Find a value of x, if any, at which f(x) = Vx – 8 is not continuous. If f(x) is continuous for all values of x, enter NA.

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Q: #46

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A: According to question given thatf(x,y)=ln (x2+y2-4)

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Q: Suppose f" is continuous everywhere. For any constants a and b, show that xf" (x) dx = bf" (b) –…

A: Explained below

Q: Find a value of x, if any, at which f (x) = Vx – 125 is not continuous. If f(x) is continuous for…

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Q: State the interval(s) over which the function f(x) = V16 – x² is continuous.

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Q: "For a continuous function f(x), defined on an interval a , b, we have d f(x) dx = f(x), dx a…

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Q: Consider the function xy f(x, y) x²+xy+y² k if (x, y) = (0,0) if (x, y) = (0,0) State, with…

A: Given :  f(x, y) = xyx2+xy+y2if (x, y)≠(0, 0)kif (x, y) = (0, 0) To find : The value of k if it…

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A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: Let X be continuous with pdf f(x) = 3x² if 0 <x< 1, and zero otherwise. Find: (a) E(X). (b) Var(X).…

A: The pdf of X is given by f(x) = 3x2 if 0 &lt; x &lt; 1 Note : According to our guidelines we are…

Q: Find a value of x, if any, at which f (x) = Vx – 64 is not continuous. ff(x)is continuous for all…

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Q: Given a continuous function of which is twice differentiable, if f" (c) > 0, which of the following…

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Q: Find an antiderivative F(x) with F′(x)=f(x)=11+24x^3+21x^6 and F(1)=0. Include a "+C" if…

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Q: Let g(x) = kf(x) for all x E/= {x: asxsb}. Show that Jglx)dx = kJ f(x)dx if k<0.

A: To prove the above result we use the definition of lower and upper Riemann integrals. For the proof…

Q: For what value of b is Sx, g(x) bx?, x 2 -2 X<-2 continuous at every x?

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Q: Consider the For at function y= In(x+1) . what valves" of x is y undefined ?

A: The given function is y=ln (x+1) We know that, for the function ln x, x&gt;0

Q: Let f(z) (x-iy)e- ) Determine the points at which exist, and find r(2) at these points.

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Q: Find F as a function of x and evaluate it at x = 0, x = 1/3, and x = T/2. F(x) = cos e de F(x) =…

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Q: Consider the function xe* if x < 0 g(x) = x³ – 2x2 + x if 0 < x < c , %3D if x 2 c where c is a…

A: Given,gx = xex                            if x≤0x3 - 2x2 + x          if 0&lt;x&lt;c1x…

Q: Find the local linear approximation L (x) of the function f(x) = 5 – x² at =2.

A: To find the linear approximation of given function.

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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)…

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A: We can use the concept of method of substitution in order to solve the given problem.

Q: 6. Let f be a continuous function such that f (x) dx = 9 and f(x) dx = 13. J5 What is the value of |…

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Q: Find the linear approximation L(x)of f(x)=x^4 at the point a = −5 L(x)=

A: Given that f(x) = x4 We have to find the linear approximation L(x) of f(x)=x4 at the point a= -5.

Q: If f is continuous and f(x)dx = 4, find So xf (x?)dx. %3D

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Q: a) Find the values of α and β such that the function f(x) = ( α cos x + 2 if x < 0 βe3x + αx2 if x…

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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) ,x € [-27, 2n] is continuous on: 1-cos x

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Q: (2) Is the function f(x) : R → R, sin a 1 ifa # πh,k & Z, ifa = Tk, k ε Z f (x) Borel measurable?

A: Consider the given function, fx=1sinxifx≠πk,k∈Z1ifx=πk,k∈Z   Thus, the given function have infinite…

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Q: Let F(x) be the antiderivative of F ‘(x) = -2x + 6, with constant 0.  Determine F(x), and then…

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Q: Give a formula for f(x) given that f is continuous and 2 x +x* + 2 = f (t) dt t+ 2

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Q: Find F as a function of x and evaluate it at x = 0, x = T/4, and x = T/2. F(x) cos 0 do F(x) F(0)

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Q: For all continuous function f: [0, +o] → R, a > 0 we need to prove that 2*f) dx = [ xfw)dx

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