flx, v) = { xe-x(1 + y) x20 and y 2 0 otherwise rmine E(XY). ulate Cov(X, Y) and p. X, Y) =

Q: Suppose that X, Y C U. If Pr(X) = 0.3, Pr(Y) = 0.32, and Pr(X n Y) = 0.08, what is Pr(X' U Y)?

A: Given :  X , Y ⊆ U . P (X) = 0.3 , P (Y) = 0.32  and P(X∩Y) = 0.08 .  To find : P (X' ∪ Y) = ?   The…

Q: Maximum value (If none write DNE): x = -6 (If none write DNE): f(Max)= 6 X o, value of maximum value

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Q: Determine the order of the DE. a.) y' + y = 5y^2 b.) (dy)/(dt) = t c.) y' = y'' + 5t^2

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Q: Solve the followi ing

A: As per our guidelines we are supposed to answer only one question. Please repost another question as…

Q: Find f, and f, and evaluate each at the given point. (x, y) = arctan), (2, -2) %3D ,(x, y) = ,(x, y)…

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Q: Find df / dx and ðf / dy. f(x,y) = e(x + y + 8)

A:

Q: Solve the following equation by using separation variable method: u(0,t)= u(6,t)=u(x,0)=0 u, (x,0)=…

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Q: Uindaterraind coefdicients y" t 4ytuy = (3+x)e"; yro)=2, y'6) =5 %3D

A:

Q: Find div F if F(x, y, z) = (x2 + y) i + z2 j + (ey - z) k.           A . 2xy i + k          B. 2x…

A:

Q: show that | | J.(x)dx x² J,(x)dx = x²J¼(x) + x J,(x) – %3D

A: Apply the integration by parts method and use the identity ∫xpJp-1xdx=xpJpx, to evaluate the…

Q: dY (x + Y} 4) Solve dx (Hint: Let V= X + Y)

A: Given:       dxdx=x+y2   Let v=x+y

Q: 5-find Аху : xe 12) if f(x, y) = xe

A: First I have mentioned what we have to find then just use the rule of partial derivative find the…

Q: Ql if (x,y,z) =o and Z"=x+Y find d2 (using di f Beren tials concept)

A: Given  If f(x,y,z) = 0 and z2 = x + y

Q: x'+y° Q4. If u = sin- sin-'( -), Show that x+y ди X- ди + y- = 2tanx (2 + ду

A: If u=sin-1x3+y3x+y, then show that x∂u∂x+y∂u∂y=2tanx.

Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = sec-1 (x + yz)

A: Given that f(x, y, z)=sec-1(x+yz)

Q: Determine the required integrating factor: y'=x-2y cot (2x) O sec (2x) O2cos (2x) O2cot (2x) O sin…

A: y' =x-2ycot2x

Q: find dy of X sin 2y =YCO52X

A: Given: x sin 2y=y cos 2x To Find: To find dydx.

Q: Differentiate. V(t) = (t + 7e')/t %3D 3 7/)eIn(e) + v7 * V'(t) = 2

A:

Q: Find fyx for f(x,y)=exln(y)

A: Given : fx,y = exlny

Q: A dilation T sends A = (2,3) to A’ = (5,4), and it sends B = (3,−1) to B’ = (7,−4). Where does it…

A: We have, A dilation T sends A = (2,3) to A’ = (5,4) and it sends B = (3,−1) to B’ = (7,−4) Where…

Q: f (x,y) =x³ cos y Given df (2, 1) дх of and (2, л). Evaluate ду

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Q: 12. Find frxyz for f (x, y, z) = sin (3x + yz)

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Q: Calculate dwldu and using the following functions: = f(x, y, z) = 3x2 – 2xy + 4z2 x(u, v) = e" sin v…

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Q: daffəx and åf/ðy y) = x² – xy + y² v) = sin? (x – 3y)

A:

Q: Find дz ax and дz at (0,0,0) if x3 + z2 + yexz + z cos y = 0. ду

A: