Use spherical coordinates. Evaluate JIS ² z dv, where E lies between the spheres x² + y² + z² = 1 and x² + y² + z² = 16 in the first octant.

Q: Suppose F = (y + 7x, 8x + 2z, 7y + 3x) and S is a surface bounded by C, a circle with radius 4,…

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Q: #3 Find cartesian ² (05 (20)=1 equation fox curve (X) Enit!

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Q: Let S = Þ (D), where D = {(u, v) : u² + v² ≤ 1, u ≥ 0, v ≥ 0} and Þ (u, v) = (2u + 1, u − v, 3u +…

A: Let , where and . To Find:a) Surface integral.b)Double integral .

Q: For any prime p, establish each of the assertions below: (a) t(p!) = 2t((p – 1)!). (b) o(p!) = (p +…

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A: Given Mean=246300, standard deviations=15000 P(a<X<b)=0.90

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Q: U ub 1+8 3 Find Sum $Me [218]

A: Ans= 65/8 For detail.....go through the solution...I gave done solution in detail

Q: Use the Divergence Theorem to evaluate the flux of the field F(x, y, z) = (x + z², xz + y², zx - y)…

A: : underline;" data-mce-style="text-decoration: underline;">Given Information:Field bounds the…

Q: 11. Distance Traveled to Work A recent study of 28 employees of XYZ company showed that the mean of…

A: Distance Traveled to Work A recent study of 28 employees of XYZ company showed that the mean of…

Q: 57

A: The length of the ladder is 20 ft Angle between ladder and ground is 72° To find the height

Q: Use a normal approximation to find the probability of the indicated number of voters. In this case,…

A: Givenn=125p=22%=0.22x~B(125,0.22) For normal approximationMean (μ)=np=125×0.22=27.5So (σ) = npq =…

Q: 00 { (1+()" ^ = |_ Find ( 1=2 #98.2

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Q: Calculate curl(F) and then apply Stokes' Theorem to compute the flux of curl(F) through the surface…

A: Given vector function \)" style="cursor: default;" data-mce-style="cursor: default;">F→=⟨x+y ,…

Q: Find the 95% confidence interval of the true mean.

A: Let  be the population mean.Given that,Sample size Sample mean Standard deviation Confidence level

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Q: Let F = (z,0. y) and let S be the oriented surface parametrized by (u, v) = (u² – v, u, v²) for 0 <…

A: (a) First, find the tangent vectors: Tu=∂ϕ∂u=2u,1,0Tv=∂ϕ∂v=−1,0,2v The vector N is the cross product…

Q: Find the centroid of the region W lying above the sphere x2 + y + z? = 30 and below the paraboloid z…

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Q: Use the Midpoint Rule with n = 7 to approximate 5.5 S x³ dx - 1.5

A: Midpoint rule

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A: Vector field: The surface is  for .We have to find: