( 4x – 1- 4x + b if x > 9 3 if a <9 Let f(x) = If f(x) is a function which is continuous everywhere, then we must have b =

Q: Determine the value for k that will make the function continuous at c = 4. x² – 9 if x 4

A: Left-handed limit of a function at a point is obtained by approaching the point from the left on the…

Q: Find the value for k so that the function will be continuous at x = – 1. 9x2 – 18x – 27 +9 if x - 1

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Q: Find numbers a and b, or k, so that f is continuous at every point. 3x+ 9, if x<-6 f(x) = { kx+ 6,…

A: Hair we are given that the function is continuous at every point. we use the concept of limit for…

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A: Given: Since every differentiable function must be continuous.

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A: We know that for any value of c, for x &lt; 5, the function is continuous and for x &gt;= 5, the…

Q: S 2x – 4 - 4x + 6 if x > 6 if x < 6 - Let f(x) = - If f(x) is a function which is continuous…

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Q: 3. Consider this function: 4.x + a if x 3 - 23 – 46 if x = 3. Suppose I tell you that f(x) is…

A: the function is continuous at x=3 therefore, limx→3-fx=limx→3+fx=f3 now…

Q: Q2: Find the value of the constant K if the function 4-x is continuous at x-2 f(x) ={3-Vx² +5 ;x= 2…

A: we have to find the value of k Given,  f(x)=4-x3-x2+5          x≠2K                              x=2…

Q: Suppose that f and g are continuous and that f(x) dx = -3 and g(x) dx = 7. Find [E(x) – 4g(x)] dx .…

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Q: x+2, The function f(x) = 2x², Select one: Ⓒ True False x≤1 1<x<3 is continuous from the right at x =…

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Q: ) Find the values of the constant a so that the function f (x) will be continuous for all x. fax +…

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Q: ,if x>2 Find the correct value of bb that makes

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Q: √4x+4-√√5x+1 x-3 k B) 1 CO Q18) if f(x)= 2 700 116 D)- 1*3 point A) and if f(x) is continuous…

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Q: 1. Solve the following problem. What value of k makes the function continuous at x = 3? x2 + 2x - 3…

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Q: (x² + 8, if x4) Consider the function f(x) = Find the value of B such that f (x) is continuous at x…

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Q: b. For what value of (k) is the function y=f(x) continuous at x=3. x3-3x2-4x+12 x#3 x-3 f(x) = k x =…

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Q: if x < 6 cx2 + 7x x3 - cx Let f(x) = if x 2 6. For what value of the constant c is the function f…

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Q: The function x2 f(x) = 1 - x is decreasing on (0, 1). Select one: O True O False

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Q: 10. What value of k makes the function {2x - (4(x + k) if x > 2 if x <2 f(x) continuous at x = 2? А.…

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Q: -3x² + 5x – 12, x 2

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Q: x+k , if x<2 x² +4 , if x22 For what value of k is the function y = < continuous? k =

A: Continuous function. Given function f is continuous if its left hand limit is equal to its right…

Q: Find the value for k so that the function will be continuous at x = -1. S 9x - 18 l-x² - 4x – 4 + k…

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Q: For the function S-a² + 2x if x -1' evaluate the left and right limits.as x -→ -1.

A: Given f(x)=-x2+2x         if x≤-1-x2+2x+2    if x&gt;-1

Q: Given the function: x2-4 if x 2 f(x) = , 2-x if x = 2 What should be the value of k so that f is…

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Q: cx2 + 8x 1 x³ - cx if x < 5 if x 2 5. Let f(x) For what value of the constant c is the function f…

A: Note that: cx2 + 8x and x3 - cx are polynomials and are always continuous.  We only need to check…

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

A: Given function is,

Q: x2-x-1 , if x 1 is 1 if x= 1 continuous at x=1 since the right and the left limits are equal at x =…

A: f(x)=x2-x-1if x&lt;13x3-4if x&gt;11if x=1

Q: Given the function: x² –4 if x + 2 f(æ) = { k, 2-x if x = 2 What should be the value of k so that…

A: We have to find value of K

Q: (2x² + 5, if x 5 Consider the function h(x) = Find the value of B such that h(x) is continuous at x…

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Q: Find a value of the constant k, if possible, at which S ka² 1 - 2x + k r >-4 I <-4 f(x): is…

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Q: ,15 .2 15 ** Let f be a continuous function. If f(x)dx= 15 and | f(x)dx = - 8, then | F(x)dx equals…

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

Q: Q1.Given: x2 - 4 when x 3 1.Find what values of ( a) and (b) that will make the function continuous…

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Q: Q1: Find the value of the constant K if the function 4-x ;x#2 f (x) ={3-Vx² +5 is continuous at x=2.…

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Q: if x 2 1. Determine the constant k such that the function f(x) = is continuous at x = 2.

A: As per guidelines, I can answer maximum one question. Since you have asked for multiple questions,…

Q: if x > 2 Given f(x) = {ax² + 10 (x² – 6x + B if x < 2 ’ (a) Find an equation relating a and ß if…

A: Given query is to find relationship between alpha and beta.

Q: Find the possible value for each of the constants a andb that will make the function f(x) continuous…

A: A function is said to be continuous at x=a iff limx→a-f(x)=limx→af(x)=limx→a+f(x)

Q: (x²–16 for x + 4 If f(x) = (k X-4 and if f is continuous at x = 4, then k for x = 4

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Q: 2. Find the value of k so that the function defined by f(x) Sx² + 20 x 5 continuous at x = = 5.

A: We know that, a function fx is said to be continuous at x=a if and only if Left hand limit=Value of…

Q: if x 2 1. Determine the constant k such that the function f(x) = {1 is continuous at a = 2.

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Q: 4x + 8, x3 If the function f (x) = is continuous at x = 3, then the value of k is О а. 2 O b. -2 O…

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Q: Find the value of k so that the function f(x) =- [ 5x+3 if x<3 is continuous everywhere? kx2 if x 23…

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Q: 6x – 3 if r 4 If f(x) is a function which is continuous everywhere, then we must have b:

A: If a function is continuous everywhere then the limits value around the break points must be equal…

Q: Q3\ a) Find the values of a and b to make the functions continuous at every x: ax + 2b 2) g(x) = }x²…

A: Given function is,  f(x)=-2        ;x≤-1ax-b   ;-1≤x≤13          ;x&gt;1

Q: if x + 3 Q3: Let f(x) = show that f(x)is continues at x 3 %3D ifx = 3

A: Continuity Definition: A function f is said to be continuous at a point a if  fx has a definite…

Q: (Bx2 – 3 Bx +2 if Suppose that f(x) = x< 2 if Find the value of ß so that f(x) is continuous…

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Q: If the function defined by 6x + 144 x # -24 g(x) = x + 24 k is continuous at x = -24 x = -24, then…

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Q: (x³ + 4, if x 2] Consider the function f(x) = Find the value of D such that f(x) is continuous at x…

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Q: 3. Find the value of the constant k that makes the function continuous f(x) = {x² – 6, x + 4k, x 6

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Q: x² - 2x-8 if x+ 4 (4) F(x) =, x-4 if f is continuous at x=4, а, if x = 4 then a =.

A: Topic:- limit and continuity