Let C: z-i-3 and I = 4, dz. Then %3D |=0 |= 6rti |= 8ti O I= 4rti None of these

Q: dx , if we let u =V 25 – x² , then udu = - xdx. (A True B False

A: Given query is to find statement is true or false.

Q: (a) Si = {(x,y) | y divides x} (b) S2 = {(x, y) | x + y is odd} (c) S3 = {(x, y) | xy is odd}

A: List the properties of relations. Reflexive: a relation R on a set A is reflexive if a,a∈R for all…

Q: [1 Given that A 1 1/3 and A = -I, d %3D C What is the value of C?

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Q: 2. s - [GpAq)Ar] = a. 7 [(pV7 (qAr)) As] b. (pV7 (qAr)) As с. (pV (qAr)) d. None of these

A: The given question has been solved with explanation in step 2.

Q: Let z=xln(x2+y²-e*)-154xy, x=te, y=est. If the value of Oz when s=2 and t=1 is equal to Ae?+Be, then…

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Q: aw Find ду if w = z³(In(zy))(e**y*z*) %3D

A: Given,        w=z3ln(zy)ex2y3z4

Q: Given: z = x3 + xy", æ = uv + w°, y = u + ve" az when u = 3, v = – 2, w = 0 Find

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Q: (x? + y?) dy, where C is given in the accompanying figure (3, 3) C (0, 0) (3, 0)

A: Given, ∫cx2+y2dy where limit of y from 3,0→3,3 so integral is: ∫03x2+y2dyx2y+y33033x2+9 where x=3

Q: Please answer in pen

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Q: Q1/ If z = e*?y, x = Vuv, 1 y = Find: əz а- ди az b- dv

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Q: 2 Evaluate [I, (x² +y² +z? dv, 2 В

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Q: dz where C is ned by x = 0, :

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Q: aw b- if w = x + 2y + z2, x , y r2 + Ins and z = 2r , find the value of ar .rk)

A: We will solve the following

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: Q5.Given that W = f(x.y.z)% x+2y+, find : aw aw in terms of s and r, if and x=, y=r +Ins, =2rr.

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Q: How do I prove this?

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Q: 4. (a) If y = A + Bx + Cx2 and yo, yı, y2 are the values of y corresponding to x = a, a + h, a + 2h…

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Q: Solve the following aw dw aw. Q1) w(x,y, z) = xy²z³ + esin(x*y²z) + x² – y³ + z – 7 find ( дх ду az

A: Here x,y and z are independent variables and w is the dependent variable that depends on x,y and z

Q: Let cov(X,Y) = var(X) = and h(y) = }* (4y, 0<y<1 %D %3D 45 45 elsewhere Then the value of var(2X +…

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Q: 2n P(X = n) = c, n= 0,1, 2, .. n! a) c sabitinin değerini bulunuz. b) P(2 s x < 3) =?

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Q: Compute |// a² d.x dy dz, where E = {(x, y, 2) : x² + y? < 1,0 < z < 1}.

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Q: 3. Show that S4 has the presentation (x, y|x* = y² = (xy) = 1). %3D

A: To show: S4 has the presentation x,y| x4=y2=(xy)3=1

Q: dy The appropriate substitution to solve da + In(z + 1)! = x°y3 is O z = y? O y = vr O z = y* O z= y…

A: Topic:-  differential equation

Q: * Evaluate SSS 12z dV E where E is enclosed z = x² + y? and z = 1 %3D Зл о 2л о 4л о IT O

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Q: 7. w = xe + y in z, Find dw

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Q: Ir If z = f(x- y), then of df дх ду 1 -1 12 O 5

A: → Use chain rule of differentiation.             ∂(f(g(x)))∂x=∂(f(g(x)))∂(f(x))×∂(f(x))∂x→While…

Q: Let X ~ NB(r, p). Show that E(X*) =-E(Y – 1)*-1 where Y ~ NB(r+1, p). а. b. Use this result to find…

A: It is given that:

Q: For which values of z is w =1/(z – i), defined? For these values obtain u and v and evaluate w when…

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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: S[(vxvø)•nds, The value of where o(x, y, z) is defined on S is (a) 1. (b) 0. (c) 2x.

A: Concept:

Q: For a bivariate analysis involving the two variables X and Y, if E(* – a)(y - 9) = -76, n = 33, S =…

A: It is given that, ∑x-x¯y-y¯ = -76, n = 33 Sx =1.54, Sy =2.40,

Q: 2. Evaluateſff, y dV, where: E = {(x,y,z)|0 <x< 1,0 < y < 4x,y < z < x² + y} %3D

A: The solution are next step

Q: Let y(x) be the solution for the DE : y = (x + y – 1)² If y(0) = 1, then find y() %3D %3D 4 37 8- 7…

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Q: 5Is there a value of r sotha X = 1 y = 2 and Z=r is asolution to the linear systen ? If there is ,…

A: Putting equations as;23-11-1241-2 xyz=11-712Augmented…

Q: 2s f( 8ts“, ), (x, 9) = 7xy, and af af ;(x, y) : Assume that w= Find and ds %3|

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Q: Given DE Cauchy-Euler xy +2y= Inx, x>0 what is the particular solution?? I. II. IV. Select one: O a.…

A: a. Given equation is  x2y''+2y=lnx Let x=et. Then differentiating w.r.t x,  etdtdx=1dtdx=e-t Now,…

Q: Let I:=∬DydA, where D={(x,y): y≤x≤4, 0≤y≤1}.  The value of I is?

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Q: If y = In(x² + y²) then the value of d at the point (1,0) is %3D Select one: O a. 0 O b. 1/2 O c.1 O…

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Q: What will be the value of (h, k) in the given DE: * (x – 2y + 1) dx + (4x – 3y – 6) dy = 0 | h = 3,…

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Q: x'y=x'+ xy. linear DE Which value of k, the given DE will be homogenous?

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Q: Exl Let c R,Z) be usual toP s Pace and A-fcxy)ER/ x²+y²< 13 find A Ext CA), Ā , A°

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Q: az az Q1/ a. Find and if z= (x² + y²) where x =r+ e*and ar as y=Ins

A: Solution: The objective is to find the partial derivatives of the given equation

Q: ( a) 2.xdV where E = {(x, y,z) |0 < y < 2, 0 <xs/4- y² ,0 < z< y } E

A: As per Bartleby's answering guidelines, we are supposed to answer one question if more than one has…

Q: (2? + y? + 1) dæ – (æy+ y)dy= 0 - %3D x +1 (x + 1)? Option 1 Option 2 (x + 1)-3 (x + 1)-1 O Option 3…

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Q: d. ý <(1+s)y, ,h=o•2 yCi) = e

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Q: Let a A =| d e f h i and 2a 2b 2с B = 2d 2e 2f i Given that det(A)=1/12, what is det( B-)? Answer:

A: Other