If (r + yw)? = e + 2, then e is e e +2 a. b.- 2ry +2y2w 2rw +2yw2

Q: If f(x, y) = xe2y + 5xy, then is given by: O 2xe?y 2xe2y + 5 O 2e2y + 5 xe?y + 5 2 O + 5 e2y 2

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Q: S = {(x, y, z) E R : 2 = x² + y°, 0 s 4}. Evaluate e* dS. ds.

A: To evaluate the surface integral over the surface S is given by the equation z=gx,y, use the…

Q: If f(x, y) = xe2y + 6xy, then is dydx given by: e2y + 6 등 2e2y + 6 2 O None of these O 2xe2y + 6…

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Q: Given y, = Bo + Bıyt-1+ E; and ɛ, i.i.d. N(0, o²), compute: (a) E(y;). (Ъ) Var(y;).

A: Given information: In the given model the current period is predicted on the basis of its preceding…

Q: Consequently, we get b P+Q= (42) [e (1 – C)– d (A+B+D)]’ where e (1– C)-d (A+B+D) > 0, eb² (1–C) PQ=…

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Q: fx >2 e every wE W.

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Q: Given u(x, t) =t=?e, compute: e 2t

A: We have to calculate uxx of the given function.

Q: and P= (A + B) Q+(C+D) P- Q=(A+B) P+(C+D) Q- bQ (ep - dQ)' bP (e Q- dP) (21) P+Q= (22) Consequently,…

A: Given equations are: P=A+BQ+C+DP-bQeP-dQ   . . . (21)And,Q=A+BP+C+DQ-bPeQ-dP   . . . (22) We have to…

Q: If F =, and S[F ndd is equal to S: r=, 0<u<1,0<VSa/2. Then O a 1 O b.2 O C. 1 O d.

A: We have find given double integration.

Q: If w= Xze' y=va²–x² , z=Sirx, then ( dw is

A: we will derivative by using chain rule

Q: Given M = {(x, y), 1 < x² + y² < 4}c R². (a) Determine dM and aM. (b) Is M connected? Pathwise…

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Q: If r(x, y,z) = (x² + y² + z²)!/2, find a²f a²f əx²'əy² ' a²f , аnd дхду

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Q: If r(t) = (e³t, e-4t, t), find r'(0), T(0), r"(0), and r'(0) x r"(0). r'(0) = II T(0) = r"(0) =…

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Q: If p (E1) = 0.3, p (E2) = 0.4 p(E1/E2)=0.5 so p(E1 cross E2)= 0.2 0.15 0.12 0.7 %3D %3D

A: Given, pE1=0.3pE2=0.4pE1E2=0.5

Q: R and r are defined by E(; - 1)(y, – I) VE(*; - 1)² E(Y SSR Sry S,, Syy R? TY r = SST' (1) Show R2 =…

A: Given : R2=SSRSSTr=∑xi-x¯yi-y¯∑xi-x¯2∑(yi-y¯)2r=SxySxxSyy

Q: S = {(x, Y, z) E R³ : 2? = x² + y², 0 < z < 4}. Evaluate e*dS.

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Q: If f (z, y) — е"у, then fr (1, In (3)) —??? (а) е (b) e³ (с) 1/3 (а) 3 (е) 3ln (3)

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Q: If x I y and y I z, then b

A: For the lines l, m &amp; n, if l∥m &amp; m∥n, then from transitivity rule l∥n.

Q: dw и and if w = x³ + In (²) dv E) + y, x = u² –" + 5 and Find - ди y = 3v + 5u and point…

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Q: If var(X + Y) = 3, var(X – Y) = 1 , E(X) = 1 and E(Y) = 2, then E (XY) is

A: From var(X+Y)=3 we get:var(X)+2Cov(X, y)+var(Y)=3 ........(1) From var(X-Y)=1we get:var(X)-2Cov(X,…

Q: If z = xye», x = u · 3“, and y = u · v², find dz when u ди 2 and v = 5.

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Q: If y = Ce + Cze and y(0) =e and y(0) = 0 then C

A: We will substitute the value of x to get relation between value of y and c1 and c2

Q: If y? dy = is =I, then O a. 1/2y O b.x/2y O c. 2y/r O d. None O e. 2/r

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Q: if fx) = x + y, 0<x<1,1<y< 2, then E(x) + E(y) = true flase

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Q: If f(x, y) = xe2y + 5xy, then is given by: O 2xe2y + 5 O 2e2y + 5 O re?y + 5 2 e2y +5

A: First derivative f with respect to x and then with respect to y

Q: 1- fº, SÉ, x² e*Ydxdy 2

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Q: 4. If BD || CE, BÁ 1 BC, and m26 = 48°, then AT D %3D E a. mZ5 = b. mZ8 = 8/7 C. mZ7 = B 9.

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

Q: For any 2 RVs X and Y {E(XY)}² < E(X?E(Y²)

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Q: B = {(x,y xs2, -a sy s3, 0£21} SS, x*yz²dV 2 'B

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Q: Let x be a c.r.v., the E(x4) can be founded by xf(x) dx. O True False

A: Given problem Given that   Let x be a c.r.v., the E( x4 ) can be bounded by ∫-∞∞xf(x) dx   Ans)…

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…

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Q: Find the value of c such that E enc = 4 n = 0 3 1n 4 C =

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Q: If we know P(X = i) = 2/3n2 , i = 1, 2, ..., 6 then E(X) would be?

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Q: 4.2. Suppose that v = (2, 1) and w = (1, 2). (a) What is 3v + w? (b) For c,d e R, what is cv + dw?

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Q: e Va € R, if 1 ≤ a, then ³n € N, 2a + n n+1 <a

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Q: E O y, = [Ax? + Bx] e2*

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Q: Given E[X(Y-1)] = 15, E[X(Y+1)]= 25, V(X) = 10 and V(Y) = 14 and V(X+Y)= 40. Then E(Y) = ) 14/5 2 )…

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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…

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Q: If C is given by x = 2t, y = −2t, z = t, 0 ≤ t ≤ 2, evaluate Z C (x − y + z) ds

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Q: (E,E2 – k)z(k, l) = 0, - (E1 – kE,')z(k, l) = 0. -

A: The given operator form is: E1E2-kzk,l=0             (1)

Q: a) Is it reasonable to assume X; and Y; are independent? b) Is it reasonable to assume X; is…

A: According to the answering guidelines,  we can answer only three subparts of a question and the rest…

Q: Let C: |z – i| = 3 and I = $. dz. Then e 6z z2

A: By using Cauchy integral's formula for nth derivative.

Q: The set of all solutions to y" = 5x + e** is given by 1 a) OC,x + 16 e* + C2 4x b) O 5x + e** + C1x…

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Q: 24. If y = e", then y' = ef(x).

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Q: If A, = 1x | x = kn, k E Z}, find (a) A2n A5; (b) U An, for n e N. n=1

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Q: If z, w E C, then |zw| = |2||w|.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Given A E R3X3, 1 = |1|,02= 1 , V3 = 0, w2 = -2 1 2 -4 Av1 = 01, Av2 = w2, Au3 = 03. %3D %3D %3D

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Q: Negate the following statements: a. (3y € Q) (y + 4 = 8) b. (Vz E P) (г > 0) Vx3y, M(2x,y) d. 3xVy,…

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