24yıy2, 0< yı < 1, 0 < y2 < (0, fV1, y2) = %3D elsewhere Find the cov(Y,,Y2) is it possible for Y, and Y o beindependent?

Q: PRIXION BALLR 1. Evaluate SS R dA 2 25671 u= duy 2x'dx *dux dydy. 2X 21 2. %3D %3D %3D 10 Inliegl-In…

A: Evaluation of the double integral, by using the substitution method

Q: Find Oz/ou and oz/ov for z=4e* ln(y), x=ln(u cos(v)), y = usin(v) at the point (u, v)=(2.7/4).

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Q: dz Find when u= 0, v= 1 if z= sin(xy) + ysin(x), x = uv, y3Du² +v?. du

A: Given  z = sin(xy) +ysin(x)              x = uv and y = u2 + v2  Substituting x and y in z we have…

Q: Evaluate the triple integral |// xy dV where E is the solid tetrahedon with vertices (0,0,0), (7, 0,…

A: Consider the following: Equation of plane passing through 7,0,0,0,5,0,0,0,10x7+y5+z10=1x ​ranges…

Q: 5z dv, where E is bounded by the cylinder y2 + z2 = 9 and the planes x = 0, y = 3x, and z = 0 in the…

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Q: 6. The solid bounded by x = y², and x = 8 – 2z2 – y?.

A: To find the triple integral over the given solid bounded by x=y2,x=8-2z2-y2.

Q: Find ôz|ðu and ôzlôv for z=4e* In(y), x=ln(ucos(v)), y=usin(v) at the point (u, v) = (2, 7 | 4).

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Q: D Find the Valve of K So that the fallowing Where u= (XxXz) V= (YY) inner praduct in an.

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Q: 28. Evaluate by Green's theorem (x - cosh y) dx + (y + sinx) dy, where C is the rectangle with…

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Q: dz 6. (a) Find where z = In(2x² + y),x = Vt, y = t2/3. %3D (b) Find ди dt' az and az where z = dv…

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Q: Po Prove that fcz) = zis coutinuous at z=z. O Prove that. fZキ2。 is dis continnity at z=Zo, where Zn

A: (1) we have to prove that                                                              f(z)=z2 is…

Q: Evaluate S S f3zdV where E is the solid enclosed by z = 1 and z = x2 +y?

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Q: riable t. If 2sin (x)+4cos(y)=3a dy and dt 3, what is the val

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Q: Find dey -. The initil dx² condition Xo=0i y=10, %%=5&h=,by using yro1), given Runge -Kutta method…

A: Given second order differential equation is d2ydx2=y3                  (1) with initial condition…

Q: Gixen dw wt 3y x dt dy +2X +3 x Find the gencral oludtii, usri eign.

A: Write the given system into matrix equation as follows.

Q: HW 0 1f y=tanx show thats y" = -2Siny Cosy %3D

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Q: 4. 2a y' = y (y² + 3x?)

A: For the solution follow the next steps.

Q: du 3 ду 2x2 + 5u, %3D with u(x , 0) = 25x² + 10x + 2. slove using the following dx dr dy dr du 2x2 +…

A: We are given a first order partial differential equation and we we have to solve is using exact…

Q: Evaluate the triple integral xy dV where E is the solid tetrahedon with vertices (0, 0,0), (6, 0,…

A:

Q: a) Evaluate ff, (3 – 4x)dV where E is the region below z = 4 – xy and above the region in xy – plane…

A: To evaluate the given triple integral.

Q: Find fa, fy, and fz. f (x, y, z) = 3z In (x°y³ cos(4z)) fr = %3D fy = fz =

A: Given that , fx,y,z=3zlnx6y3cos4z find fx , fy and fz.

Q: the = x + y + 3z dt dy a) = 2y + 3z dt dz = 3z %3D dt 1. Write the linear s Find the eige envalı

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Q: Eraluate: 1. JJR e-(n^²+yv) the eincles of padii 1& 2 dady, R is the region of between.

