,2 { +х +a, х< -2 x < -2 f (x) = x > -2

Q: -x² + 2x +1 ,x1. If the function f(x) is continuous on Real number, then find values of b and c.

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Q: -1 r+1 2. If the function f(x) = I = -1 is continuous on R , then k = A -2 в -1 с о D I A B

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Q: Determine the value of the constant a for which the function f(x) is continuous at - 2. x² +6x + 8…

A: Given that, f(x) is Continuous at x=-2 f(x)=x2+6x+8x+2   if x≠-2a                 if x=-2   We have…

Q: x≤2 Q3. Find the value of k so that f(x)=(x², k-x², x>2 is continuous at x = 2

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Q: x+2 x<2 1) Let f(x)={ ax² – bx+3, ; 2sx<3 x 23 2x-a+b Find the values of the constants a and b given…

A: Here I am attaching image so that you understand each and every step.

Q: x+2 x<2 1) Let f(x)={ ax² – bx+3, ; 2<x<3 2x- a+b X23 Find the values of the constants a and b given…

A: given function   fx =x+2    ; x&lt;2ax2-bx+3   ; 2≤x≤32x-a+b   ;  x≥3f is continuous at x=2 and x=3

Q: A function g(x) is continuous on the interval [-4,4] and its first and second derivatives have the…

A: A table

Q: Determine the value of the constant a for which the function f(x) is continuous at 1. x + 3x +2 if…

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Q: 3x + 5, 13+¹6, Find a value of x, if any, at which f(x) = If f(x) is continuous for all values of x,…

A: Given: Notice that 3x+5 is continuous for x&lt;4 and 13+16/x is continuous for x&gt;4. Now, we need…

Q: X+4x+x-6 P+x-2 x+1,-2 Where is the function f(x)= x=-2 discontinuous? Oa. 1 Ob. -2 Oc. 1, -2 Od. The…

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Q: (x² +6x , x< a is continuous Find all values of a such that the function, g(x)=. 2х-4 , everywhere.

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Q: Let f and g continuous functions in that satisfy at the same time the following equalities : • [ (ƒ…

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

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Q: -(x-a)² - 1, 7. g(x) = tan x (x + b)² + 1, x>7 What must a and b be for the given function to be…

A: Given :

Q: Find the values of x for which the function is continuous. |x - 10| x - 10 f(x) = O x+ 0 all real…

A: For continuity: 1. The function should have a finite value at given x.  2. mod(fx) = f(x) , if f(X)…

Q: 19 If f(x) be continuous function for all real values of x and satisfies; x + {f(x) – 2 }x + 23 - 3…

A: Introduction :

Q: 4. Find the constants a and b, such that the function is continuous on the entire number line. 2, x…

A: Topic - continuity Of a function

Q: х-4 ,x5 A 5 (B) -4 O 3 (E none of the given choices

A: Given, f(x)=x-4, x≤5kx2-24x+46, x&gt;5

Q: x = -1 x = 1 For what value of c is the function f (x) = continuous at x = -1? 12 –1 (x+1)(x-3)…

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Q: x3- 3 if x 2. B-10. Is the function defined by f (x) { continuous at x 2? Differentiable I at x =…

A: Given piecewise function is: fx=x3-3if x≤2x2+1if x&gt;2 To determine whether function is continuous…

Q: 54. A function y = f (x) is continuous and differentiable on the interval (2, 6). If i f (x) dx = 18…

A: y=f(x) is continuous and differentiable on the interval (2,6)∫35f(x)dx=18 and f(3)=8, f(5)=11

Q: 12)The range of the function f(x) = sinx -1-2 is the interval : a)o 치 b) (x+10) {(a-10)] c)O d) O…

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Q: The function f(x) = 2/(x+5) is continuous on the interval [-6, 4]. %3D Select one: O True O False…

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Q: Q4) Find values for the constants a and b so that the function h(x) = ax + 5, x5 Is continuous…

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Q: 10, x<-1 g(x): = {ax + b,-1< x < -10, x 2 9

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Q: x2+2x+17 If f (x) = then f continuous on the intervals... x²-1 (-0, –1); (–1,1); (1, 0) (-0, –1);…

A: Let's find.

Q: g(x) = ln x 1 f(x) = Which of the following functions are continuous for all real numbers?

A: Given The given functions are The function f(x) is continuous on interval [a,b] if it is continuous…

Q: (c) The function f(x) is defined in the interval [-1,6] by 3-x, -1<x<2 f(x) ={ x -a, 2<x<b…

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Q: Find the intervals of x-values where the function is increasing. f(z) = -– 2 %3D x >1 0 <x <1 O I<0

A: We first find f'(x)

Q: x 4 Determine the constants a and b so that f is continuous on R.

A: This question can be solved using the concept of continuity of a function at a given point.

Q: (c) Let g : R → R be a continuous function such that +5x-9 g(t) dt = –3x . Help Willow find the…

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Q: 2:46 Find the value of the constants a and b that makes the function continuous. Define x-1 : x

A: Consider the given piecewise function and the condition for the function f(x) to be continuous.

Q: f(x)= -2x+3 if x>-1 it メニー」 3+ ax2 if xc-1 if xa-I Is the fanciono continuous at x>-1?

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Q: -kx + 1, x>4 a) Find the value k, if the function f (x) = (x² – 3x + 1, x 4

A: Given, fx = x2-3x+1,    x≤4-kx+1,         x &gt;4   We have to find the value of k for which the…

Q: The question is in the picture below.

A: As given the f(x) is continuous on R so it will continuous at x=2 and x=1 , then limit will exists…

Q: 1. Consider the function 1(2) = - - dz -3 a) Determine f(-4), f(»), and f(a + h).

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Q: Determine the value of the constant a for which the function f(x) is continuous at - 4. x+7x + 12 if…

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Q: A non-linear function is given by f(z) = a²-1 Where a is a constant. a) Obtain the linearized form…

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Q: x+1 Determine where the function m(x) = - is continuous. (x - 1)(x– 4) The function is continuous on

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Q: 3. Determine the values of a and b if the given function f(x) is continuous. 1 ,x 2

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Q: х-4 ,x5 Given: f(x)= , find the value of k that will make f continuous on (-0,) kx2 – 24x + 46 , x>5…

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Q: kr – 2 r+ -1 (2) Find number k so that f is continuous on (-∞0, 00). f(x) = 3x – 1 x = -1 x+2

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Q: ( cx2 + 3x if x < 2 Let f(x) - CX if x 2 2. For what value of the constant c is the function f…

A: cx2+3x       x&lt;2x3-cx      x≥2For a function to continious limx→2-f(x) = limx→2+f(x)when…

Q: Let f(x), g(x) be two continuously differentiable functions satisfying the relationships f'(x) =…

A: Introduction :

Q: 5x +1 is not continuous. Find a value of x, if any, at whichf(x) %D 25x + 10x + 6 Enter your answers…

A: NOTE: Refresh your page if you can't see any equations. . to find the undefined points take…

Q: -3 Let f be a continuous function such that f(x) dx = -6 and 10 10 1 f(x) dx 3. What is the value of…

A: Given integrals are ∫-2-3fxdx=-6∫-210fxdx=3

Q: x3-1 D. Is the function k(x) = {x²-1* * 1 continuous at x = 1? 2,x = 1

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Q: 3. Find constants A and B that make the function continuous and differentiable for all x. Ax x > 1…

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Q: (ii) Consider the function f(x) = ln(e² – 3). (a) Find the domain of f.

A: given  y = f(x) = ln(ex -3)