Let X and Y be jointly continuous random variables with joint PDF is given: f X,Y (x.y) I co,l) a) I co,2) cy) 3

Q: Suppose Cov(X,Y) = 231. What is Cov(8.6X, 3.4Y)?

A: The objective of this question is to find the covariance of the two variables 8.6X and 3.4Y given…

Q: Solve for w where u = (0, 1, 1, –1) and v = (3, 0, –1, 2). %3D w + 2v = -4u W =

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Q: where y is the rectangle defined by a 1 -0, 5, z = 2, y = −2,9 =

A: Please find attachment

Q: Find equations for the line perpendicular to the triangle (PCQR) and through the point (P) if…

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Q: 9- (-2 J3 + ja) * Rec tangular Form

A: Any complex number, z can be written in its rectangular form as z=x+jy  . This complex number can be…

Q: Shade (A U B) ∩ (C-A)'

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Q: Suppose Cov(X,Y) = 725. What is Cov(0.72X, 0.62Y)?

A: The objective of this question is to find the covariance of the two variables 0.72X and 0.62Y given…

Q: Find u s x (xi-p)? (xi -A). -2) Xi Xi

A: To find mu^, we've to expand the given equation and solve it.  As we know, {Summation (I=> 1 to…

Q: Find u•v

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

Q: Evaluate ze -dz, where C is z+ 2 ((+2+2)?

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Q: OLet U=(2,-37, V=Fl,5), W=(4,-62 Find U•V

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Q: Let ā = (1, 3,-1) and b (-1,0, 2). What is the y-component of ā x b %3D %3D 1 -1 3.

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Q: Find u x v, v x u, and v x v. u = (-6, 2, -7) v = (-2,-5, -3) (a) ux v (b) vxu (c) vxv

A: given vectors

Q: Let U=(-4, 3, 3) and V=(2, 1, 1). Find (2U+V), *. | (then find | (2U+V

A: Find 2U+V and it's magnitude.

Q: Why do we get cov(y0, y0) instead of cov(yt, yt)

A: Given MA(3) process

Q: Rotate the point (2,5) by (3/5,4/5) around origin (0,0).

A: Given:  point A2,5Rotate by 35,45 around origin 0,0.…

Q: Calculate the length of PQ where P = (-2,1,6) and Q = (-3,4, –1).

A: We will find the length of PQ→ in the following step

Q: Find an expression for the exact angle 0 between u and v when = (4,7) and v = (-5, 8). (3, –1, 1)…

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Q: f-1 니 - X 3 t

A: To find the inverse of the function : step 1 : Convert f(x) into 'y'. step 2 : Swap 'x' and 'y' .…

Q: Verify that (cotx-cscx) (cotx+cscx) + 1 = 0.

A: (cotx-cscx)(cotx+cscx) + 1 = 0.

Q: ue the differntial equahion 95. X-

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Q: V=(2,7,10),V%=(1,2,3), Vz (1,3,5),Vz=(1,5,9)

A: Let V=aV1+bV2 +cV3 where a, b and c are constants.

Q: A 4,-1) B(4,-2) find lime x approachesto1 from postve dinection.

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Q: se: Two different con

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Q: loga sin (V)|] dz

A: We have to find derivative.

Q: S seco tan p sec²p-seco -do

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Q: Let u = [-1, 2, 2] and v = [1, -1, 1] Find (급x) O [3, 4, 1] [3, 4, -1] OI-1, 3, 4] O 14, 3, -1)

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Q: Zim (Incx)) x?

A: We have to find the limit