2x + 1 f(x) = is continuous for all real numbers. X+4 Select one: O True O False

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

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Q: If possible, choose k so that the following function is continuous on any interval: 7z³-21z¹ z-3 x =…

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Q: Find the intervals where f(x) = x2e−x is increasing and where it is decreasing.

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Q: Find the values of a and b that make f continuous everywhere. x2 - 4 x - 2 ax2 - bx + 3 if x < 2…

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Q: Find the values of a and b that make f continuous everywhere. 2-4 x 2 if x < 2 f(x) if 2 s x< 3 if x…

A: To determine the values of a and b so that f(x) is continuous everywhere.

Q: ax+bx+4 ifgと- ニ bx*-2 × ifメ

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Q: Find the values of a and b that make f continuous everywhere, x² - 4 if x < 2 2 f(x)%3D ax² – bx + 3…

A: The given function f is,

Q: 4х+7 (ii) If f(x)={ 1<x<2 determine whether the function f(x) is continuous 14x² -1 2<x<4 throughout…

A: Continuity of the function

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

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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 a and b that make f continuous every ²-4 If x < 2 f(x) = If 2 ≤ x <3 ax² - bx + 3…

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Q: The function f (x) = 3x² –4x-3 is continuous everywhere.

A: Given,             f(x)=3x2-4x-3

Q: Find the constant a such that the function is continuous on the entire real line. 7sin x if x <0…

A: For a function to be continuous at x = a, it must satisfy the following condition:

Q: Where is f(x)%3D4(x-2)+2(x-2) increasing?

A: Here, fx=4x-212+2x-232

Q: (x² + 1 if x -1

A: For function g(x) to be continuous on -1 limx→-1-g(x)=limx→-1+g(x)=g(-1)…

Q: Find all values k that make this function continuous at x = 3. 3.x – 9 - if x > 3 x2 3.x f(x) - 3x…

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Q: Find the values of a and b that make f continuous everywhere. x² – 4 if x < 2 x – 2 ax2 – bx + 3…

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Q: Let f(x)=-4cosx and g(x)=2cosx+3 for 0&lt;x&lt;2pi solve for f(x)&gt;(g(x) on [0,2pi]. Write the…

A: Sketch the graph of -4cosx&gt;2cosx+3 .

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

A: For the function to be continuous at all point.f(x) must be continuous at x=5 and,x2-c =…

Q: Find the constant a such that the function is continuous on the entire real line. 8sin x if x < 0…

A: For continuity of f(x) LHL=RHL     so find lhl and rhl and equate both to get a.

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

A: Given function is,

Q: Find the constant a such that the function is continuous on the entire real line. 1 = √7x², lax - 5,…

A: Topic = Function

Q: Find the values of a and b that make f continuous everywhere. x² – - 4 if x < 2 X - 2 f(x) ax2 - bx…

A: Please refer the attached image for complete solution.

Q: Find the intervals on which f(x)=2x/x^2+9 decreases

A: We have to find interval where f(x) is decreasing .f(x) is given by

Q: Let f be given by x² – 4 if x 3 - 2х — а +b Determine the values of a and b that make ƒ continuous…

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Q: Find the constant a such that the function is continuous on the entire real line. 8sin x If x < 0 if…

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Q: find the intervals on which f(x) is decreasing f(x) = 2x³ – 3x² – 36x

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Q: 5x f(x): %3D H-7

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Q: Let f(x) = 8x3 - x4 + 4. 1. Find the interval of concavity.

A: Find the second derivative of f(x) and equate it to zero f(x)=8x3-x4+4 f'(x)=24x2-4x3…

Q: Find the constant a such that the function is continuous on the entire real line. 3sin x if x < 0…

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Q: 1. Let f (x) = 2x² – x – 1 and let g(x) = x – 1 Which statement is true?

A: Given, f(x)=2x2-x-1 and g(x)=x-1

Q: find the extreme values on the interval f (x) = x2/3 − 2x1/3, [−1, 3]

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Q: Check the continuity of the function f(x) at x = -2 f(x) = - 6r + 3x l-6x if xs-2 if x>-2

A: Given,         The function fx at x=-2.           fx=x2+3xif x≤-2x3-6xif x&gt;-2

Q: Find the values of a and b that make f(x) continuous for all real numbers. (x+2, f(x) = { ax³, (x² +…

A: Given that f is a continuous function, then it is continuous at all the point. So, the function is…

Q: Let f be the function (8x-1 for x х Find the values of a and b that make the function continuous.

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Q: Solve for a andb that makes the function continuous at every number in its domain f(x) = 2x+1 x5

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Q: Show whether f(x) is continuous (3х-2 f(x)={ x-2 x² -4 for x=- for x+ -

A: Given that, f(x) = 3x - 2; for x = - 2 f(x) = (x + 2)/(x^2 - 4); for x not equal to - 2 So when x is…

Q: Discuss the continuity of the function f(x) = {x2 − 3x if x &lt; 22x + 4 if x ≥ 2on the closed…

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Q: On which interval is f(x) = x³ – 12x + 12 decreasing? ㅇ (-8;2) ㅇ (-8, +8) | O (-2,+0) O (-2, 2) O…

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Q: Find the values of a and b that make f(x) continuous for all real numbers. (x+ 2, f(x) = { ax³, (x²…

A: f(x)=x+2,x≤-1ax3,-1&lt;x≤1x2+bx,x&gt;1

Q: snmɔ Suppose 3x2+5x-2 (x)) f(x) as a continuous function? Which piecewise function redefines x+2…

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Q: Find the values of a and b that make f continuous everywhere. x² – 4 х — 2 ax2 – bx + 3 4х — а + b…

A: The given function is: f(x)=x2-4x-2            if  x&lt;2ax2-bx+3if  2≤x&lt;34x-a+bif…

Q: (a). Find the values of a and b that make ƒ continuous everywhere. if x<2 x-2 S(x)={ar - bx +3 if…

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Q: Find f (x) for the function f(x) = х-2 ·In x+5

A: This question can be solved using the concept of inverse of function.

Q: 7+6z – zº x 4 тх + b,

A: Given that,    A function is continuous everywhere means the function is continuous at every point…

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

Q: 3 Let f(x) = 4.x² 5 and g(x)= 3.x + 7, find. -

A:

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!