Given: z = a? + xy*, x = uv² + w*, y = u + ve" dz Find when u = - 2, v = 1, w = 0 du

Q: Given that p, = x² +xy, calcultae p, ds, over the region, y <x,0 <x < 1.

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Q: GIVEN: RT = RV TS =VS PROVE: ZRST = ZRSV

A: Given that: RT=RV, TS=VS

Q: Solve the initial valwe problem using Laploce trensformotion. y (4) + 2y'(+) +5y(+) = esint y lo)-0…

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Q: 5. If u = e1#1+az#2++anIn, where a² + a³ + · ·..+ a = 1, show %3D + = U dx?

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Q: Evaluate * ISS 9z dV E where E is enclosed by z = x? + y? and z = 1 4JT O 3T O 27 ол

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Q: In(u cos v) and y = usin v. Evaluate and z at the point 2е" In y, x 3D (u, v) = (2, 7/4). Let z = du…

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Q: 18. Ris the annulus in the first and second quadrants bounded by x +y² = 9 and x² + y = 36; 8(x, y)…

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Q: Find the areas of the regions . 1. Inside the oval limaçon r = 4 + 2 cos u 2. Inside the cardioid r…

A: Replace the variable u with θ The area inside the oval limaçon is given as, Where, a=0 and b=2π…

Q: A=LDU where D-) then the humber of special solubion s bo Ax =0 is equal a-1/b.e/c.2/d.camt be deubie…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Ở. verify that y10) is a constont soluion b. Find all Solurions to DE C. Find two dirrerent…

A: According to the problem, we have

Q: If z=sin(x^2+y^2),x=vcos(u),y=vsin(u) find ∂z/∂u and ∂z/∂v.   ∂z/∂u= ∂z/∂v=

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Q: The path integral v- dr, where v = (sin y, x - cos y) and C is the perimeter of the triangle formed…

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Q: Compute the irertia móment by x ( Ix=Sy?JA) tor number off segment n=s hyte multple-trapezoidal…

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Q: 1 Evaluate dV, where E lies between the spheres x + y + z = 16 and + y? + z2 = 64 in the first…

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Q: Solve the boundary value problem (BVP) dy? 0 = in a square enclosure (0, 1] x [0, 1), subject to (x,…

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Q: 10 q/ asing the TracZoidal Rue with n= dx Swbintevals, evalute the in tey ral I+2 and compare as…

A: Find the attachment

Q: 2 Given: JK || LM, I| KM Prove: AJKL AMLK K

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Q: Let ry w = and a = 2s + t, y = st, z = 2s - t dw dw Find ds' at

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Q: 7 Prove : id Is perpendicular line to ra duic at its outer end point ,then t ang ent to the cirde is

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Q: 1: is Simpson Rule method or Trapezoidal Rule method is accuracy 1- L,1-e dx,, 8 = 10-9, N = 12

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Q: 27. Evaluate xe +y+ dV, where E is the portion of the unit ball 22 + y? + z? <1 that lies in the…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 4 Given: ASVT-AWYX with moasuros as shown Find: WY and VT 10

A: Given data: ∆SVT~∆WYX The length of the side SV=7 The length of the side ST=10. The length of the…

Q: 1. Evaluate ff. y dS where S is the portion of the cylinder 4x2 + 2y2 = 16 that lies between z = 0…

A: Since you have asked for a question with multiple sub-parts, we will solve the first question for…

Q: Given w = In(") + 8z*y* /z find %3D mmadı zerinden mmis xy + 12.x ayu Ob. 72x y 12E +96x'y Od.…

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Q: We have e+y dA = n(e-2) where B is the interior of t radius 2 and centered at the origin. Select…

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Q: 3 Evaluate the gwen tri ple in legral. xsiny dy dz dx

A: Order of triple integral dydzdx

Q: π If the area inside the cardioid r = 8 +8 cos 0 but outside the circle r = 5 cos 0 is A then what…

A: The area is:-

Q: MLx,y) dx +x(x,g) dy. 1 chek the Coudi'tied deu Jy dx ® intey.coke MWirit X reyarding y as coustunt.…

A: SOLUTION

Q: Evample: y-xy, Yu)=1 and h:o.l a pproximale Y(1 3) using improved Euler Muthocd.

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Q: 10- Evaluate JJI where E is the region that lies inside the cylinder Vx2 + y?dV E x? + y? = = 16 and…

A: Here we use polar coordinate and Jacobian .

Q: Given y = Va In æ , what is dy dr In z+2 In z+y7 dy dr dy dr In z-2 dy In z-I dr ||

A: Given,

Q: is Simpson Rule method or Trapezoidal Rule method is accuracy: 1- L1-e dx, , 8 = 10-9, N = 12 %3D

A: Use the following formulae, to evaluate the definite integral. Trapezoidal Rule:…

Q: Evaluate SSS 12z dV E where E is enclosed by z = x? + y? and z = 1

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Q: inlyralf Evaluste the +2) ě Snz.dz whre CiI21= 1, by any tw o methode and compone the resalt.

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Q: A string of length 1m attached with two points. The deflection in the string is given by y" + Ay =…

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Q: l, arctan( y/x) dA, where R = {(x, y) |1<x° + y° < 4, 0 < y< x} %3D

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Q: 1. Evaluate ſſ, y dS where S is the portion of the cylinder 4x² + 2y² = 16 %3D that lies between z =…

A: Given S is portion of cylinder 4x2+2y2=16 that lies between z=0 and z=7. Parametrize the surface s.…

Q: Given: ARST = AXYZ; SK bisects ZRST; K YL bisects 2XYZ. Prove: SK = YL S

A: Prove SK≅YL.

Q: 16. WXYZ is an isosceles trapezold with WX ZY If mĐW = (2x)° and mĐZ = (x +27)°, find the value of…

A: We have to find x

Q: The path integral fv· dr, where v = (sin y, x – cos y) and C is the perimeter of the triangle formed…

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Q: 3 Prove Prive that d tin'u e I du

A: As we now the identity tan2(x) +1=sec2(x)

Q: If y = tan u, u = v - and v = In x, what is the value of at x = e? dx sec?e 1 O Option 4 O Option 3…

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Q: 1 Evaluate dV, where E lies between the spheres a? + y? + z² = 16 and E x2 + y? + z2 x? + y? + z?=…

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Q: 1 SI. Evaluate dV, where E lies between the spheres x2 + y? + z? a2 + y? + z2 = 1 and æ? + y? + z²…

A: According to bartleby guidelines when student post more than one question then expert must have to…

Q: Evaluate xy dS. S: z = 3 – x – y, first octant

A: Given query is to find the double integral in first octane.

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: 1 +y = zy" dy dr

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Q: While evaluating the approximate value of 2 dz, using Trapezoidal rule, taking h = 0.5, the value of…

A: As we know that the expression for the step size is:   h=b-aN   Where,   b=upper limit. a=lower…