Given the following: Y y=x? and x+y=1 intersects at (0.618,0.382) 1 A point is equally likely to fall anywhere in the area, (xy): 0

Q: OLLOW-UP UESTIONS sn't it qual to Step 1:- We can create the probability distribution table for the…

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Q: Q5: a. Find * and for u - p=x+y+z ,and q = x+ y+ z, and r=x+y-z, at the point (x,y, 2) = (v3, 2,1).…

A: a)                          u=p-qq-r                             p= x+y+z;…

Q: Let fxy (x, y) = 6 (x – y) , 0 < y < x < 1. If E (X) = , E (Y) = Cov (X, Y) = then %3D

A: Given,fXY(x,y)=6(x-y) ; 0&lt;y&lt;x&lt;1E(X)=34E(Y)=14

Q: U. 1-1,0, 1} x {-1,0, 1}. Prob for all x E R. Explain why f is not a homeomorphism. . Let f: R → R…

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Q: 28. Evaluate by Green's theorem (x - cosh y) dx + (y + sinx) dy, where C is the rectangle with…

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Q: Which of the following sets are linearly dependent in (-co, co)? S1 = (x, sin x, cos x} S2 = (sin…

A: We first find the Wronakian for each given set of functions and then evaluate the value of Wronakian…

Q: xy If z show that: x- y

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Q: 1. Let X1,. , Xn be iid N(0,0), and Y = E X}/n. ... (a) Find EY. (b) Find Var(Y).

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Q: 3. Find the coefficient of xy' in (2x + 3y)°.

A: The provided information is we find the coefficient of  x2y7    in (2x+3y)9 Then, (79)*(2x)2*(3y)7…

Q: Use the method of least square to fit the curve : y=co/x +C₁Vx to the following table of values 0.4…

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Q: ow the processs on separating the variables of the given DE ich that all terms containing x must be…

A: Remark: A first-order differential equation is said to be separable if dy/dx = f(x, y) , the…

Q: Find fy, fy, and f,, and evaluate each at the given point. X' Z' f(x, y, z) = xy + 2xyz – 8yz, (-3,…

A: Using partial differential equation, we can find required results

Q: (i) Find the covariance of Y1 and Y2, Cy, Y,

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Q: Make sure to show the correct work and solution:   Suppose P(X = 0, Y = 0) = 1/3, P(X = 0, Y = 3) =…

A: We can create the probability distribution table for the given information.  P(X,Y) X=0 X=6…

Q: Find fzya. 4.73 f(ar, y, 2) = a*y"z³ + xy$ + y®z .6 zyx

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Q: 2. Evaluate dx + (-xy + x²) dy along C: y² = x from (0,0) to (1,1).

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Q: 2. Show that the equations f(r, y,P. q) = 0 and g(r, Y.P. q) = 0 are compatible if %3D %3D a(f,g)…

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Q: The data are: Xi: 0, 0, 2, 1, 1, 1, 0, 1, 0, 3 You ask one of the interns in the team to pull the…

A: Given Data : Xi: 0, 0, 2, 1, 1, 1, 0, 1, 0, 3 Count, N: 10 Sum, Σx: 9 Mean, x̄ = Σx/N 0.9…

Q: 2- is the D.E:(3x² + y cosx )dx + ( sinx-4y )dy = 0 | a- - Exact b- linear D.E (show that)

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Q: Find the follaing clifferential equation dy tay dx² : (05(3x) -I5x +7+eX Find a Sdlution n such that…

A: Solve by variation of parameters.

Q: Find local extrema of function z(x, y) = 2(x - 9) - 6(y+8)² +5xy -9x+ 8y.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: SSS zdV Q3: Evaluate E + y² + z² = 1 and x² + y² + z² = 4 in the upper where E lies between the…

A: We have to evaluate the integral ∭EzdV, where E lies between the spheres x2+y2+z2=1 and x2+y2+z2=4…

Q: Consider the bivariate function f : ACR? → R : (x, y) → f(x, y) = ln(4x² + 2y – 6), %3D with A =…

A: As per the question we are given the following bivariate function : f(x,y) = ln(4x2 + 2y -6) And we…

Q: find the value of f(x)+ f(ax) + ...f(a°x),Independent of a i2p 20 If a= e and f(x) = a, +2A,X* 7 k=1

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Q: Find an analytic function f(z) = u(x,y) | iv(x, y) whcre u(x, y) = c²x cos(y) c²y sin(y). %3D %3D

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Q: Q2: Expand f(x,y) = [sin (x y*)]² about (, 1). %3D Q3: Given T(u) = sin (u), where u = Vx² + y²,…

A: Here I am giving answer of 1st question is you  want answer of second question repost  the question…