Find the constants a and b such that the function is continuous on the entire real line.

Q: Ax, y) = In(x +y)

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Q: Find the constant a such that the function sin x -13 - S(x) = %3D a+ 11x, x 20 is continuous on the…

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

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Q: Find the constant a such that the function is continuous on the entire real line. [ 5x², x 2 1 x < 1…

A: The given function is: f(x)=5x2   ,   x≥1ax-3,  x&lt;1 To find constant 'a' such that the function…

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Q: Consider the function f(x)=5x+6x^2 over the interval [0,1].

A: Given that :-         f(x) = 5x+6x2 over [0,1] (a)  By deviding the interval into n sub intervals of…

Q: Let f(x) = V5x² – 20. Find everywhere f is continuous. -

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Q: The function f(z) is analytic if

A: analytic functions are functions which are locally given by the convergent power series. i.e any…

Q: Find the constant a such that the function is continuous on the entire real line. Ssin x g(x) = if x…

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Q: Determine the values of a and b such that the function (x -a ,x 1 Is continuous of all values of x.

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Q: Show that the function f(x) = x' + 3x² is continuous at every real number a.

A: fx=x3+3x2

Q: Find the value of c such that the function is continuous on the entire real number line. [x + 3, xs2…

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Q: Find the constant a such that the function is continuous on the entire real line. (x) = {-4, S3x², x…

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Q: determine at which points, the function f(x)=x2 if x∈Q if x and f(x)=-x2 if x∈R/Q is continuous.

A: Given To evaluate the points where the function f(x)=x2 if x∈Q if x and f(x)=-x2 if x∈R/Q    is…

Q: Differentiate the function y = In [(x* – 1)(x² + 1)²] to the simplest form. - The number of online…

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Q: Let f : Z+ → N be the floor function f(x) = [(x – 1)/2].

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Q: Find the constant a, or the constants a and b, such that the function is continuous on the entire…

A: Given function is f(x)=x3, x≤2ax2,x&gt;2

Q: Explain, using Theorem 4, 5, 7 and 9, why the function is continuous at every number in its domain.…

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Q: Explain if the function is continuous or not for the given number a. if x > 1 f(x) = {1 if x = 1…

A: topic - limits and continuity

Q: Find the absolute maximum and minimum of f(x) %3D on each interval. (a) [1/2, 2] (b) [1, 3]

A: Given, fx=e2xx2 To find the absolute maxima and absolute minima values in the given intervals.

Q: Find the constant a such that the function is continuous on the entire real line. 9x², ax - 3, a = x…

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Q: Determine the domain of the function and prove that it is continuous on its domain f(x) = x2 / (x +…

A: fx=x2x+x14 The domain is the set of all values of x for which denominator is non-zero. That is,…

Q: Find the constant a such that the function is continuous on the entire real lin Sex², f(x) = x 2 1…

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Q: Find the constant a, or the constants a and b, such that the function is continuous on the entire…

A: Given, f(x) =2x≤-1ax+b-1&lt;x&lt;3-2x⩾3

Q: Let f be a function defined on the real line R and suppose that it satisfies the condition If(x) –…

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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…

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

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 intervals on which the function f(x)=x3+ax+b (where a,b are any real numbers) is convex…

A: Given function is firstly, we find f''(x)

Q: Find and sketch the domain of the function f(x,y)= exy/ x-y2

A: See the attachment

Q: Determine the domain of the function and prove that it is continuous on its domain f(x) = √(x2+9)

A: Solution:Given     f(x)=x2+9To find the domain of the function  and to prove f is continous on its…

Q: x -1 f (x): x² +3x %3D

A: If two functions f,g are continuous then the function f+g,f-g,fg are also continuous. The function…

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Q: Determine the continuity of the function at the given points. f(x) = [1, x-2, for x=1 at x = 1 and x…

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

Q: Find the constant a, or the constants a and b, such that the function is continuous on the entire…

A: fx=3x2,      x≥1ax-4,  x&lt;1 Since fx is a polynomial function for all x&lt;1 &amp; x&gt;1,…

Q: Find the constant a such that the function is continuous on the entire real line. Ssin x g(x) = if x…

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Q: Find the constant a such that the function is continuous on the entire real number line. (x) = {x +…

A: NOTE: Refresh your page if you can't see any equations. . find the left-hand side limit of the…

Q: Find c such that the function ² - 4 x c is continuous everywhere.

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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: let f(x) = on interval 0<x<2n, find a 2

A: See the attachment

Q: If f is a function satisfying |f (x) – f(y)| < (x – y)? - for all x and y, prove that f is constant.

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Q: Find the constant a such that the function is continuous on the entire real line. (9x², Flx) = {9x?,…

A: Given function is : fx=9x2    ,      x≥1ax-6   ,    x&lt;1 Here given that function is continuous…

Q: Find the constant a such that the function is continuous on the entire real number line. Sx³, x 2…

A: Given : f(x) = x3,x≤2ax2,x&gt;2 and the function is continuous. To find : value of a?

Q: f(x)=- %3D x² +6x+9

A: A function f(x) is said to be continuous at a point 'a' when the function is defined at that point…

Q: Let f(x, y) = -e2"-y + In(3x – y). Find the domain of this function.

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Q: Find the constant a such that the function is continuous on the entire real line. x² - a² if x * a…

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