Show that if Y = ax + b (a = 0), then Corr(X, Y) = +1 or -1. We know Cov(X, Y) = Cov x, ])--)-I + b Then Cov(X, Y) Corr(X, Y) = which is 1 when --Select-- v and -1 when Ox (lal ox) |a| ---Select--- v Under what condition will p = +1? The value p = +1 when --Select- v

Q: dx 19) u = 4x + 9 4x +9 1 A) B) 2/4x + 9 + C + C + 9)3/2 1 + C V4x + 9 C) 2- S dx 20) u == 4x + 6 4x…

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Q: 2 [11]₁v=₁-1²] W u Compute: u.v= u. W = w u · (v + w) = u.v+u. W =

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Q: valuate the integral using U-substitution x dx (7x2+3)5 1) S A)-(7x²+3)-6+ C C)-(7x² + 3)-4+ C…

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Q: Give the general solution to xу +5ху%3D х 3 sin(4x). a) Oy = x cos(4x) + Cx-5 b) Oy = -* cos(4x) +…

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Q: 3 4) Sain ³x cus³x dx 3 a) - + cos²³x (vin³x + ²) + C 2 b) = cos²x (Ain²³x + ²/2 ) + Cc c) - — cos…

A: To evaluate the integral.

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A: To find the derivative y=√(g(h(x))

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A: Given x1 + iy1 = x2 + iy2

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A: Introduction: If two logical statements have the same truth value in all circumstances, they are…

Q: It is easy to calculate the covariance of X₁ and X₁+7. We get 7(T) = cov(X₁, Xt+T)= (1+0+02)0² (01…

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Q: The following is a joint probability mass function. 4. 3. 4. 5. 6. y fxy(x, y) 1/8 1/4 1/2 1/8…

A: For the given data set Find COV (X,Y ) =?

Q: The antiderivative of the function sin (Gx+7) is:

A: Given : sin12x+7

Q: for 3x'z -x'y² +2z + 3xy = 0 ( Hint: Let %3D F(x,y,z) = 3x z - x'y? + 2z +3xy) %3D

A: Explanation of the answer is as follows