Find the number a and b at which f is continuous everywhere? x+a if x <0 f(x)={ 5 if 0sxsl b-x if x>1

Q: (c) Suppose that ƒ hits every value between y = 0 and y = 1 on the interval [0, 1]. Must ƒ be…

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Q: If f is continuous at a number, x, then f is differentiable at x. True

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Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A: The denominator can not be 0.  So, x≠0 and x-1≠0  Or, x≠0 and x≠1

Q: ALL of the following are properties of continuous functions except a. h/b is continuous at x = a…

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Q: Determine the set of points at which the function is continuous. a) f(x,y) = ln (x² + y² – 4)

A: According to question given thatf(x,y)=ln (x2+y2-4)

Q: Find the values of x, if any, at which fis not continuous if f(x) = ² x x+4 A. 0 B. -4 C. 0 and -4…

A: topic - continuity

Q: Suppose f" is continuous everywhere. For any constants a and b, show that xf" (x) dx = bf" (b) –…

A: Explained below

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

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Q: For what values of b is - b b + 1' g(x) x? + b, x > 0 continuous at every x?

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Q: Find a value of a so that f is continuous at c = -3, or indicate this is impossible. x+3 x -3 f(x) =…

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

Q: Find a value of x, if any, at which f (x) = Vx – 125 is not continuous. If f(x) is continuous for…

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Q: Consider the function f(x) : Find the value of B such that (3x + B if x> 3* f(x) is continuous at x…

A: Given: fx=2x2+3  if x≤33x+B   if x&gt;3

Q: Find all values of c such that f is continuous on (-∞, ∞). S 4– x², x c с 3 (smaller value) C =…

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Q: If f(x) is differentiable at x = a then f(x) is also continuous at x = a. A True B False

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Q: Consider two continuous functions f(x) and g(x) along with two real numbers a and b where a < b. If…

A: Two continuous function fx and gx Let fx=aconstant, constant function is always continuous. gx=ax,…

Q: B) If f is differentiable at x, then prove that f is continuous at x Is the converse true? Why

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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: x + 1, x 2 – 2x, |x² – 4x + 1, x > 2 x < 2 48. f(x)

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Q: Let f(x) = CX– 2, x > I lx+ 8, x < 1 For what value of c is f(x) continuous on (-00, 0)

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Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A: Given :             f(x) =1(4-x2)

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A: Given- fx=xx2-4 To find- The values of x at which the function is not continuous. Concept used-  The…

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?

A: A function is continuous in a given interval, if the graph of function makes a continuous or smooth…

Q: Find numbers a and b, and c, so that f is continuous and differentiable at every point. 4) x- + C,,…

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Q: True or false: if f(x) is continuous at x =a, then f(x) is differentiable at x =a.

A: We have to determine the given statement as true or false.

Q: Find the values of c that make f continuous everywhere: ´x² – c² if a 9 smaller c = larger c = Use…

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Q: g(x) = sec(x) %3D

A: To find all the intervals the function g(x)=sec(x) is continuous

Q: H.W Ex 2: Determine if the f(x) is continuous at x 3 ? at x-3 f(x) =- x²+2 at x 3

A: Given query is to find f(x) is continuous or not at x = 3.

Q: Q3) For what values of a and b are -х2 +а , x<0 x in+1, 0 < x<- y = bx3 + 2, Continuous at every x ?

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Q: Find a value of x, if any, at which f(x) = Vx – 8 is not continuous. If f(x) is continuous for all…

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Q: Q3) For what values of a and b are -x² + a , x< 0 1 xsin-+1 , 0 < x< y = bx³ + 2 , Continuous at…

A: See the attachment

Q: Find the value/s of a such that the function f is continuous everywhere.

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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: 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: Find the value of a so that the function is continuous everywhere x2 + ax – 2, x 1 O 1 O 2 O 3 O 4 O…

A: Given:   f(x) = x2+ ax - 2  when x≤ 1     f(x) = x + 3 when x &gt; 1

Q: 3. For what value of b, f(x) is continuous at every x? f(x) = {, x -2

A: Given that, fx=x         x&lt;-2bx2      x≥-2

Q: 87. If f is continuous and f(x) dx 10, find f(2.x) dx. %3D

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Q: True or false: Let f(x) be a continuous function. Suppose that f(x)dx converges for some real number…

A: We have used some properties of integration.

Q: 4) Is the following functions continuous? for x < 1, d(x)= x- 2 for 1 < x.

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Q: x+ (х,у) # (0,0) f(x,у) — 1-/x² +y² +1 k (х, у)%3 (0,0)

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Q: Find a constant b such that h is continuous at x = 2, where x +1 for |x| 2 With this choice of b,…

A: It is given that the continuous function  hx=x+1for x&lt;2b-x2for x≥2 It is also given that function…

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A: Given: fx=1x2+1 To find discontinuities find the value of x at x2+1=0 x2+1=0x2=-1 But there exists…

Q: B/ For what value of a is fa continuous at every x? x2-1, x<3 fo 2ах, x2 3

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Q: The function f(x) is continuous everywhere. FALSE O TRUE 3.

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

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Q: Find a constant b such that h is continuous at x = 2, where h(x) = {x + 1 for lxl &lt; 2 b - x 2 for…

A: Given, hx=x+1x&lt;22b-x2x&gt;2

Q: Q3) For what values of a and b are -x² + a , x Continuous at every x ?

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Q: Find values ofa and b that make B(x) both continuous and differentiable at x = 2: ax? B(x) ={ 6x + b…

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