A: As per the our guideline, we are supposed to solve only first question. Kindly repost other question…

Q: Q.2 Evaluate () dx. 2x (i) Using Trapezoidal rule by takingh = 0.2, h = 0.5 & h = 0.25. %3D %3D %3D…

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Q: Nove the followingTuation sutisfied Cauchy - Rieman. s oes W = Z 4 equation

A: For a function of form w=f(z)=u+iv is said to satisfy Cauchy-Riemann Equation if ux=vy  and uy=-vx…

Q: Numerically integrate y=x-X+4 from a-0 to b= 2 using single segment trapezoidal rule. O 12 0 8 0 6 O…

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Q: The integral JJI eV 4x2 + 4y² + 4z² dV = mt, where R is the solid hemisphere with x2 + y? + z² < 11…

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Q: Buuton 5: Expect alion and Varian ce Let X fe a oontinuous pan dom van'able and Y: a X + L you some…

A:

Q: xyz dV, where E is the rectangular box E = {(x, y, z) : –1 < x < 2,0 < y < 1, –3 < z< 0}.

A: ANSWER:

Q: Use Green's Theorem to calculate 4. [(x² – xy) dx + (y² - 2xy) dy] where C is a square with vertices…

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Q: Evaluate p(10ey – 9x)dy – (yx – 5 In x)dx by using Green's Theorem where C is a trapezium with…

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Q: ds k(4nr). dt --Select-- %3D volume dV k dt surface are ds - ). dt dV dt dV = k(4tr²). dt

A: Given evaporation rate proportional to surface area Use formula of volume and surface area to find

Q: Since z = In (x2 + y2), x = eucosv, y = eusinv əz/ðu =? az/dv =?

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Q: Evaluate the double integral I2 = || y'dzdy T where T is a triangle with vertices (-4, 0), (0, 1),…

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Q: find for x=1 the y value for partivular solutiom, (D^2+3D-10)y=0, when x=0, y=0 and x=2, y =1

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Q: Osx 5. Use the Second Fundamental Theorem to find : S V4- t3 dt (7 pts)

A: follow next step

Q: Evaluate the triple integral III xy dV where E is the solid tetrahedon with vertices (0, 0, 0),…

A: The given integral is, ∫∫∫E xydV Here E is the solid tetrahedron with vertices O0,0,0, A10,0,0,…

Q: Use the Chain Rule to find dz/dt.z = sqt(8+x^2+y^2,    x = 4 ln t,    y = cos t dz/dt=

A: Please refer to the image below

Q: Find (V.VxF), where F(x, y, z) = ln xî+exyzj+tan-¹ k.

A: According to the Bartleyby guideline, only one question can be answered. Please repost another…

Q: dy 3. da + y = 2xy?e"

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Q: siven f(x,y,z) = sin (3xy) + 3xyz3. Find fxzy(3,2,2).

A:

Q: 4. Evaluate ryz dV, S is the solid in the first octant S bounded by the cylinders x² + y² = 4 and x²…

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Q: Prove that 3x +8 Viv = dr dy: %3D where R [-1,1] x [0, 2).

A:

Q: finde general Sonotion 1- y' = See'y 2X-1 %3D 2- 3-Xy=Y+2x $ in?

A: This question can be solved by applying the concept of differential equation.

Q: Q11] Integrate counterclockwise around C. Show the details. sin3z 1) ,C:Iz| = t z2 5z3 2) ,C: Iz| =…

A: Our guidelines we are supposed to answer only one question. Kindly repost other question as the next…

Q: D.Prove that y y(2)= U12,9)+ jve (2,4) anelyli the loplale's as z, than Guetion u and v Satiglics

A: Consider an analytic function f(z) of the form . Then f(z) will satisfy the Cauchy-Reimann equation…

Q: THE DiffieRENITAL ECLATDOM WITH INITIAL conoirDON. dy- XSENX こ dx 3.2

A: Given query is to find the solution of the differential equation.

Q: Q1) Evaluate SSS, xyz dV, where Q = {(x, y, z): 0 < x < 2y, 0 < y < 1, 0 < z < x + y }.

A: Since you have asked multiple questions, we solve first question for you. For other question to be…

Q: the ( gmplicit valne ) Find differenciation of az at the given poin t. Sin (y)+ sin(yn) + Sin (z+X)…

A: