1 Evaluate dV, where E lies between the spheres a? + y? + z² = 16 and E x2 + y? + z2 x? + y? + z?= 64 in the first octant.

Q: 1 Evaluate E 22 + y² + z² dV, where E lies between the spheres a? + y? + z² = 16 ar ² + y² + z² = 25…

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Q: The value of the triple integral 22 zdV where E is the upper E half of the sphere of x² + y? + z? =…

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Q: Find the value of c > 0 such that the regionbounded by the cubic y = x(x - c)2 and the x-axis on…

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Q: 8.Evaluate the triple Integral. Te by The paraboloid X=2yt + 2z? and the plane X=2. 7x dV, where E…

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Q: W hich of the following is not a cylinder? Justify your answer. y? +z?=2y

A: Given- y2+z2=2y To Find- Whether the above equation represet cylinder or not. Concept Used- A set of…

Q: wnich of the followi ng functrons is homogeneous? 5x - 12メy ty? Po.) sm xy Ci) eln xy 2

A: To find which of the following function is a homogeneous function. A)fx, y=5x3-12xy+y3B)fx,…

Q: 3) Find The solution of the intigl uglue pablem ty =y+ 3 Vy?+ yl-e) = 2 %3D of the given answers…

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Q: 4.10 Repeat Prob. 4.9 but for a copper sphere with radius = 0.15 ± 0.01 m, e = 0.90 ± 0.05, and T =…

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Q: Evaluate e dV where E is enclosed by the paraboloid z = 4+ x² + y?, the cylinder E x2 + y? = 1, and…

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Q: 2. Use spherical coordinates to evaluate the triple integral ||| æe xe²²+v²+z dV , where E is the…

A: Given:

Q: (9) Evaluate // 2² + y² + z²)³/? dV where D is the solid region in the first octant between the two…

A: Volume between the two spheres using spherical coordinates

Q: 14. Consider unit-s +-sped helix B (s) = C3 cosC ), 3sin( 등 ), 뜸 The frénet - Sewret apparats of B…

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Q: Evaluate (l. yz dV where E lies above the plane z = 0 and below the plane z = y, and inside the…

A: Given, ∫∫∫EyzdV, Where E lies above the plane z=0 and below the plane z=y and inside the cylinder…

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: 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: Use SphericalL coerdinates to evaluate the +र |राज्ट | . triple integral SSS x°*y@;=? d V, Where E…

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Q: Find thequahen. perpenditar to i fine -個 epe at OD pr Find tha liit ultpy cen gale (ro a) Po FO…

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Q: (22. //I (a² + y²) dV where E is the solid that lies between 2 spheres x² + y? + z2 = 4 and a? + y²…

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Q: 1. Evaluate the integral: SSf, xe**+y<+zt dV where B is the portion of the unit ball x² + y² + z² <…

A: Here, the region B is the portion of the unit ball x2+y2+z2≤1 that lies in the first octant.…

Q: Repeat the two-step procedure that we discussed in class to evaluate /// Vx² + y² + z² dV :…

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Q: Evaluate dV, where E is the solid in the first octant bounded by r2 +y? + z2 = 1 E and a2 + y? + z2…

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Q: Evaluate x² + y2 dV _where E is the region that lies inside the cylinder E x2 + y? = 4 and between…

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Q: Evaluate TI Vx + y2 dv, where E is the region that lies inside the cylinder x2 + y? = 1 and between…

A: In this question, we have to evaluate the triple integral by using cylindrical coordinates.

Q: W hich of the following is not a cylinder? Justify your answer. 4x² - z?= 1

A: Given that , the equation 4x2 - z2= 1 To determine given equations represent a cylinder.

Q: 5. Evaluate Sl. x2 dV where is the solid that lies within the cylinder x² + y² = 4 above the plane z…

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Q: 5. Use spherical coordinates to evaluate the triple integral ///+y²+²dV, where E is the ball: x? +y?…

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Q: a dV E where E is bounded by the cylinder a? + y? = 9, 0 0.

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Q: Find of the ay+2²7 the revolving Curve x = 2 0≤y in 2 about the y-axis is The area, S, of the…

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Q: Evaluate ||| Vx2 + y2 dV, where E is the region that lies inside the cylinder x2 + y? = 25 and…

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Q: The surface area of the solid of revolution generated by rotating 3 x = (y² + 2)ž,1 sys2 about the…

A: Given function is x=13y2+332 where 1≤y≤2. The surface area of revolution of the function is given by…

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

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

Q: Use either form of Green's Theorem to evaluate the following line integral. 03x y dx+ 4x y dy; C is…

A: According to the given information, it is required to find the value of integral using Green’s…

Q: Evaluate /|/ (x² + y² + z²)² dV where E is the solid ball centered at the origin with radius 2.

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Q: 22. Evaluate xyz dV, where E lies between the spheres p - 2 and p- 4 and above the cone - 7/3.

A: Solution:-

Q: Given that D=p²z?sina,C/m², calculate the total charge enclosed by a cylinder with radius = R1 meter…

A: Total charge enclosed = volume integral (volume charge density dv) volume charge density =…

Q: A spherical Ball8on 1s (S = 4tr²) with respect to the radius r are the following: a. 0.3 m b. 0.61 m…

A: Follow the procedure given below.

Q: 5. Evaluate SS (x² + y²) dV,where E lies between the spheres x2 +y² + z² = 4 and x² + y² + z² = 9

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Q: 1. Draw a sketch of the cylinder z= ==V36 – 4y2.

A: Given: z=1336-4y2

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: Use Green’s Theorem to evaluate ∮C squre toot of (1 + x^2)dx + 14x dy, where C is the triangle from…

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Q: 3: Find the surface area of the part of the paraboloid z = and above the first quadrant. 196 - x -y…

A: The surface area of paraboloid is defined as the sum of the area of all the faces of paraboloid. it…

Q: Evaluate e dV where E is enclosed by the paraboloid z = 5 + x? + y?, the cylinder x? + y? 5, and the…

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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: if Vx 1 dA if R is the unit circular disk. Find Lütfen birini seçin: O A. 3r(22-1) O B. 27(/2-1) OC…

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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: i Apply Green's theorem to eve luate S [rex=y)dx +Cx+g)dy], where C is the bocundaug qxis aiad the…

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Q: Consider the solid Q shown in the following figure 2.x + 3y + 3z = 6 S y? + x = 2 2 If S: 2x + 3y +…

A: The given surface is as follows: 2x+3y+3z=63z=6-2x-3yz=136-2x-3yz=2-23x-y The projection of the…