Suppose that X,Y⊆UX,Y⊆U. If Pr(X)=0.29Pr, Pr(Y)=0.23 and Pr(X∩Y)=0.08 what is Pr(X′∪Y)

Q: prove if x → y then xor y = y =

A: To prove : If x→y then x or y = y Lets use the help of truth table to prove the above statement.

Q: Evaluate |[[p(4z + 3y² + 2x)dV = {(x, y, z) | 0<x < 2,0 sys 2, 0 s z < 1} .

A: We have to evaluate the triple integral given below: ∭B4z3+3y2+2xdV  Here, the region B in three…

Q: /1- (z² + y²) dz dy dæ ) Evaluate

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Q: B)Is w = Ze² analytical function or not?

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Q: Find of z = In(xy)

A: Given,Z=ln(xy)differentiating both the sides partially w.r.t. x∂z∂x=1xyy1∂z∂x=1xagain differntiating…

Q: The domain of y = is A. (-0,00) B. (0,00) C. (-∞,0) D. x + 0 E. x + 1

A: Solution: The domain of a function is the set of input or argument values for which the function is…

Q: 2. If F(x, y, z) = 2z3 – 3(x² + y²)z, then verify that Frx + Fyy + F2 = 0. %3D

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Q: If xly then gcd(x,y) = y. إختر واحدا:

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Q: O Find Vf, where f(x, y, z) = = e¯(ax+by+cz) with a, b, c some constants.

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Q: 3. Given fxx(x,y)= 4x² On Support 0 Otherwise Let U=Y-X. Determine f(u) (Including the Support of U)…

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Q: Show that (0, 1) ~ R.

A: We need to show that the open interval (0, 1) and R( the set of real numbers) are equivalents. The…

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

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Q: Graph and shade the domain of f(x, y) = vy + x² – 2.

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Q: Let f(z) = 5z2 + 3z.  Find u(x,y) if z = 8.2 + 5.9i

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Q: Sv.Vdxdy = dxdy = ду 2 + JR V.(6,x)-V,(b,x)]áx + [ [7 (a, y) –V,(0,v)ky.

A: Here is the solution of the given problem.

Q: Q1: If w-f(z)=z'-z²+2z+2 find u and y and calculate the value of f at z-1-21. V.

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Q: Let Find A = x³y 1-2xz] + 2yz k Vx(VxA).

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Q: Using the substitution u = (A) (B) C D 1+1 du [₁ -1/2 du [(u ¹/2 - u-1/2) d du (u - 1) / u-²1) x + 1…

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Q: find an antiderivative Fon of the function fox)=5sinX such that FCO)=1.

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Q: Find V x (V x F) if F(x, y, z) = 5xyj+ 9xyz k. V × (V × F)

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Q: Def (Function): A binary relation RCX X Y is called a function from X to Y, written f:X →Y if -…

A: The concepts have been explained with examples.

Q: then A(-2u - 20) = -2 ---B 5 and Au 3 Au = 2 4

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Q: 9. Find div F if F(x, y, z) = x²yi + xyzj - x²y²k. A. 2xy + yz - 2xy² B. x² + xy C. 2xy - xz D. 2xy…

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Q: Lemma*: If z(x, y) = W+H, then xZx + y2y = (xWx+yWy) + (xHx + yHy).

A: Solution:

Q: Prove that (X+Y) (X+Z) =X+YZ

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Q: Let z = x + iy where x, y E R. Show that 2² + ² = 2 if and only if x² - y² = 1.

A: A complex number expression is given.

Q: Prove that 3x +8 Viv = dr dy: %3D where R [-1,1] x [0, 2).

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