Find a value of x, if any, at which f (x) = Vx – 64 is not continuous. ff(x)is continuous for all values of x, enter NA. II

Q: If f is continuous and q and h are differentiable functions, find a formula for d ch(x) f(t) dt dx…

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Q: Construct an antiderivative for each of the functions below. *An antiderivative for f is a function…

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Q: The pdf of a continuous RV X is given by: f(x)=12xf(x)=12x ,„XE[1,e2]x=[1,e2]. 1. find P(x>10) 2.…

A: Given Data : Probability Density function of continuous random variable X is given by :…

Q: Consider the functionsƒ(x) = sin x and g(x) =4∏2 x(∏ - x).Compute and compare the average values of…

A: Average value of f(x)=sinx on [0,π] is given by: Average value of f(x) is 2/π.

Q: 3 Let f(x) = 2 + In(bx), where b is a positive constant. Find f'(x).

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Q: Let L{f(t)} F(s) and is a real constant. Then, 27- L{F(s-a)} =? On taf(t) OD f(at) Oo t"f(t) OD e…

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Q: 45. For what value of a is Jx? - 1, x< 3 | 2ax, f(x) x2 3 continuous at every x?

A: Given: fx=x2-1,x&lt;32ax,x≥3 We know that given function will be continuous at every value of x, if…

Q: Find the Wronskian for the set of functions.{e3x, sin 2x}

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Q: Find the most general antiderivative F(r) of the function f(x) in each part: a) f(r) = 12r3 +4VT- e…

A: To evaluate antiderivative F(x) of the function f(x)=12x5+4x-ex+1 We know that∫xndx =xn+1n+1 +C ;…

Q: Determine frx and fry for the function below: f (x, y) = x²y + y cos x – e*y In((y) + 7. -

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Find the antiderivative F(x) of function F (x) = 3 such that F(1)=0. r4

A: Anti derivative: ∫F(x)dx = f(x)

Q: Find the value(s) of k that makes the function continuous over the given interval. 0 sx s2 2 < x s…

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Q: Let f(x) be a function given by f(x)= { (a) Prove whether f(x) is a Dirichlet function. = for Tx<0,…

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Q: \+etari), find f.. S, and f.- xyz 3. If f(x,y,z)= hn 2

A: We have to find fx , fy , fz.

Q: Find the linear approximation L(x) to y = f(x) near x = a for the function.  F(x) = (1 / x) , a = 2

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Q: Find all antiderivatives of function:  f (x) = e-3x

A: Consider the given function. fx=e-3x We have to find  I=∫e-3x dx   Substitute -3x=u -3dx=dudx=-du3

Q: Find the local linear approximation L (x)of the function f (x)= x² +3 at x = 1

A: Given that: f(x)=x2+3

Q: 2. If f is a continuous function such that S(t)dt = cos(2x)e* - [e s(t)dt for all x, find an…

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Q: Q2/ Find the dirivative for the follwing function y = cosh(x)/ln(x)

A: Given: To Find:

Q: X has pdf f(x) = { TP if 0 <x < a 0 o therwise where p = 10. Then on the interval [0, a], the CDF…

A: The CDF F(x) is defined as  F(x) = P(X ≤ x)

Q: Find the average of the given function on the given interval. (a) y = cos x, [0, 3π/2] (b) y = x² +…

A: a) y=cos x, 0, 3π2b) y=x2+x+1, 0,1

Q: X has pdf f(x) : TP if 0<x < a 0 otherwise where p = 10. Then on the interval [0, a], the CDF will…

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Q: The function f' (x) is graphed above. Over which values of æ is its antiderivative f

A: Given that: Graph of f'(x)

Q: Find an antiderivative F(x) of the function f(x)%3D7sinx/12+cosx such that F(0)=1

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Q: the guotient f(xth) f(a) where h is cortont.

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Q: For f(x) = Vx ln x, find a). domain and f', b). the intervals on which f is increasing or…

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Q: 3.Find the linear approximation to f(x) = cos x at x, = ÷ and use the linear approximation to…

A: We will use formula for linear approximation.

Q: 3) Find a value of c for which f(x) is a pdf on the indicated interval. Q11 f(x) =, [0, 1] 1+x2

A: We know that the total probability is always 1. Using that we get:

Q: d lim g(q)d q→7 (dg

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Q: Find an antiderivative F(x) with F ′(x) = f(x) and F(0) = 5. f(x) = 6e3x

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Q: Show  that the function Z =1/2(eysinx - e-ySin(x) satisfies the La Place’s equation  =0

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Q: 2. Find and classify all the extrema of the function f (x, y) = 4xye e-(x²+y²)/4

A: The given function is:  f(x,y) = 4xy e-(x^2 +y^2)/4

Q: 50 if x E Q 1 if x € R\ Q Let f(x)= Prove that y=f(x) is not continuous at any points a E IR.

A: Take p ∈ Q and let (xn) be a sequence of irrationals converging to p. Then f (p) = 1 but f (xn)→ 0…

Q: Consider f(x) - x In x. The step size, h, of Trapezoidal rule required to approximate ) dx within an…

A: Given: fx=xlnx Then, f'x=x1x+lnx=lnx f''x=1x Now observe that f''x≤1, for all x

Q: Consider the function f that is continuous on the interval [-5, 5] and for which ſ ƒ (x)dx = 4.…

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Q: The cdf of a continuous RV X is given by F(x) = 0, x x 5- = 1, x 2 3 Find the pdf of X and evaluate…

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Q: let X be continuous r.v. with pdf f(x) = kx2 where 0 ≤ x ≤ 1 . Find k then use it to find E(x). What…

A: We have to find value of constant and then mean.

Q: [ 2 sin(;) 15. Given that f(x) =- ki, is a continuous function at z = 0, the value of k is x = 0 B !…

A: A function f(x) is continuous at x=a, if right hand limit = left hand limit = function value at x=a…

Q: Find F as a function of x and evaluate it at x = 0, x = t/4, and x = n/2. %3D %3D F(x) = cos 0 d0

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Q: Determine the value of m such that the function x- y - 5 E + 5 VI - Vỹ f(x, y) = is continuous at…

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Q: w(x) = |x + 1| m at x = 1 Select the correct response: Continuous Continuous

A: For continuous function LHL is equal to RHL and function values same

Q: Find an antiderivative F(x) of the function f(x)= 7sinx / 12+cosx such that F(0)=1.

A: Now,

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…

Q: Find an antiderivative of the function f(x)=e2x.

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Q: a non zero valie for the constant k that makes the fmction ww m tan(kx) x< 0 f(x) = 3x + 2k?, x 20…

A: To find a non zero value for the constant k that makes the function…

Q: [a, b]. If F(x) is an antiderivative of f(x), for real numbers ¤) + k]dx is equal to

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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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