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Q: 20. Use u substitution to evaluate. S secrtant 1+secx dx

A: Evaluation of the indefinite integral by substitution method

Q: Evaluate (zy yz + zz)dV [+] B {(z, y, z) | 0< z < 4,0 < y S 10, 0 <z< 4}. %3D

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Q: ASsignment ind to wnwyun 8 ans 2n+3

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Q: If X1, X2,. . . ., X, ~ N(22, o²) and S 4, then P(X < 23.863) %3D Select one: O a. 0.975 O b. 0.99 O…

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Q: Considere la circunferencia C = (x – 2)² + (y + 6)² = 10 %3D cuyo centro se desplaza 2 unidades a la…

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Q: For each fraction, a. %3D 12 2 %3D 24 3 35 || 1/2 65 b. C.

A: Let 12=x12 The, on performing cross multiplication,  2·x=12x=6 So, 12=612

Q: Prove that fVf · dr = 0.

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Q: Q\. Find the point (agy) of n?t14ay+ 4942=100 that is ,closest, to the lies in the firdt quodrant.…

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Q: التاريخ Re.v. 1000 o12* 007 1.002*10-3 Res O Re= ぐつ piv.D 1000n014 xo027 7.002*103 Re= Res.V.D

A: Here we have to find the value of Re

Q: . Eualuati losh (12)d2 uhere. C di the Ciscube. lel=2

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Q: If X; n Ν (μ, σ) : write down the mgf of X where X1, X2,..., X, are independent and identify it i=1

A: The given information is: Xi~Nμ, σ Where X1, X2,... Xn  are independent The pdf of normal…

Q: T, _ Sol- e — Scanned Selve M equadden o'y 6% sax)

A: Given,              y''-y'=5ex-sin(2x)

Q: Evaluate SS 5ex+y+" dV over B where B = {(x, y, z) : x² + + z² < 1}. Take = 3.

A: The integrals in the form ∭f(x,y,z)dV is called a triple integral. In this problem, we have to…

Q: Given show =5 how dy %3D

A: differentiate y with respect to x .

Q: 3. For Z= xtanxy,evaluate Zyy

A: The given function Z=x tanxy We have to find Zyy.

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: 1. If r = xi + yj + zk and r = |r|, show that (i) div 0, %3D (ii) div (grad ") = n (n + 1) r" - 2…

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Q: Sub. sefve the intetal equation UL) = (X-1)e-< +4/ e

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Q: If X is a RV with p.d.f f(x) = in of Y=2X-3. 2 1 in 1<x<5 and =0, otherwise. Find the p.d.f

A: Probability value for the random variable for distinct random variable is denoted using the…

Q: Q: Examine y (o.4), Using Runge - Kutta Order 4 method if X = 4n + 2

A: Given y′=4x2+2y,      y(0)=1,   h=0.1,   we have to find y(0.4).Forth order R-K…

Q: IF f (x,y) fo FIMD fxx

A: We have to find partial derivative of f(x,y).

Q: 2. Let G = Z,xZ4, and find [G:H] for: a) H = {0}xZ4. %3D

A: We have to find [G:H]

Q: 1. Which of the following statements are true? I. If A and B are independent then A' and B are…

A: 1. III.…

Q: B. Y If XIA and IB, then

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Q: f (て) be a top. space 3.ト X-Tab, cidiel (xて) be top space %3D %3D et A= {bj. FindO A Tb,d] %3D 2.…

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Q: の dy Sーメ+ リーX +5

A: This is a problem related to differential equation. Based on the general formula we will solve the…

Q: Let X=(1,0, – 1,-V2)'. Then, ||X||2 = Select one: а. 3 O b. 4 C. 2 O d. 1

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Q: F 6) Frud the weasuves of all six augles of hexaqou MCA= 2X+ら ABz X-10 WCC =X+5 TucD=x u CE = x+1S…

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Q: Let z(x,y) = 4 x ² + 4 y ² where x = Calculate az & dz 다음 as x = 9s-5t '& y= 2S-7t

A: to find the values of then

Q: If P(A)=0.508, What is P(A)? Where A' is the complement of A.

A: If P(A) is probability of occurrence of event A Than P(A') is the probability of not occurrence of…

Q: x 3 = 3 %3D 2 x (3 x 6) - ( × C x 3) %! 7 x 0 = 0 %3D 4 x 9 X 4 %3D

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Q: Let C: |z-i=3 and I = §. dz 2z dz. Then %3D

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Q: What score separates the top 1% of students from the bottom 99% ?

A: Given Information: Mean μ=80 Standard deviation σ=20

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Q: 1. Let Fa) = {8 %3D OTherwise J a Find c m0r Fined PA>と+Q)

A: if it is a probability density function then