Suppese hal he landem Variables XEY have joinl se Thal he andom elsewiere P(x> PCX+リ>) whethe X8Y e lepnt

Q: Let A = {x E Z: 8lx) and let B={xEZ:12lx}. Then BC A A=B O ACB O None of these

A: using the concept of set theory...

Q: a²f af af and əx' əy :f(x, y) = (x+ y)(2x + y)² Compute se дхду

A:

Q: Let A = {x E Z: 8|x} and let B={xEZ:12]x}. Then A=B АСВ B드 A None of these

A:

Q: Let fxy (x, y) = 6 (x – y) , 0 < y < ¤ < 1 and fx (5) = 5 then E (Y|X = }) =

A:

Q: I. If g(x) = Vx – 4 and h(x) = x³ + 4 , find (hog)(x) %3D

A:

Q: ifwas T!R3-R² Lineartdentifier T(X gy,Z) =(X +2Y +2g0) grand father ☺ KerT ☺ ImI

A:

Q: If z = eax + by f(ax – by) then bE+a ôx is a. abz b. 2abz с. Заbz d. -abz

A: Consider the following equation: z=eax+byfax-by Differentiate z with respect to x taking y as a…

Q: When an automobile is stopped by a roving safety patrol, each tire is checked for tire wear, and…

A:

Q: * 27-28. Consider the Kenken Puzde. What shouid be the value of x and ye 2 y А. х1: у4 B. x= 2; y =…

A: The given puzzle is a 4×4 puzzle. So we have to use the numbers 1, 2, 3, 4.  Rules of KenKen puzzle.…

Q: If f(x, y) = x³y + ye2z then find fry ? None fry = 12x²y + 2e2 y° +2e2 2. 2.4

A:

Q: Line segment XY is a midsegment of AMNP. Determine whether each of the following statements is true…

A:

Q: * H.W Let f:AC, 9:B D be two functiens sit flx) = 96) ha fug: AUB CUp VXEANB then defred by:. %3D…

A: SOLUTION- SolutionA Rlation R:X→Y, where X and Y are setsis called functions if each element of x…

Q: Find y dy S using the substitution +5=√√y+2 √y+2 (√3+2-5) (5√y+2+y+21) +C 3 (√x+2-5) (5√3+2-y+24) +…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Solue the following linear syste m +3x3= 1 | 2と+ X, + Xz = 4

A: Given linear system is 4x1+2x2+3x3=1x1-2x2-x3=02x1+x2+x3=4

Q: Given: 2x'y'z + 5x*y®z6 4 ,8 f (x, y, z) = 2x'y'z + y' z Required: fzxy, fzzy

A: This is 3rd order partial derivative so differentiate one by one to get the final answer.  In…

Q: If Cov(x, y) = 0, that means: x and y are dependent. Option 2 f(x,y) = f₁(x)f2(y) Option 1 E(xy) =…

A: We have to tell If cov (x, y) =0 than which option is true.

Q: rändom variables X ~ N(1, 1) and Y ~ N(2, 4). E(aX + b) = 5 SD(bX + a) = 3 E(cY+ d) = 6 SD(dY + c) =…

A: Given data: The two independent variables X and Y are normally distributed as: X~N1,1 and Y~N2,4…

Q: Let w = f(x, y) with f E C² and x =h – kh, y = 4k. Which of the following statements are true?…

A: To find  Which of the given statement is true.

Q: Let ƒ(x, y) = 4x2 - 9xy + 6y3. Find ƒx (x, y) and ƒy (x, y).

A: To find the derivatives.

Q: b. If A = 3 x and A = AT, then: x=0, y=0 None of them. O x=y O x+y=0

A:

Q: Find all values of x and y such that Px(x,y)=0 and Py(x,y)=0 simultaneously.…

A:

Q: Hewin If Z =R Cxxy]:and u=x-yg V=x²-y 그를 + show that

A:

Q: When an automobile is stopped by a roving safety patrol, each tire is checked for tire wear, and…

A:

Q: an automobile is stopped by a roving safety patrol, each tire is checked for tire wear, and each…

A: P(X+Y≤1)=?

Q: When an automobile is stopped by a roving safety patrol, each tire is checked for tire wear, and…

A: If variable X and Y independent then ,  P(x, y) = PX(x)×PY(y)

Q: faywyn = fæwwyy fææryy xyx xxxYy True False

A: Given :

Q: Let p(x) = 5x² – 3x + 2 and suppose that y 1 0 A = |0 1 0 0 y for some y E R. Evaluate p(A).

A:

Q: ar contain 300 gold and silver coins. Each gold coin is valued at $9.00 while each silver coin is…

A: Given query is to the system of equations.

Q: Let C: z-i=9. Then ſ. 1-z dz z(z+1) a) 0 b) 2ni с) —2лі d) 4ni e) — 4пі f) 2n

A:

Q: Determine Dariuior souHon 2y"+ Sy't 3y •0 : y(O) = 3 , y'C6) •z

A:

Q: b с a+х b+у с+z a [E] If A = |p qr = 6, evaluate det (A) where A = 3x Зу 3z -p -r

A: This question is based on determinant properties.

Q: S(r, y) = S2, 0<r<y< 1, 10, elsewhere. Determine if X and Y are independent.

A: We have to check whether , X and Y are independent First we will find out the marginal probability…

Q: 7. Let w = 8x? + 6 y² +2z° ;x = r²; y =t*; z =r² Find A) -321 + 481- + 201º В) -321 +481' + 201° - =…

A:

Q: 3 Let (x) = x°+x'+x + n+3 and %3D 2 gla) = Find q Gx) g Cx)+ Y Cx) where either r(x) =0 or os deg,…

A: Given: f(x)=x5+x4+x3+x+3          g(x)=x4+x3+2x2+2xwhere f(x), g(x)∈ℤ5[x]To find: q(x) and r(x) such…

Q: Q16. If = xzī + xyJ – yzk what is V × ¤? zī - xj + k -zī - xj – k -zī + xj + yk -zi- xj + yk ī+ xj +…

A: Curl of the vector field

Q: z + i dz: z3 + 2z2 + πί. %3D Izl=1 Select one: O True O False

A:

Q: 3 If U<xy+ yZ +Z X Find d Ce, y,2) y it bcist. V =X +Y+Z, W=)X YZ %3D

A: Given : u= xy + yz +zx , v= x+y+z , w = xyz To find: ∂(x,y,z)∂(u,v,w) Solution: Let   A = u- xy - yz…

Q: 1 Let D = (x, y) : 9 < x² + y² < 25, –y < x < V3 /| 4æydA Evaluate

A: Consider the region D as shown in the figure below: Here, the objective is to find the double…

Q: Let z x²y – xy², x = e-24, y = e2t, then which of the following is a. 2et + 2e 2t O b. –2e2t – 2e-2t…

A:

Q: (C, + C2 x) e3x sno əbowou us ODE eneol y + 8y + 16y = 0 a. (C, + C2) e4x b. (C, + C2 x) e* c. (C, +…

A:

Q: The degree ofa difrentel eutn /z+(2) =0is. O None of the choices 00 0 2 01 0 3

A:

Q: minimize P = 5x + 94 Subject ΧΖΟ y ΣΟ x+y ≤ 8 to given restraints

A:

Q: of with Sypera tuon q Jo lu tim PDE Variables 2 Example: au U(0, t) = o beun day con ditims U (x, 0)…

A:

Q: Consider X and Y with fx.Y(x, y) in the x = 0 x = 1 table. Specify whether X and Y are independent.…

A: X and Y are said to be independent if P(X=x, Y=y) = P(X=x) P(Y=y), for all x,y.

Q: Let z = a?y – ry?, x = e 4, y = e2t, then which of the following is 2e2t + 2e 2t a. O b. -2e2t – 2e…

A:

Q: 10. Given f 3D (x'y. уг3, -2:3x), find а) сurl F b) div F

A:

Q: Let ř =xi+y+ zk, and let u= ||F|I. 2-2u = 3ue. Show thet Dflu)= 6- 6u)e" r.

A: Given, fu=3u2e-2u. We have to show that ∇fu=6-6ue-2ur→ where r→=xi^+yj^+zj^.

Q: AUG' A= xE [10, 20] B' = xE [o, 10) U (25,30] %3D

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: 33. (2x² + 3y² – 7) xdx – (3x² + 2y² – 8) ydy = 0 Hint: Let u = x and v=y² Answeri: (x² – y² –…

A:

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.