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

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Q: Find c such that the function 10 г c - || 26 х > с is continuous everywhere. c =

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Q: For the continuous function f(x), if f’(-4) does not exist, then x=-4 is a critical point.

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Q: Find c such that the function f(エ) 8x- 20 I > C is continuous everywhere.

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

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

A: Given fx=5x2-20

Q: x< x3 B- If f(x) = Ax? is continuous at x = ; Find A? HIN IN

A: We are given : f(x)=x3       , x&lt;12Ax2     ,x≥12 is continuous at x=12 Condition for f(x) to be…

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Q: f(x)={x^2−9x≤c, 2x−10 x>c } i

A: Consider function f(x)=x2-9           x≤c2x-10        x&gt;c Now  limx→c+ f(x)=limx→c+…

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: D. Prove that f(x) = |x - 6| is continuous at all points c in R.

A: Given function is fx=x−6. We have to prove that the function fx=x−6 is continuous at all point c in…

Q: Consider the piecewise function: |x- 1| x² – 1' x <1 f(x) = (Ax² + 6, x 2 1 For what real number A…

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Q: If f(g(x)) is continuous at 0, then g(x) is continuous at 0  true or false

A: Given that If f(g(x)) is continuous at 0, then g(x) is continuous at 0

Q: Find the constant a such that the function is continuous on the entire real number line. S x + 5, x…

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Q: Find c such that the function Sx2 – 4 - 4 x c is continuous everywhere. c =

A: Here, the given function is: f(x)=x2-4, if x≤c10x-29, if x&gt;c To find the value of c such that the…

Q: Find the constant a such that the function is continuous on the entire real line. (5x2, ах — 3, x 2…

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Q: Is the function continuous  f(x) = e^x / 1 - e^x

A: We need to check the continuity of the function

Q: Sketch the graph of a continuous function y = f(x) such that : a. g(2) = 2,0 2, and g'(x) →-1* as…

A: (a)  Find the behavior for g (x).

Q: The interval over which the function f(x) = becomes continuous is %3D x+8 (-3, 0) (-3, 3) (-00,…

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Q: Determine whether the function 2х + 1 f(x) %3D 2r2 2x2 – x – 1 is continuous: a. at 2; b. at 1.

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Q: ) For what value of a is fx² -1 x<3 S(x)= { |2ax x23 Continuous at every x?

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Q: Find the value of a such that the function S(«) = {** -1, x < 3 x 2 3 | f(x) = 2ах, is continuous at…

A: Given:      f(x) = x2 - 1  , x &lt; 3     f(x) = 2ax  ,   x ≥ 3

Q: Suppose that the function f: [0, 1] in R is continuous and thatf(x) &gt; 2      if 0&lt;=X &lt; 1.Is…

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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 all values of a such that f is continuous on R: |x + 1 if x a

A: For a continuous function LHL ( left hand limt) should be equal to RHL (right hand limit)

Q: Use the intermediate value theorem to show that f(x) = e-x2− x has at least one root in the interval…

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Q: Find c such that the function x ≤ c { is continuous everywhere. f(x) = x² - 3 X 6x 12 x > c -

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Q: Find c such that the function 10 I C - is continuous everywhere.

A: A function f(x) is said to be continuous at a point x=a if limx→af(x)=f(a). That is, a function f(x)…

Q: Find the value of c such that the function is continuous on the entire real number line. f(x)=…

A: Topic = Functions

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: If f(x) = a #0 and f is continuous, the value of k is 2x k x = 0 o 1 o 1 2 1/2

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Q: Show that the function f(x) = 1 – I - x² is continuous on the interval [-1, 1].

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Q: If f is a continuous function and F'(x)=f(x) for all x € R, then - x)dx=?

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Q: Find m so that f(x) is continuous at x = 2. x +4 if x 2 -

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Q: Find the value of c such that the function is continuous on the entire real number line.

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Q: Suppose f(x) = 2=*_ 3z-2 Which piecewise function redefines f(x) as a continuous function? %3D I-2…

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Q: Find the value of c so that f(x) is continuous at x = 3? x2 f(x) = x 3

A: Given query is to find the value of c.

Q: The function f(x) = k is continuous.

A: Given f(x) = k

Q: Draw the graph of a continuous function f(x) where f(-2) = 0, f(2) = 0, but there is no value c€…

A: Given: f(-2)=0 ;     f(2)=0but there exists at least one c∈-2, 2…

Q: øz (@) is a continuous function of o in the range -o < @< ∞.

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Q: Find a value of k making h(x) continuous on (0, 5). 0 < x < 2 2 < x < 5 h(x) = x +1,

A: A function is continuous if limx→a+ h(x)  = limx→a- h(x) = h(a) Now in the given question, function…

Q: Use the e-d definition to prove that f(x) = x³ + 3 is continuous at xo = 3.

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Q: Find c such that the function x c is continuous everywhere. x² – 8 f(x) = {

A: ANSWER : c = 5