S mx 14 if x < - 8 - Let f(x) = x2 + 4x – 6 if x > – 8 - If f(x) is a function which is continuous everywhere, then we must have

Q: Find the value k that makes the function continuous. (ka?, x > -2 f (x) kx + 18, x < -2

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Q: Suppose that f( is a continuous function. If f(#) da=4, then what is the value of T - f(x)] dæ ?…

A: To evaluate the given definite integral.

Q: Let f(x)={mx−17 if x<−10               {x^2+3x−7 if x≥−10 If f(x) is a function which is…

A: Topic = Functions

Q: Q3) For what values of a and b are ax + 2b , y =x? + 3a -b, (3х -5, 0 2 Continuous at every x ?

A: Equate at given value

Q: 1srs0, then (i) Test whether the Rolle's theorem holds for the function f(x)=D< In 0<xsl the…

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Q: Q3) For what values of a and b are ax + 2b , y = x? + 3a -b, 3x-5, x 2 Continuous at every x ?

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Q: Find numbers a and b, or k, so that f is continuous at every point. x2, ifx s5 f(x) = kx, ifx>5

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Q: Find Fxxygy for the function Fory)-J*J€nx-x]

A: We havr to find the derivative.

Q: 4x + 4 if r 8 36 if r= 8 Is f(x) continuous at z = 8? O Yes • No Cannot Be Determined

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Q: 3) Determine A and B that makes the function continuous as x approaches 0 and 1? y A x>1 x-B x<0

A: Given:           y=x2                  0≤x≤1A                   x&gt;1x-B             x&lt;0 Given…

Q: S 4r – 6 if z 10 If f(x) is a function which is continuous everywhere, then we must have

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Q: x+k², ifx < 2 What value(s) of k will make f(x) = - continuous? %3D |kx + 10, if x 2 2

A: If the function is continuous then left limit is equal to right limit

Q: 54. Is the function given by SEx + 4, for x s 3, 2x – 1, for x > 3, g(x) continuous at x = 3? Why or…

A: The given function is;  g(x)=13x+4for x≤32x-1, x&gt;3 we have to check the given function is…

Q: if x3 is continuous at x = 3

A: Given query is to find the value of c so that function is continuous at x = 3.

Q: -Q3/As the function f(x,y) = at (-1,2) xy 1 + x² + y² is Continuous

A: Here we have to check the continuity of the function at the given point.

Q: Sx+2, if x 1 Value of k that will make f(x) continuous on (-0, 00) is ....

A: K=3 makes f(x) continuous.

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

A: Explanation of the answer is as follows

Q: Evaluate f (x): at x = -2. %D 1 - x2 Select one: A. Discontinuous B. Continuous

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Q: 5. Find interval where the following functions is continuous. a). f(x) = Vr +1 b). f(t) = r+3 47-1

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Q: f(x) = Vx-3

A: Given function is fx=x-3.

Q: O For the function $(x), fla) i defined and lem f Gx) exuts, when is fG) continuous tメO

A: Definition of continuous function: The function f(x) is continuous at x = c when: i) f(c) is…

Q: Find the values of a and b so that f will be differentiable at x = 3.

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Q: Consider the following. S-3x, f(x)={2 - 2x+ 9, x > 2 Find the x-value at which f is not continuous.…

A: We will find the value of x at which the f is not continuous and whether the discontinuity is…

Q: 14. Consider the following function: if - 10 SIS0 3. h(r) = {15x - 3| if 0<<4 2r +1 if r24 What is…

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Q: 4ex +x-k if x 0 be continuous everywhere?

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Q: | mx — 11 if x < - 6 – 6 - Let f(x) l x2 + 4x – 5 if x 2 - 6 If f(x) is a function which is…

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Q: S(x) = 7x* – 1x* +2. | Use interval notation to indicate where f is continuous. Domain of…

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Q: x2 – 1, if x 1 Let f(x) (a) Is y = f(x) continuous at x = 1? (b) Is y = f(x) continuous at x = 2?

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

A: Given that the function f(x). Here we find the value of a and b to make f is continuous everywhere.

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 ax + 2b , y = {x? + 3a -b, (3x-5 , 0 2 Continuous at every x ?

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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…

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Q: when x # 1 9: Show that f(x) %3D 2 when x =1 is discontinuous at x = 1

A: The given function,   fx=x2when x≠12when x=1

Q: Sx? -1, x <3 f(x) = Continuous at x-3 ? (2ax , x 23

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

A: See the attachment

Q: Aen vity # 2 BLs auss ME! t) flx):1 Xスー 2.

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Q: H.W Ex 4: if f (x) = where is f(x) continuous, and where it is discontinuous ?

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Q: Find the values of the constants a and b, that make (ах + b, ifx3 Both continuous and differentiable…

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Q: Q2 Evaluate whether the function 1-xy if xy # 1 z = x-y if xy = 1 continuous at (1,1) or not.

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Q: Determine whether the following function is continuous at the given point z= 22 +9z – 5 f(=) = 2x-1…

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Q: 4. `s.] Find the number a and b at which f is continuous everywhere? x² -1 if x 2

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Q: 1. Explain what it intuitively means for function f(x,y) to be continuous in some domain D.

A: To explain the meaning of the given statement.

Q: | mx 11 if r - 3 If f(x) is a function which is continuous everywhere, then we must have m =

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Q: Q21 A\ Are this function continuous f(x) x³-1 at xo = 1?

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Q: H.W Ex 2: Determine if the f(x) is continuous at x = 3 ? [x² – 1 f(x)=- |x² + 2 at x=3 at x+3

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Q: mx – 11 if x – 4 If f(r) is a function which is continuous everywhere, then we must have Preview

A: A function f(x) is continuous at a point x=a, if, limx→af(x)=f(a).

Q: Q3) For what values of a and b are ax + 2b , y = x2 + 3a -b, 3x-5, 0 2 Continuous at every x ?

A: We will check continuity at breaking points of the function. For continuity , left hand limit and…

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

A: