x, x&gt;1

Q: 3. Describe the interval(s) on which the function is continuous. c) S(x)= x-1 2, x= 1

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A: Given the function   f(x) = x+3-5x+3,  x≠-3a,                 x =-3   We need to find the value a…

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Q: If f is continuous on [-1, 1] and f(x)dx = 0, then there exists some ce [-1,1] for which f(c) = 0.

A: Given: f is a continuous function on the interval -1, 1 and ∫-11f(x) dx=0. Prove: There exists some…

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A: Sol:- Consider the function between (0,1) ∫011+x+x2+x3dxApply the Sum Rule:…

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Q: Suppose f is a function such that f(n+1)(t) is continuous on an interval containing a and x. Then f)…

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Q: 55. Let F be a function given by Sx2 + 1, for x s 2, 2x + 1, for x >2. F(x) = a) Verify that F is…

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Q: 2. Which function is bounded both above and below? B. 1. f(x) = x' S(x) = x+2 %3D С. D. f(x) = 4e…

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Q: Find a value of k making h(x) continuous on [0, 5]. kx 0 < x < 2 x + 1, 2<x < 5 h(x) =

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A: If it is continuous at x=a , then left and right limit must be same at x=a

Q: 1 If f(x) is a non-negative continuous function for all x, such that f(x) + + f(x+1/2) = 1,0 ≤ x ≤ -…

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Q: . Find a value of k so that the following function is continuous at x = 1. f(x)%3D x<1 x-1 2kx, x21

A: Given: The given function                                             To find: The value of k, such…

Q: 7. Suppose f is a continuous function on [a, b] and Sf(x)g(x) dx =0 for every continuous function g.…

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Q: Find a value of k making h(x) continuous on [0, 5]. kx , 0 < x < 1 h(x) = x +3, 1<x < 5

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Q: 4) Find the value of the constant k so that the function (1 – k, if z<3, f(z) = 1– kr, if 123, is…

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Q: 1) What values should be assigned to c and d to make the function continuous every where 3. – 1 f(x)…

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Q: Find all values of the constant a such that f is continuous for all real numbers. ах x 2 0 f(x): tan…

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Q: Find the value of m so that the function f(x) will be continuous everywhere mx +2 f(x)%3D2X+mx-n 3.…

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Q: Find the constant a such that the function is continuous on the entire rea 6sin x X g(x) = a 8x if x…

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Q: 3x2 - x2y + 3y2 x² + y² Define f(0, 0} in a way that extends f(x, y} to be continuous at the origin.…

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Q: Aa 46. Find the values of a and b that make f continuous everywhere. x2-4 if x<2 f(x) = ax? - bx + 3…

A: Given that

Q: (b) A function f AR is continuous at a point c E A if for any e > 0, unere exists A one 8 >0 but de…

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Q: Find a value of k making h(x) continuous on [0, 5]. 0 <x < 2 x +1, 2<x < 5 eka, h(x)

A: Givenh(x)=ekx    0≤x&lt;2          x+1  2≤x≤5To find a value k when h is continuous on…

Q: Find the value of c such that the function is continuous on the entire real number line.

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Q: 3x? – 1 if x 1 Determine c and d so that f is continuous everywhere (as indicated in the figure) -1

A: Given  f(x)=3x2-1if x&lt;0cx+dif 0≤x1x+8if x&gt;1

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Q: Find the values of a and b that make f continuous everywhere. x2 - 4 if x 3 a 3D

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Q: Find c such that the function x c is continuous everywhere. x² – 8 f(x) = {

A: ANSWER : c = 5

Q: The Fundamental Theorem of Calculus (Part 1) states that if f(x) is a continuous function on an…

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Q: If f is a continuous function satisfying f(x) = x² - x +(1- x)[, fodi+xf (1-r*)f()dt for all x, then…

A: We have to find it using various differential calculus techniques.