Given that P(X)= P(Y)= and P(XUY)= find 20 20 10 a) P(XnY) b) P(XIY)

Q: T(x,y, z) = x² + 2y² + z

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Q: I don't understand why w(x,t)= x+(1-x)t^2

A: Given below the detailed solution

Q: Show the only soution to ax = 1, a + 0, is x = a^-1|

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Q: Suppose that f(æ, y) = e" = e-3z? - 4y? +y

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Q: |(7) In general, SUT S (SUT)', but (SU T)' S°UT. Pra

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Q: S = In sec 3x| + C 13. z sec² 3x dz %3D 3 - tag 3z,- å

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Q: 1-y² L In (r* + y? +

A: Introduction: The process of determining the area of the region under the curve is known as…

Q: Solve this egeua tion using differenbicel eque bio us ikx -ik X 4 Cx) s AĈ + 13e

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Q: 13. the , xydA, where ySxsy?}

A: First I have set the limiting double integral from given information and then solved it .Final…

Q: 4. If A = 3xyz²i + 2xy³j- x²yzk and p = 3x² - yz, find (a) V-A, (b) A-V4, (c) V-(Vo) at point (1,-1,…

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Q: 4[8,(t-2) rect(r)dt

A: we have,  I=4∫020δ4t-2recttdt we know that  ∫t1t2xtδt-t0dt=xt0 ;   t1<t0<t20       ;…

Q: 1. Find x, y, and z so that x + y 4x 2y -16 -- y 11 4 Z

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Q: a²z If z = In(x² + y²)., find ax2 ay?

A: Here we have;  z=ln(x2+y2) ...................(1) partial derivative with respect to x

Q: x*y" + xy'+4y= 2x Ina

A: Cauchy linear differential equation

Q: 4- Find Y/dz If x²(x- y)? = x² - y? dyla

A: Find the derivative

Q: for w = ze(zy²+2:). Do not include =" in your answer.

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Q: 4,5 f (x,V)= Sx"y%,compute fx and fy

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Q: If (x, y) > (x+3, y-7) maps TUVW to T'U'V'W', what is the algebraic description that will map…

A: x, y→x+3, y-7 maps TUVW to T'U'V'W'. That is, the x-coordinates of T, U, V and W are added by 3…

Q: If (x, y) = (-V3, 1) , then find r and 0.

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Q: #32 Find y' if Yu X-T + X.J9+ =XY

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Q: 7. dz | zV 36z2 - 25

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Q: If A = 3xyz²i + 2xy³j-x²yzk and p = 3x² - yz, find (a) V-A, (b) A-Vq, (c) V.(Vo) at point (1,-1, 1).

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Q: (8) If w = 5x2 + 2y2, x -3s +t, and y s - 4t. %3D aw and at aw Find as

A: w=5x2+2y2,   x=-3s+t,  y=s-4t

Q: What is G = xy ax – x²y ay + 2y az at B(3, –4, 1), expressed in SCS?

A: Given: G→=xy ax-x2y ay+2y az -----------(1) Where, Bx,y,z=B3,-4,1 --------(2)

Q: et A be 4X4r nas non-brivial . -son-

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Q: (b) If z =W, show that: x- y xy 0 =

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Q: Show that A Yk= V' Yk+r

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Q: .1//3 7earctan(y) dy + y? 3

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Q: 23 { , si (x, y) # (0,0) b) g(x, y) = 2x2 + y² , si (x, y) = (0, 0)

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Q: Apply Euler method and Richardson extrapolation for h = 0.2, 0.1 the problem: and abtain g y' = ty…

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Q: EXAMPLE 4: WY = In AWXY: WX = 9 m, XY = 15 m, and n ZW =31° m2X = mZY =

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Q: 3-VE For dz, z = 2+vz

A: Given,             ∫3-z2+zdz

Q: I need help with part c - covariance of xy.

A: Reviewing information, X & Y are r.v.s P(XiYi) X Y 0.8 100 300 0.2 300 100

Q: 1. v20x*y 6. V121x*y* = 2. V147a'b5 7. V625u1ºv16 15 11 3. 320p°q" 8. V224pq" 9. V27w²z° 13 4. V7…

A: Authoring guidelines:…

Q: If i = xi+yi+zk then grad (r") is equal to

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Q: 3ey , find Given z = dz dz au

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Q: 4. The line 3x + 2y – 10 = 0 is perpendicular to Ax + By + 1 = 0. Find the possible values of A and…

A: Consider the set of simultaneous equations, 3x+2y-10=0………(1)Ax+By+1=0…………(2) Let m1 be the slope of…

Q: 3. Obt nin the parh cular folu tion 9. xdx - ydx + 3x dy +ydy = 0 ; wun x - 5,4= -:

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: . If 4=(x+2y+az, bx-3y-z,4x+cy+22) is irrotational. Find constant a,b,

A: Follow the procedure given below.

Q: Given f(x, y) = In(3x² + 5y²) then af dx

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Q: find af/ax and ðf/əy +4- 17. f(x, y) = sin² (x – 3y) %3D

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Q: 3. If (x, y, z) = xy²z find grad 6 at (2,−1,3).

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Q: 6. Consider the following model: Yi = Bo+B,D11 + B2D21 +u; O if person i is a non-immigrant) where…

A: Dummy Variable Trap: It is defined as the scenario when the attributes are highly correlted. One…

Q: O, x = 2, y = dy dz is

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Q: II. If x? + y? – 4x + 4y = 27, find expressions for and in terms of x and y, dx dy dx dx2…

A: Ans:- 5/6 & -55/216 For detail...go through the solution

Q: Let z=xin(x2+y²-eª)-162xy, x=te°, y=et. If the value of when s=2 and t=1 is equal to Ae?+Be", then…

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Q: 2. Given z = , show that ху xy(zxx + Zyy) 2 y - x3 x²y? |

A: Function is the unique relation where each x is mapped to unique y. It can be of many type,…

Q: Calculate az/ax, where xez + zeY = x + y.

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Q: Given: f (x, y, z) = 2x'yz² + 5x°y*z® - x³y? ,5_3 Required: fzyx , fxzz

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Q: 2. In AXYZ, PQ || XY . If XZ = 15, YZ = 12, and ZQ = 8, what is ZP? 2.

A: Use concept of similarity. In similar triangle, ratio of corresponding side are equal.

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.