Let X be a r.v. with p.d. f. ,x = 1,2,3, ... f(x): e.w. The value of a is: N I3

Q: Given U(x; y) = In(1+ xy³), show that 2! dxðy

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Q: function f is defined by f (x) = |x – 2|- 3. If f(a) = f(0) and a > 0, what is the value of a ?

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Q: If X = x „then W(x1(t), x,(t)) = 10 Select one: O a. ce- а. O b. ct C. c t? d. ce'

A: We will use basic knowledge of Wronskian for a II order linear homogeneous ODE. WE convert the above…

Q: Evaluate / F. dr.

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Q: Let f(x, y) = mxy², where m is a constant. Find a value of m such that ff f(x, y) dA = 9, where R =…

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Q: Show that f[x0, x1, x2] = f[x2, x1, xo].

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Q: Let X is p.d.f,f (x) = k(2 - x) 0 <x < 2, then the constant k = ..... A) 1 B) C)를 D) 2

A: We have given that,  X be the random variable having probability density function f(x) = k(2 - x),…

Q: A small town is built around a circular pond that has a radius of 1km. The population density of the…

A: Given that: Radius of pond, r=1 kmPopulation density=f(r) per sq. kmr =distance from centre of pond.

Q: Assume that d and e are constants and, 3 - f, if f <1 ) = { df²+ef. { z(f) = if f < 1

A: I am going to solve the given problem by using soem simple calculus to get the required result.

Q: et z = r²y – ry², I = e *,y= e*, then which of the following is O a. 2et + 2e 2t O b. 0 OG -2e4 – 2e…

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Q: Let u = (-3, 1) and v = (0,3). Compute the following: u.v= • = | | i|| 2 = −1 (u · v) • (−1ū) · v ū⋅…

A: Step 1:Step 2: Dot Product (·):The dot product measures how much two vectors are aligned with each…

Q: Find fr and fy for f(x, y) = (1+2 – 2y)e"+2y 2y)e+2y

A: Given: - The function is, f(x,y)=(1+x-2y)ex+2y To find: - The value of fx and fy.

Q: When using the Lagrange interpolation formula. Which of the following items must be met

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Q: Find a value of c so that P(Z ≤ c) = 0.65.

A: According to the given information in this question We need to find the value of c such that P(Z ≤…

Q: 1 d. p(0) [Note that p(0) : к (0)

A: It is given that rt=sint, t, cost. Recall the formula for the curvature, κt=r't×r''tr't3. Obtain the…

Q: Evaluate F.dr where c is defined by r(t) =; 0≤t≤ 2π

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Q: 3. Let f: R³ R be defined by f(x, y, z) =|| x ||. Find Vf(x, y, z). What is the domain of Vf?

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Q: Findimplicitly . 2る and.. 2メ り 6.xe+ッZZ=.. あ

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: Find ||F||. F(x, y, z) = i + j + k

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Q: Given a p.m.f. of x as below: (e-33x f(x) x = 0, 1, 2, ... = x! 0 O. W and y = 2x, then the p.m.f.…

A: In question, We have given the pmf of random variable X and Y = 2X then we'll find the pmf of Y. The…

Q: ! Given a p.d.f. of a c.r.v. x as follow: f(x) = {3x² 0<x< 1 " 0. W y = 3x, then the p.d.f. of a…

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Q: Let Z - N(0, 1). Find P(Z < 2). Question Help: D Post to forum

A: Given that, Z~N(0,1)

Q: If X=t X ,then W(x,(t), x(t)) = 1 0 Select one: a. Cet

A: Given that : X'=1tt10 The determinant is : X'=1t0-t.1=-t The Wronskian is given by ,…

Q: Let w = f(x, y) with f E C² and x =h – kh, y = 4k. Which of the following statements are true?…

A: To find  Which of the given statement is true.

Q: Let ā = (1, 5) and 6 = (3,0). Find —ã – b. - - V Λ

A: Answer: &lt;-4,-5&gt;Explanation:For any query with the solution please ask in the comment box.

Q: Q5.Given that W = f(x.y.z)% x+2y+, find : aw aw in terms of s and r, if and x=, y=r +Ins, =2rr.

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Q: Let f(x, y) = x(y - 3) and F = Vf. If r = with 0 ≤ t ≤ 2, then [F. dr is equal to: a. -7 b. -11 c.…

A: We find the line integral in the following way

Q: What is the least accumulative cost from cell course (0) to cell X? a b 1 3 4 d e f 4 7 3 9 10 |3 h…

A: the number of rows = 4 and columns = 4   1 2 3 4   A 1 3 6 4   B 4 6 7 3   C 8 9 10 3   D…

Q: D a. 0.4 O b. 0.1

A: The mean given is 0 and standard deviation is 1. The probability given is, Px≤k=0.8. which means it…

Q: Let f(x) = VT, 9(x) = ,. , andh(x) = x². (h o ((h o go f) – f)) (4) = %3D 5-x Select one: a. 4. 81…

A: let f(x) = x , g (x) = 45-x and h (x) = x2f (4) = 4= 2g (f(4) = g2= 45-2= 43h (g(f(4)) = h 43=…

Q: Let f(x,y) = In (x³y). If fx(6,2)=fy(5,a) what is the value of a? а. 1 O b.-1 O C. 0 O d. 2 O e. -2

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Q: If f(x, y, z) = xy + z?x - 3yx z?, find fxy ?

A: If fx,y,z=xy+z2x-3yx2z2 Find fxy ?

Q: If |z-8 <, and ly-히 < , then a - y < 1. 2'

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Q: ® let the functions: 4:R-A gR-R,with こXe2 Prove that: Tx(4g) =4Vxg +CVf)xg

A: Given two functions: f(x,y,z)=x2eyz3, g(x,y,z)=(x2z2,-xyz,y3ez) To prove  ∇×(fg)=f∇×g+(∇f)×g

Q: L. (10 pts) Given the function (x) on each of the following i a. [1, 2] b. [1, 17 c. [1,- 16

A: Given function - f(x) = 2x-1Average rate of change of a function is given by the formula =…

Q: 3. Let f (x) = x ² + 8x + 14. Find all the values interral C-G ,2) such that f (c) = 0 of ċ in the

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Q: 7. ) Let f: N→ Z with f(n)=n+4. Let A = {1,2,3} and B = {1 € Z \ I <10). Use these to find the…

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Q: 4. If f(x, y)=: Vx² +y? 1 , find f, and f,.

A: Given data is : fx,y=1x2+y2  To find fx and fy

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.