III.) (20) Use polar coordinates to evaluate Dx2+y2dA where D is the part of the disk...

III.) (20)

Use polar coordinates to evaluate Dx2+y2dA where D is the part of the disk x2+y2=9 that lies above the x -axis. Sketch the region of integration.

IV.) (20) Set up a triple integral in cylindrical coordinates to find the volume of the region above the paraboloid z=x2+y2 and below the plane z=16 . (DO NOT INTEGRATE OR EVALUATE)

V.) (20) Set up a triple integral in spherical coordinates to find the volume of the solid above z=0 , below the cone z=x2+y2 and inside the sphere x2+y2+z2=16 in the first octant. (DO NOT INTEGRATE OR EVALUATE.)

Expert Solution

milcah answered 2 years ago

Use spherical coordinates. Evaluate (4 − x2 − y2) dV, where H is the solid hemisphere...

Use spherical coordinates. Evaluate (4 − x2 − y2) dV, where H is the solid hemisphere x2 + y2 + z2 ≤ 9, z ≥ 0. H

Use spherical coordinates. Evaluate Triple Integral (1 − x2 − y2) dV, where H is the...

Use spherical coordinates. Evaluate Triple Integral (1 − x2 − y2) dV, where H is the solid hemisphere x2 + y2 + z2 ≤ 9, z ≥ 0.

Use spherical coordinates. Evaluate (6 − x2 − y2) dV, where H is the solid hemisphere...

Use spherical coordinates. Evaluate (6 − x2 − y2) dV, where H is the solid hemisphere x2 + y2 + z2 ≤ 16, z ≥ 0. H

Use spherical coordinates. Evaluate (x2 + y2) dV E , where E lies between the spheres...

Use spherical coordinates. Evaluate (x2 + y2) dV E , where E lies between the spheres x2 + y2 + z2 = 1 and x2 + y2 + z2 = 9.

Use Polar coordinates to find the volume inside the sphere x2 + y2 + z2 =...

Use Polar coordinates to find the volume inside the sphere x2 + y2 + z2 = 16 and outside the cone z2 = 3x2 +3y2.

Use the Divergence Theorem to evaluate ∫ ∫ S F ⋅ d S where F=〈2x^3,2y^3,4z^3〉 and...

Use the Divergence Theorem to evaluate ∫ ∫ S F ⋅ d S where F=〈2x^3,2y^3,4z^3〉 and  S is the sphere x2+y2+z2=16 oriented by the outward normal.

PART D: Several years ago Polar Inc. acquired an 80% interest in Icecap Co. The book...

PART D: Several years ago Polar Inc. acquired an 80% interest in Icecap Co. The book values of Icecap's asset and liability accounts at that time were considered to be equal to their fair values. Polar’s acquisition value corresponded to the underlying book value of Icecap so that no allocations or goodwill resulted from the transfer. The following selected account balances were from the individual financial records of these two companies as of December 31, 2018: Assume that Icecap sold...

Use the Divergence Theorem to evaluate ∫∫ ? ∙ ?? where ? = ??2 ?⃑+ (??2...

Use the Divergence Theorem to evaluate ∫∫ ? ∙ ?? where ? = ??2 ?⃑+ (??2 − 3?4 )?⃑+ (?3 + ?2 )? and S is the surface of the sphere of radius 4 with ? ≤ 0 and ? ≤ 0 . would spherical coordinates work?

Use spherical coordinates to evaluate the triple integral ∭e^−(x^2+y^2+z^2)/(x^2 + y^2 + z^2) dV , Where...

Use spherical coordinates to evaluate the triple integral ∭e^−(x^2+y^2+z^2)/(x^2 + y^2 + z^2) dV , Where E is the region bounded by the spheres x^2 + y^2 + z^2 = 4 and x^2 + y^2 + z^2 = 9

PART III. (20 percent) – The following audit procedures are taken from an audit program. Example:...

PART III. (20 percent) – The following audit procedures are taken from an audit program. Example: Compare dates of receiving reports and vendors’ invoices with dates in the acquisitions journal. 1. Foot the outstanding checklist and deposits in transit. 2. Examine printouts of transactions rejected by the computer as having non-existent employee numbers. 3. Inquire about consignment or customer inventory included on client’s premises. 4. Compare pay rates with union contract, approval by board of directors, or other sources. 5....

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