o integration with cylindrical coordinates o integration with spherical coordinates 1. Let E denote the region inside the paraboloid z = x² + y² and below 1 •SE dV. the plane z 2. Compute = E √x² + y²

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Q: Using spherical coordinates to evaluate the triple integral zdV, where D= {(r,y, 2) E R : a s? +y +…

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Q: Determine the x- and y-coordinates of the centroid of the shaded area. у 0.64 al Answer: (X, ỹ) = (…

A: Answer:----.                       Date:----20/10/2021

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Q: Use spherical coordinates to evaluate the triple integral e¯(x²+y²+z²) /x² + y² + z² where E is the…

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Q: Use cylindrical coordinates. Evaluate the integral, where E is enclosed by the paraboloid z = 7 + x…

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Q: Q.14 The integral of the vector A(p, p, z) = "coso ô (standard notation for cylindrical coordinates…

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Q: Find the flux of F (x, y, z) = 4.xi+ 4yj+ 2k outward (away from the z-axis) through the surface cut…

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Q: Use spherical coordinates to evaluate the triple integral e¯(x²+y²+z²) x² + y² + z² SIS E Answer: =…

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Q: Calculate ff f(x, y, z) d.S for the given surface and function. x² + y² = 25, 0≤z≤4; ƒ(x, y, z) =…

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Q: Find the moments of inertia I, I, Io for the lamina below. Ix Iy Io II II || D is bounded by y = ex,…

A: The given Lamina is: D=y=ex,  y=0,  x=0  and  x=1ρ(x, y)=17y

Q: Determine the x- and y-coordinates of the centroid of the shaded area shown. 8" 17" 3",3" -1.50" 17"…

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Q: Evaluate the surface integral J G(x,.y.z) do using a parametric description of the surface. S 2 2…

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Q: y y = 1 (1, 1) A X=1 y=x² с X (0,0) Region A is bounded by the parabola x = y², the line y = 1, and…

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

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Q: GeoGebrä Task 1: This rectangle has been decomposed along its diagonal. Recompose the two pieces to…

A: A rectangle is a closed quadrilateral with four sides and four angles. All the four angles of the…

Q: Use a parametrization to express the area of the surface as a double integral. Then evaluate the…

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Q: y y=x³ a Determine the x and y coordinates of the centroids between the curve and the horizonntal…

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Q: dy - (2xy + y ²) 2+ dx B) Write the equation for the tangent line where x = 2 and y = 1. (2,1) 16 FL…

A: I am attaching image so that you understand each and every step.

Q: a y = h an xn h X Locate the centroid of the area. Express your answer in terms of some or all of…

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Q: Evaluate fla Vx² + y?dV ,where Ris the region that lies inside the cylinder x? + y? = 16 and R…

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Q: Using spherical coordinates calculate ſezsqrt(x²+y²)dV where E={(x,y,z) | x²+y²+z²0,y>0,z>0}

A: To find- Use spherical coordinates calculate ∭Ezx2 + y2 dV where E = x, y, z | x2 + y2 + z2 ≤ 4, x…

Q: Evaluate the line integral fe F - dr, where F(z, y, z) = -ri + 4yj + 5zk and C is given by the…

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