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

Q: (i) Find the covariance of X and Y

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Q: Solve by Chain Rule f(y) = /2y + (3y + 4y²)³

A: Given that       f(y) = √{2y+(3y+4y2)3}

Q: Find and ds using the chain rule: W = x? + y?, x = s+t, y = s – t

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Q: Use chain Rule to find for 2. y = . +x²+x+1 I.W | 3. y = estn 3x Н.W

A: We have to find dydx using chain rule for the given function: 2.  y=1x3+x2+x+13.  y=esin 3x We know…

Q: () Find the covariance of X and Y

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Q: (x²y+2xy² x2+y2 (x, y) + (0,0) f(x, y) = %3D (x, y) = (0,0)

A: If the function is to be continuous at (0,0), then its limit should be equal to f(0,0) irrespective…

Q: Show: Cov (X,Y) = E[X(Y – μY)]

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Q: (2xy+ 3x2)e, +(x² – 2yz + 2y)e,- (e2 + y?)e, olan f(x, y, z)

A: Given that the function is

Q: à = -3x+ 2y, ÿ = x – 2y i = -3x+4y, ý = –2x + 3y i = y, ÿ = –x – 2y

A: In each problem, phase portrait is drawn by standard graphing calculators and eigen values and…

Q: y = C,e¬x + C2e¯-2x + x y = C, + C2e³x

A: See the details solution in below

Q: (b) x' = -x – 3y + 2z + yz, y' = 3x – y – z + xz, z' = -2x + y – z + xy.

A: As per your query the solution of the part (b) has been done in detail in the following steps.

Q: Find Cx(x,y) if Cx(x,y) = 2x2 + 7xy - 9y2 + 4x - 9y - 6 Cx(x,y) = ?

A: Let's find.

Q: z(y" – y') – (y" – y) = 0, 1 y(0) = 1, y'(0) = 3.

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Q: Z. WY = %3D

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Q: What is the solution of the given ODE xy' + y = Vx

A: Given: xy'+y=x

Q: Why is e^x^3 using the product rule instead of the chain rule??

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Q: u = x² + y³ + z*, X = s•t = s2 +t2 y = z = s-t

A: We find complex function

Q: xy' + y = Vx %3D

A: Introduction: A first-order linear equation is of the shape y'+p(x)y=q(x). The integration issue of…

Q: d.A, A = {(x; y) E R² : y € [0, 1], x € [y², e-]}

A: Given: I=∫∫A1x34dA   A=(x,y)∈R2: y∈0,1, x∈y2,e-y

Q: Find E(X) E(Y) covariance(X,Y) var(X+Y) X 6 X 2 Y =10 0.3 0.3 Y = 5 0.4

A: We want to find E(X), E(Y), V(X), V(Y) and Cov(X,Y)

Q: f (x, y, z) ) = x² + y² + z²; x* + y* + z* = 1 2. 4 || ||

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Q: how can i find the vectorial equation for d1:3x/2=y-1 and d2:?x+y-6=0

A: Given: vector equation for  L1:   3x/2=y-1 l2  :   x+y-6=0

Q: f(x, y) = x* + 2y³, R = [1, 2] × [2, 3]

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Q: W= x"+y+Z",

A: This is a problem of partial differentiation. Based on the general formula of PDE we will solve the…

Q: z = xy³ – a²y, x = t² + 1, y = t2 – 1

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Q: of xy subject to x +y =

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Q: m csCX -s メラ0

A: As per guideline we have to do one question..since the ist two questions is incomplete so I have to…

Q: Use the chain-rule and find x and y in terms of x, x, and if: a) y= 4x b) y= 10x

A: We only solve one problem at a time so please ask them one by one.

Q: e) u(x,y) =/(x2 – y²) %3D

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Q: Find: 군x, 군y, Zxx , 군ys, 군xy, 2sx = X+y Xy-1 Z =

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Q: uO The correlation coefficent is found to be 0.567. We can say that the relationshp between the high…

A: The obtained correlation coefficient between high daily temperature and number of traffic accidents…

Q: I need help with part c - covariance of xy.

A: Reviewing information, X & Y are r.v.s P(XiYi) X Y 0.8 100 300 0.2 300 100

Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = e-xyz

A: Given fx,y,z=e-xyz Partial derivative means differentiating with respect to one variable keeoing…

Q: (a) y/" = –4y + e2; (b) y" – 4y' + 3y = e² ; (c) y" = y + e² cos(2æ);

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Q: g(x, y, z)

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Q: Solve by Chain Rule f(y) = /2y + (3y+ 4y²)³

A: Chain Rule of differentiation :      If f(y) and g(y) both are differentiable function and F(y) is…

Q: y fa(4y) -1.0 -2 1/8 -0.5 -1 1/4 1/2 1/8 0.5 1 1.0 2 Find the E (X), E(Y), V (X), and V (Y). 2.

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Q: Find the correlations in the constants a, ß, y, 8, e, and such that the equation (ax? +Cxy + ey²) dx…

A: The given differential equation is                         αx2+ζxy+εy2dx+βx2+γxy+δy2=0 We know that…

Q: Find the solution. (D5 - 2D3 - 2D2- 3D - 2)y = 0. y =c,e+ce+c,e²r+c,cosx + c zsinx y =…

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Q: {(x,y): y=e}; {(x,y):y2e²}; (x,y): xy ≥ 1, x>0, y > 0.

A: This is a question from a real-valued function.

Q: Cov(X,Y)=E(XY)+E(X)E(Y) صواب خطأ

A: False

Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = xy + yz + xz

A: Given: fx,y,z=xy+yz+xz

Q: f(x, y) = e* +xIny+ylnx

A: This question involves partial differentiation  Solved below

Q: F(x,y) =1/8 (6-x-y) 0<x<2,2<y<4 = 0 othérwise How to Calculate Var(X), Var(Y), Cov(X, Y) and…

A: We have joint pdf of X and Y so we have to find Variance of X and Y also we have to find covariance…

Q: Find 2 by using the Chain Rule with y as a composite of dx y = csc(u), u = x3 + 2. %3D

A: Given: y=csc( u) , u=x3+2  To find dydx

Q: 4) Determinė the equation of the tangent to f(x) = -x² + 3x+1 that is perpendicular to the line x+2.…

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Q: Vy. (ii) SS x²y dA , E:x = y² and x =

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Q: 9 Find if y = 7x by using the Chain Rule with y as a composite of the following. dx a. y = 7u° and…

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Q: y"+3y"- 3yl-y=x+e" -y%3Dx+e

A: