=). A vat contains 4000 litres of wine with an alcohol content of 10%. How much of this wine mus removed so that, when it is replaced by a wine with an alcohol content of 17%, the alcohol content in final mixture will be 12%? [5+5+5= 15 mi Question 2 ). Find the values of a and b that make f continuous everywhere. x -4 if x<2 x-2 f(x)={ax -bx+3 if 2

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

A: Given: f(x) = 14-x2 To find: The values of x at which function is not continuous.

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A: Given f(x) = x2-4x-2x&lt;2ax2-bx+32≤x&lt;32x-a+bx≥3 It is continuous if and only if limx→2-f(x) =…

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A: To evaluate the given definite integral.

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

A: Given: The function, f(x) = 10-8e9-x,  x &gt; 910-89x,       x≤ 9

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

A: Topic:- limits and continuity

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A: Since you have posted multiple question in this question so I have solved first question as per our…

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A:

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

A:

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

A:

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: sinkx) x 0

A:

Q: 1) Find the values of a and b that make f continuous everywhere. x' - if x<2 х—2 f (x) = { ax? –…

A: NOTE: Refresh your page if you can't see any equations. . the function is continuous everywhere  so…

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A:

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A:

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A:

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

A:

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A:

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A:

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

A: Given:

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A: There is no such rule of division of two integral.

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A:

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

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A:

Q: Find values of the constants k and m, if possible, that will make the function f continuous…

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A:

Q: х — 3 - 40. f(x) x2 – 9 - x + 2 41. f(x) x2 — Зх — 10 - - x – 1 x2 +х — 2 - 42. f(x)

A: To find The x values at which the function is discontinuous

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

A:

Q: Find the values of a and b such that the following function a² cos(x − 2) — 26(³-x), if x 2, is…

A: Topic = Limits

Q: On which of the following interval is f(x) S O (0, +∞0) ○ (2, +∞) O [2, +∞0) 0 (-∞, +∞0) 1 x-2…

A: We will the fact that root value should be positive.

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

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Q: (e) If f(x) is continuous at x = 0, then what is the value of n: if 20 if x=0 f(x)=\ 38

A:

Q: At what points of R² are the following functions continuous?

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A:

Q: 3. What value of k would make f (x) continuous at x = 3 ? 3.

A:

Q: 7. Find the intervals on which the function is continuous, J (X) = +3)2+6

A:

Q: For what values of a and b is ax + 2b, g(x) = {x? + 3a - b, 0<xS2 3x 5, %3D - continuous at every x?

A: The given function is gx=ax+2b,        x≤0x2+3a-b,  0&lt;x≤23x-5,           x&gt;2. For the given…

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

A: Here given function as fx=x+2x2-x-6orfx=x+2x-3x+2orfx=1x-3

Q: For what value of a is the function continuous at every x?

A:

Q: ⎪ ⎨ ⎪ ⎧x^2 − 1 , − 1 ≤ x < 0 2x , 0 < x < 1 1 , x = 1 −2x + 4 , 1 < x < 2 0 , 2 < x < 3 a) Is f…

A:

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Q: Which of the following functions will not be continuous at x = -5? Select one: a. All of these…

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.