8. Using cylindrical coordinates, find 0≤x≤ 2. W with dv, with y²dV, a a region W given by x² + y² ≤ 36 and inat compute

Q: Use spherical coordinates to evaluate /R Vx2 + y² + z² dV , where B is the ball x² + y? + z? < 10 В

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Q: Which of the following integral is the integral S, S S,(r² + y?)dzdydæ in the cylindrical…

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Q: 2. Let r > 0, and let R be the semicircular region bounded below by the x axis and above by the…

A: Consider the provided question, Let r &gt; 0, and let R be the semicircular region bounded below by…

Q: 5. . Find sSSzdv where D is the 2 solid bounded by xty'tz=4 and 2= 13x²+ 3y2. (" sce Cueam Come')

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Q: Find the average squared distance between the origin and thepoints on the paraboloid z = 4 - x2 -…

A: Given: Paraboloid: z=4-x2-y2, z≥0 To find the Average squared distance.

Q: a) Compute the area of the surface z=4−(x^2)−(y^2) in upper half space {z≥0}. b) If F = (x)i +…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Use cylindrical coordinates to evaluate fffxdV where E is the region bounded by z = 1 = 2x² + 2y²…

A: By using cylindrical coordinates to evaluate the given integral.

Q: 27. Find the volume of an ice cream cone bounded by the hemisphere z '8 – x² – y² and the cone z Va2…

A: Given hemisphere z=8-x2-y2 and cone z=x2+y2 The intersection of hemisphere and cone is given by…

Q: Use spherical coordinater to set up the integmal SzdV, the integral SSSz dV, where Q lies between…

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Q: evaluate the integrals around the circle Iz| = 2, counterclockwise. 9) 1 = dz, Find |I| 4z2+9 z+1 8)…

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Q: Let M and m be the maximum and minimum values of Ax, y) = 5x + 4y on the region x +y < 49 . Then…

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Q: Find the center of mass of a thin plate of constant density 6 covering the given region. The region…

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Q: the boundary of What is a. {2€ C: 12 =2} b. {2 € C: 121 =1} annulus {z EC: 1 ≤ /2/ ≤ 2} ? c. {ZE:…

A: An annulus is a plane figure whose boundary consists of 2 concentric circles .

Q: if A=i+j+X, B=zi-j+3ksfind vector normal to B and in plane of A and B- ans. $2(3i+9j+x)

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Q: 10. If is the unit outward drawn normal to any closed surface (S) bounding the region (V), prove…

A: Given is the unit out ward normal vector to any closed surface  bounding the region .We have to…

Q: 9. Find the surface area of the paraboloid z = x²+y²/2 which is outside the cone z = √x² + y².

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Q: 4x with 0 < x< 3 about the x-axis. 3 Find the area of the surface generated by revolving the curve…

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Q: 9. Find the average distance from the origin to a point between the spheres x² + y² + z² = 1 and x²…

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Q: Use cylindrical co-ordinates to evaluate [[[: Select one: dz dy da

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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: Use cylindrical coordinates. Evaluate JIS. √x² + y² dv, where E is the region that lies inside the…

A: Evaluate the integral.

Q: 0. 50 TT+4 7.) A cylindrical can, with lid, must hold 2 liters of liquid (2000 cm'). Find the height…

A: Let height = h and radius of the base = r. Then, volume V = πr2h = 2000 cc    .........[1]and…

Q: Calculate the Pntegrals over the defined region . y=-2x and y=1-2x on paralleberaM clased with Rhes.…

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Q: A region R consists of a square bounded by the lines x = -5, x = 5, y = 0, and y = -10 and a half…

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Q: 10. Calculate the area of the shaded region bounded by the curves y = 1+4cos'x and y=-sinx, as…

A: From the given figure to find the area enclosed by the given region is bounded by the above from…

Q: Solve the questions given below using the Fundamental Theorem of Calculus. cos a 1 dt, where g(x) =…

A: Introduction: When we perform differentiation of a function that is represented under the integral…

Q: Let S be the solid of revolution obtained by revolving about the x-axis the bounded region R…

A: Given:

Q: Find the si0pe of the given Function メト at メ= y' 1.) u= Vler*) at x = 2) 4= In(3メ-2) a+ x= こ %3D

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