Let X and Y be jointly continuous random variables with joint PDF is given: f X,Y (x.y) (1+x²y) tco,l) a) I co,2) Cy)

Q: Fxx is correct but Fxy is not 0.

A: The given function is f(x,y)=x4-5xy3+6y5 We have to find the fxx(x,y) and fxy(x,y)

Q: Differentiate. x3 7) y = X- 1

A: Given : y = x3x-1

Q: If 21 = (2, -1), z₂ = (6, 3), find 2₁ 22 - 22.

A:

Q: iate ſ In(x + v1 +x²)dx

A:

Q: 1/6 aresin(3) dx =

A:

Q: If f(x) ' (1 ) cos (x)

A: We have f(x)=xcosx. So,            f'(x)=xcosx'            =xsecx'            =x'secx+secx' x…

Q: Evaluate : dx O X+4

A:

Q: Let A = (-0,0), B=(0,0) then AUB=

A:

Q: 3. . хр x*dx V(x2-9)3

A:

Q: Find u•v

A: As   u = -12,2         v = 1,6   So,  u→=-12 i+2 j        v→= i+6 j

Q: bag

A:

Q: tnx Find if u=5 y=

A: The expression of dydxfor the following function needs to be evaluated : y = ln(x)x5

Q: X*+y dydx

A:

Q: S 2y(yª – 4)¯³ dy

A:

Q: Qil If y , Show that y=2x- 2y3

A:

Q: giver yn f(५) ५) -2x + 3, + 2, find of ax

A:

Q: Y/9-2/5=1/3 Show also the checking

A: Solve and check the equation Y9-25=13.

Q: e*Vex-1dx ex+3

A:

Q: Determine the length of x = 3+ (y – 2)², 4<x< 19

A:

Q: (-32 - 4z + 7) – (22 - 3z + 7) = -52 - z True O False

A: Combining like terms

Q: 12. Find m/R. (&x - 12) (3x + 5)

A:

Q: St¹ sin(2t4) dt

A: Given integral:- ∫t7sin2t4dt

Q: Discuss the behavior of

A: The behaviour of the given function can be determined with the help of the limit of the function…

Q: can you explain more about how you get fxx, fxy, and fyy

A: Given: The given function is Px,y=e9x+10y-x2-y2-33. Also,  Px=9-2x·e9x+10y-x2-y2-33…

Q: d(a, C) := ínf d(a, x)

A:

Q: Greaphically Convolve the fellowing twe_Signale x(t)# 2 time time 2

A:

Q: a2z If z = In(x² + y²), find a²z + dx2 ду?

A: Given, z=lnx2+y2

Q: X- (X)NI X 13g Tol tuods JadW (q )

A: Topic:- derivatives

Q: If ƒ (x, y) = x³y5 + 2xy, then what is the second coordinate of Vf? (Remember to use * for…

A:

Q: 11. Find X. (G.8A-S)

A: The triangle proportionality theorem states that the line that is parallel to one side of the…