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Q: In Exercises 29–31, find the equation of the line tangent to thesurface at the given point P and in…

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Q: Given: m< = m<3: m <2 = m <4 - Prove: m<ABC = m<DEF

A: Given diagram is as follows: Given that, m<1 = m<3 ............. (1) m<2 = m<4…

Q: Q #2 Let X - R" and ne N and z = 3 X,.G V neN where Gn = { (miy) €R* : y>nuf. gs z a topoligy on X.…

A: Topology means it should satisfy 3 conditions  Empty set and whole set should belong to tau.…

Q: What is the exterior of the A. {2 € 0:1 21 >2} 3. { 26.0:12/51} annulus {2€ C:1 ≤|²|≤ 2}? c. { z €…

A: We have to solve given problems:

Q: 6Fnd the selution-of He intial ualue oproblemy =t²y%,y()%=D-L. A) yL) = VT VG-2 B) yt) = V2-2 c) YLJ…

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Q: state stoker the osem and texify teus thieoxem when A = (X+y)i +y-x\j t °k and s Ts the hemisphese…

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

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Q: 5 Considor the inter ral I= i) Estimate I using n=4 trapezids. = -3 2) Estimste I using Simpson's…

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Q: Find length of the cardioid r-a03from 0 0 to 0 t %3D

A: To find Length of cardioid r=aθ3  where θ=0 to θ=π

Q: (a) Let the interval a, b be divided into n equal sub-intervals such that a = x0 < a1 < x2 < x3…

A: From this general formula we can obtain different integration formulae by putting n=1, 2,3 etc. We…

Q: Standardized Exp(1) N(0, 1) Standardized Exp(1) - N(0, 1) 30 35 40 45 50 In this quuton , the mill…

A: Solution: As per the guidelines first three parts should be answered.

Q: (h) Ã(x, y, z) = yɛ, – xë, (i) Ã(x, y, z) = ex + ey x² + y?

A: For the conversion between cylindrical and Cartesian coordinates,  the z-coordinate is the same in…

Q: my ud dhe distonce Ketian hahuun the gron pune ond the gren fonte Amt:(-2,3,1)

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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: facte you learned in phra class. Standardized Exp(1) N(0, 1) Standardized Exp(1) N(0, 1) 35 40 45 50…

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Q: Huero the init value problemi Cx?-Dy"-cacGx)y +3y = x , y \, find the largest intervad of validity…

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Q: now using MGF technique that if Z, ~ N(0,1), for i=1,2,3,4,5, then U = Ez ~ x² with degrees of…

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Q: a'nın hangi değeri ya da değerleri için aşağıdaki lineer sistemin tek çözümü vardır ? *+y- z = 2 * +…

A: If the coefficient matrix is invertible then the system has unique solution

Q: Evaluate ſ √x² + y²dxdy over the triangle with corners (0,0), (4,4), and (4,0) using x = u, y = uv.

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Q: Q: Prove the trans ferm; formula's by definition of Lapia (Dirac Delta fauncden) %3D

A: A delta function is defined as δ(t-a)=0     for t≠a∞   for t=a      . The fundamental property of…

Q: y = (1,y) O A. 2uv %3D O B. a(u,v) -2uv (1,y) OC. d(u,v) O D. 0(1,y) 0(u,v) 24 E. None of the…

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A: fx=-9x+142x2+9x Now,…

Q: aw Given w=xysin(z²), x=s-t, y=s², z t². Find www ax = ysin z² Option 1 aw əx Option 3 = -ysin z² Əw…

A: In partial derivative with respect to x, the terms of y and z are treated as constant.

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A: According to the given information, Let R be a rectangle with corners at (a,a), (-a,a), (a,-a), and…

Q: Mis the midpoint of AB. Select all of the following staterments that are true. O AM = MB %3D BAM =…

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Q: (3) = 2 u + U, =D2 at ucx, t) fipdy ing the following initial condition : - -3X U(x,0) = 6e

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Q: carulate the aistance between pointS k=(0,9) and . G7= -6,6) inthe.coordmate Diane. mo0 Cnuer :…

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Q: 2. Ostain the geweval folu fion a. my = nxydx b. (@ x*+y') = {ry y' c. xy = Y(x* + sy) y' %3D

A: Given differential equation is as  my2=nxydx/dy  Note : without introduction of dy whcih cant…

Q: az and ди az Q3. Evaluate at given point (u,v), z = 4e*lny, x = Inu cosv, av y = usinv at point(u,v)…

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Q: Evaluete s Jeu sin (*) de useing tva Pe 2oidal and SimPson methods Take TT %3D 8.

A: Using Trapezoidal Rule and Simpson method to Evaluate the given Integral

Q: elsewnete Find all the joint moments m„1, n and k = 0, 1...

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Q: c) Sinh3u= Sinh’u+ 3Cosh’u.Sinhu = 3 Sinhu + 4Sinh’u d) Sinh'u- Sinh'v = Cosh'u– Cosh'v

A: We have to prove the following results

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Q: 2. 2sin(хy) at x D 2, у3D Зя/4 3. z= In(x + 1) + y° at the point (0,3,9)

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Q: (p;-q,)? 2. Prove that KLD(p||q) = J6 t Eisisn pitt(ai-p) dt. %3D

A: Given: To show the given statement as follows: KLD (p|| q) = ∫01t ∑1 ≤i ≤ n pi-qi2pi+i( qi- pi) dt

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Q: az and ди az Q3. Evaluate at given point (u,v), z = 4e*lny, x = Inu cosv, dv y = usinv at point(u,v)…

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Q: Sdue the qllowing intial value problem dr ss=ス Sim xe,rc)=3 de Type as aexact rz? anwser, using…

A: Given equation is- drdθ=πsinπθ Then, ∫dr=∫πsinπθdθr=π-cosπθπ+cr=-cosπθ+c

Q: mith Exe:- Jk +3 - tyk+Z +ZYkxi +36Yx =1+2

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Q: 3. Find the point (s) on r = 3 - y? that are closest to point A=(1,0). 1.5 0.5 A= (1, 0) -3.5 -3…

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Q: gian a beam of totel length lom. The bondary con dibns qve: You Owe T(x=0,t)= 150 c T(x-10, Đ= 30°c…

A: Given a beam of length 10m.  With R=1, the heat equation is ∂T∂t=∂2T∂x2---1 Its boundary conditions…

Q: I need help with this question: 6) These are the lengths of ¾ in screws produced by a particular…

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Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.