X,X, X3 R.S. T3 %3D Bind dis tribution of Xo

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: • [√x S: z = 8 - x, 0≤x≤ 8, 0≤ y ≤7 Evaluate (x - 2y + z) ds.

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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: f tan(z)dz C, = {z € C: -|= 5} CL

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Q: Find the value af Z そf え e = 1+3 i

A: for log of complex number we know that, x + iy = log(a+ib) then, x + iy = log|r| + i(theta) where,…

Q: then ö(x, y) he value of fC

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Q: e dz when : C, = {z e C:|z|= 1}

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Q: E = {(x,y, z) E R³ |z² + y³ < z< 12 – 2x² – 2y²}. %3D

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Q: b. Evaluate for y if x = 2.3 and z = -1.5. Round to 2 decimal places. Y =

A: Given that: x=1+yyz

Q: Simpliny O) 5a + 3a %3D

A: Given: a) 5a  +3a b)7b  -5bc)5a-3a

Q: sheet Undetermind Coefficient 2 Y +2Y+Y=x'e хе

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Q: dxdydz Evaluate 'V1-x? NI-x²-y² V1-x2-y?-z2

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Q: 3. The value of k in the variation models y = kx and y = is called the of

A: The value of k in the variation models y=kx and y=k/x  is called

Q: Cov(X,Y)=E(XY)-E(X)E(Y) ylgn İhi

A: The covariance between X and Y is defined as cov(X,Y)=E[(X-EX)(Y-EY)]=E[XY]-E(X)E(Y)

Q: X=(1)+ wam (xf pulf Z-x7=(x)₂ + £I-E#

A: Topic = Integration

Q: k k Ans. F(s)= 12) s(1+ea) 0 a 2а За 4а

A: Need to find laplace of given function

Q: Evaluate S, y dv with E = {(x, y,z): 0 <x< 3, 0< y < x, (x – y) < z < (x + y)} %3D

A: Use triple integration

Q: F(x, y) = yi – xj

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Q: sーy-xゴャx |

A: Given that y dy/dx -xy^2+x=0

Q: f (x, y) = 3 + x³ + y3 – 4xy.

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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: Find the values of w, x, y, z and Dx x + y + z + w = 13 2x + 3y - w = -1 -3x + 4y + z + 2w = 10…

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Q: a) Find the values of A and B if - {(x² + Ax + B)e*} = x²e* dx Hence, evaluate S, x²e*dx

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Q: e x + > 2 , x 0

A: The given equation isx+1x&gt;2x≠0

Q: SAS K Y %23

A: Given figure, we have to state the congruence required to prove the congruence of triangles using…

Q: 3. f(x,y) = x³sin (2) %3D

A: We will find out the required value.

Q: D. E +xy = axj Solue %3D D

A: Bernoulli's differential equation.

Q: g(x, y, z)

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Q: •a² +7 ra²+5 0.98Va-21 0.98v-21 dæ. dx 0, then a2+3 a2 +3

A: Use the property of integral and solve the inequality.

Q: 5. r(x, y) = ln (x + y)

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Q: f(2ecz tan z - 6z")dz=_ • tan z+z+e secz+z+e • secz-z+e - secz-z+c •- secz+z+e

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: X(t, X) = e

A: From the available information, The probability density function is, The total  probability density…

Q: (x, y, z) = ( i i

A: Given that Length of vector = 6√3 We have to find component of vector.

Q: f(x) = e−x,    n = 5

A: Given:          fx=e-x ,n=5 A Maclaurin series is given by fx=∑n=0∞fnan!xn Here fx≈Px=∑n=05fnan!xn…

Q: (c) y" - ry +y = ', y(1) 1, g/(1) = -1, r>0

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Q: f(x) = In(x), n = 4, c = 3 Pa(x) = %3D

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Q: • [√x S: z = 8x, 0≤x≤ 8, 0≤ y ≤7 Evaluate (x - 2y + z) ds.

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Q: S = {(r, y, z) E R³ : 2? = x² + y°, 0 s< 4}. %3D Evaluate e dS.

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Q: [E (XY)P SE (X²) E (Y²)

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Q: E(x)=3, var(x)=10 z=4+0.4x Find var(z) and E(z)

A: Given : Ex = 3 varx = 10 z = 4 + 0.4×x varz = var4+0.4×x varz = var4+var0.4×x Variance of constant…

Q: M„(Z) D This Option

A: Clearly the ring Mn(F) is infinite iff F is an infinite field.

Q: Find / Ux) + 3g(x)]dx if = 8 and / g(x)dx = -6. S(x) + 3g(x)]dx =

A: We have to evaluate the integral ∫-47fx+3gxdx, where ∫-47fxdx=8 and ∫-47gxdx=-6. We have to use the…

Q: e |/ (x² + y³) dV, where E = {(x, y, z) E R³ : VA- x² – y? <z< V9– x² – y?}. Evaluate E

A: The region E will be bounded within the upper half of the spheres x2+y2+z2=(3)2 and x2+y2+z2=(2)2.…

Q: ædx + ydy = (x² + y³)dæ a² + y? = Ce?= a² + y} = Ce=2s Option 1 Option 2 1 In (a² + 3°) = C in (z* +…

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Q: (b)Ly(R):= P(X-(R) = P(w E N:X(w) E R) = P()- %3D

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Q: S„Xg (x)dm , where E = { x : x € Q , -1< x<1 } %3D

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Q: If L, f(x)dx = 18; L, g(x)dx = 5; and ſ, h(x)dx = -11 , evaluate ,[ƒ(x) + g(x) – h(x) ]dx. %3D

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Q: If w (x) = Ae^ikx for -L/2sxsL/2 ,normalize it, then A= 1 E 10 1 III O 2L .III O

A: given  ψx=Aeikx  for -L2≤x≤L2 normalize it then find the value of A first we find the complex…