EXY] = E[X]E[Y]. 1}) and U~U({-1,1}) are independent. Let Y = XU. e uncorrelated. e not independent.

Q: そx4

A: Given: 1-2xuy+ux=0 Auxiliary equation is  dx1=dy1-2x=du0 equating first and last terms…

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A: Given: z=xyx-y And x2∂2z∂x2-y2∂2z∂y2=0   As we know that; The Quotient rule; fg'=f'·g-g'·fg2 The…

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A:

Q: y®y' – 8y9 = ex ,8,

A: On simplification, we get

Q: NO_ANSWER NO_ANSWER NO_ANSWER NO_ANSWER 1. f(x) = x³, g(x) = |x|³ 2. f(0) = cos(30) 3. f(t) = 4t² +…

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Q: Find the point on y = 4+ x² that is closest to (1, 1). 0 (0,4) O (0.142, 4.020) O (0.545, 4.194) O…

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Q: In(1+ 5.x?) 2 – 3x Differentiate with respect to x.

A:

Q: All of the following are equidistant from the point (6,8) EXCEPT о (6, —2) 0 (-2, 12) о (16,8) O…

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Q: ди In[x²e*Y], solve ду Given u =

A:

Q: Suppose X,~ Uniform(0, 2) and X, ~ Uniform(0, X,). Find E[2X,+X,].

A: Given,X1 ~U(0,2)X2 ~U(0,X1)E(X1)=2+02=1E(X2)=X1+02=X12

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A:

Q: Let flx)=x² and! gix)-Xr4. Find (gof)は) (fog)l-5)= (gof)(-5)= こくい(6。)

A: We have to find fog(x) ,gof(x)

Q: Let X=(1,0, – 1, - /2)'. Then, ||X||, =| Select one: а. -1- V3 b. -V3 O C. 2 +/2 d. -V2

A:

Q: = Evaluate S₁2₁,22,23] f (2) dz where 21 = −i, z2 = 2 + 5i, zg 5i and f(x + y) = x² + iy

A:

Q: »[32° dx = 3x² A) 6 B) 7 C)8 D) 9 타 10 xdx A) - B) - Suppose F and G are continuous functions with…

A: We have to answer the following...

Q: Which graph corresponds to the function given? h(x) = {x², x 1

A: Here we have to draw the graph of the function.

Q: Determine which of the following pairs of functions are linearly independent. NO_ANSWER f(x) =e5 "…

A:

Q: Which of the following pair of functions is linearly independent? (a) e3*, e(x-3) (b) 4, sin?x +…

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Q: u² -v² +uv x=In", y=' (11–v)-

A: two functions x=lnuv...........(i) and y=u2-v2+uv(u-v)2..........(ii) are given. To find the…

Q: Given DEF -> WHY through a reflection across the line y = x. What are the coordinates for the image…

A: We need to find coordinates of H.

Q: 33.) Show all steps to evaluate by hand: 4-х2 Vx2 + y2 dy dx

A: We have to evaluate the double integral using polar coordinates

Q: if r'y-- 2y + 1.

A:

Q: ha)= Jo So Sin't dt

A: We have to find the given integral .

Q: Fit a linear model In(P) = In(Po) +r (t – to) through the data points %3D (ti, In(P:)), i= 0,…

A: Let the linear equation be y=a+bx. To determine the values of the constants a and b, solve the…

Q: Let X=(1,0, – 1,-/2)'. Then, ||X||2 = Select one:

A:

Q: Determine which of the following pairs of functions are linearly independent. NO_ANSWER 1. f(0) =…

A: The linear dependency of functions can be evaluated using the value of the Wronskian of those…

Q: If the equations x = u? - v and y = 2uv define u and v as functions of x and y, find and %3D O A. du…

A:

Q: 1 Let F,= (,1]. 00 Then U.Fn %3D n=1 [0,1) .A O (0,1).B O (0,00).co (0,1].D O

A: Option D is correct.

Q: Suppose that f(x, y) = -2z4+3 zy2 + 3y2, z=rcos (t) and y=rsin (t). Find af af and (write your…

A:

Q: Show that if X gamma(r, A) and Y ~ gamma(s, ) independent, are then X + Y is gamma(r + s, ).

A: X~Gammar,λ fx=λrΓre-λxxr-1,     x>0, r>0, λ>0 Y~Gammas,λ fy=λsΓse-λyys-1,     y>0,…

Q: Determine the derivative of y = 24*. A. 24x+2 In 2 C. 34x+2 In 2 B. 63r+2 In 2 D. 44*+2 In 2

A: So in this we have to do simple derivative of given so I'm providing hand written solution for this

Q: do f() dr where f() = - sin o + sin o cos o = sin ø(y cos o- 1).

A: Given dϕdr=fϕwhere fϕ=-sinϕ+γsinϕcosϕ=sinϕγcosϕ-1