Find the sum of the constants A and B so that the following function is continuous at x = 1. Bx2 + 2Ax – 1 if x<1 if x = 1 Ax + B if x>1 f(x) = 4 Answer:

Q: s] B1(a): Find the value of k that makes function continuous at x = 4 x > 4 6x – k x < 4 3x + 6 f(x)…

A: The given function is fx=3x+6if x&gt;46x-kif x≤4. Assume that the above function is continuous at…

Q: Find the value k that makes the function continuous. (ka?, x > -2 f (x) kx + 18, x < -2

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Q: Let f(x)={mx−17 if x<−10               {x^2+3x−7 if x≥−10 If f(x) is a function which is…

A: Topic = Functions

Q: For what value of the constant c is the function f continuous on (−∞, ∞)? f(x) =      cx2…

A: The function f is defined by: The definition of the function changes at x=5So the function is said…

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A: We have to find value of a and b for given Questions.

Q: Given the function f(x) = {2ª 2x x 2 which statement is FALSE at x=2? O The derivative from the…

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Q: For what values of a and b will f(x) be continuous on everywhere at x = 2 if the function is x² – 4…

A: f(x)=x2-4x-2x&lt;2ax2-bx+32≤x&lt;32x-a+bx≥3

Q: If f is continuous and ∫31 f (x) dx = 8 , show that f takes on the value 4 at least once on the…

A: Given that f is continuous and ∫31 f (x) dx = 8. We have to prove that, f takes on the value 4 at…

Q: Find the value of constant K that makes the function below continuous at x = 2. -2x X < 2 X-2 f(x)…

A: Given,           fx=x2-2xx-2 ; x&lt;2kx-3 ; x≥2

Q: Find the value of the constant a that makes the following function continuous on (−∞,∞).   f(x)=…

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Q: For what value of b, f(x) is continuous at every x? (a²x-2a f(x) = (12 x2 2 x< 2

A: As f(x) has two parts and both parts are continuous in given x so make continuous only at point x= 2

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: For what values of a and b is ax + 2b, g(x) = {x + 3a - b, 0 2 continuous at every x?

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Q: - 3x + 1, x S 4 Find the value k , if the function ƒ (x) = is continuous at x = 4. -kx + 1, x > 4

A: We will find the value of k as following.

Q: Find value a  such that f(x)={x^2+2x-1 if x not equal to 1…

A: given,f(x)=x2+2x-1  if  x≠1a                if x=1left hand limit at x=1limx→1- f(x)=limx→1-…

Q: .. Find the constants a and b, such that the function is continuous on the entire number li 2, x≤ -1…

A: Topic:- calculus

Q: Find the value of the constant (a, b, or c) that makes the function continuous.

A: A function fx is continuous at x=a if its left-hand limit, right-hand limit, and fa are equal and…

Q: Find the constant a such that the function is continuous on the entire real line. S 8x², f(x) ax -…

A:

Q: if x3 is continuous at x = 3

A: Given query is to find the value of c so that function is continuous at x = 3.

Q: (b) Suppose that f(x) = SBx? – 3 if if xS2 (Bx+ 2 %3D Find the value of ß so that f(x) is continuous…

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Q: Find a value of x, if any, at which f(x) = Vx – 27 is not continuous.

A: f(x) = (x-27)(1/3) To find :- Value of x where function is discontinuous

Q: Find the constant a such that the function is continuous on the entire real number line. S x + 5, x…

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Q: Find the value of the constant & that makes the following function continuous on (-o, o). | 2x – 6…

A: fx=2x-6     if  x≤6-3x+b  if  x&gt;6 Since the function is a polynomial function for all x&lt;6…

Q: Find A given that the function, f(x), is continuous at 6.f(x)={x2Ax−42x

A: For function to be continous at x=6 , it should meet this condition

Q: d) Find the value of the constants ' a’ and b ’ that makes the function continuous at x= 3 ах + b ;…

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Q: Consider the piecewise-defined function Vx+ 1, x> 3; f(x) = { 2b, X = 3; x < 3. %3D ax + b, Supposef…

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Q: 2. Supposethat f(x)=?βx? −3 if βx + 2 ifx≤2 x &gt; 2Find the value of β so that f(x) is continuous…

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Q: find constants a and b such that f(2) +3 = f(0) and f is continuouspiecewise f(x) = ax + b , if…

A: We have been given a piecewise function and a condition f(2)+3=f(0) and the fact that f(x) is…

Q: If f is continuousand ∫31f(x) dx=8, show that f takes on the value 4 at least once on the interval…

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Q: Determine whether the following functions are continuous at x = 2: x 2 7x + 3 f(x) = 3x + 7

A: Determine whether the following functions are continuous at x=2

Q: For what values of a and b is ах + 2b, x² + 3a – b, Зх — 5, 0 2 |continuous at every x?

A: Given:

Q: Determine a value of m (if possible) for which f is continuous at x = 4. mx – 48 if x<4 f(x) = 2 3x?…

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Q: Which of the following functions will not be continuous at x = 2? %3D Select one: a. All of these…

A: To find that which of the given functions are continuous at x=2.

Q: 2. Find the values of the constants a and b for whichf is continuous everywhere if ax + b, f(x) =…

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Q: Find the value for k so that the function will be continuous at x = 2. 4x + 16 if x 2

A: The function fx is continuous at x=a, if limx→a-fx=limx→a+fx It is given that fx=4x+16if…

Q: On what domain is the function f(x) = – 4+ v–48 – 6x continuous?

A: The given function is: f(x)=-4+-48-6x

Q: Find the sum of the constants A and B so that the following function is continuous at x 1. Bx2 + 2Ax…

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Q: Determine whether the following function is continuous at the given point z =: 3x2 + 14x – 5 1 3…

A: Given. The function fx=3x2+14x-53x-1  x≠13163x=13 We have to check the continuity of the function at…

Q: For what value of the constant a is the function continuous on (-0, 0). for r 1 f(x) ax a =

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Q: find the value of the constant (a, b, or c) that makes the function continuous

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

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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

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Q: Find m so that f(x) is continuous at x = 2. x +4 if x 2 -

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Q: Determine whether the following function is continuous at the given point z= 22 +9z – 5 f(=) = 2x-1…

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Q: a) Suppose that f(x) = 4x if x<-1 = cx + d if – 1<x< 2 = -5x if x 2 2 Find values of c and d such…

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Q: Find the values of a and b that make f continuous everywhere. x2 - 4 if x < 2 X - 2 f(x) if 2 s x <…

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Q: Find a value for the constant k, if possible, that will make the function continuous. kox+1 for x 3

A: K = 1/3

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

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