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11/16/10 10:14 AM
Sections 15.7 and 15.8 (1525284)
Question 12345678910111213
1.
Question DetailsSCalcET6 15.7.012. [825055]
Determine the type of the solid described by the given inequalities.
a quarter of a cone
a half-cone
a quarter of a paraboloid
a half-paraboloid
a parallelepiped
2.
Question DetailsSCalcET6 15.7.015. [1532994]
Sketch the solid whose volume is given by the integral and evaluate the integral.
3.
Question DetailsSCalcET6 15.7.016. [1532991]
Sketch the solid whose volume is given by the integral and evaluate the integral.
4.
Question DetailsSCalcET6 15.7.020. [1289798]
Evaluate the integral, where E is enclosed by the planes z = 0 and z = x + y + 9 and by the cylinders x2 + y2 = 16 and x2 + y2 = 25. Use
cylindrical coordinates.
5.
Question DetailsSCalcET6 15.7.028. [1533017]
Evaluate the integral by changing to cylindrical coordinates.
6.
Question DetailsSCalcET6 15.7.018. [1289740]
Evaluate the integral, where E is the solid in the first octant that lies beneath the paraboloid z = 4 - x2 - y2. Use cylindrical coordinates.
7.
Question DetailsSCalcET6 15.8.002. [1289627]
Find the rectangular coordinates of the point whose spherical coordinates are given.
(a) (4, π/2, π/2)
(x, y, z) = (
,
,
)
,
,
)
(b) (2, 3π/4, π/6)
(x, y, z) = (
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8.
11/16/10 10:14 AM
Question DetailsSCalcET6 15.8.003.MI. [1533192]
Change from rectangular to spherical coordinates.
(a) (3, 3
9.
3, 6
3)
(ρ, θ, ϕ) = (
,
,
) Tutorial (b) (0, −5, 5)
(ρ, θ, ϕ) = (
,
,
) Tutorial
Question DetailsSCalcET6 15.8.018. [1289398]
Sketch the solid whose volume is given by the integral below and evaluate the integral.
10.
Question DetailsSCalcET6 15.8.020. [828581]
Set up the triple integral of an arbitrary continuous function f(x,y,z) in cylindrical or spherical coordinates over the solid shown. Assume a =
7 and b = 9.
11.
Question DetailsSCalcET6 15.8.021.MI. [1386923]
Evaluate the integral below, where B is the ball with center the origin and radius 2.
Tutorial
12.
Question DetailsSCalcET6 15.8.026. [1289767]
Evaluate the integral below, where E lies between the spheres ρ = 3 and ρ = 4 and above the cone ϕ = π/4.
13.
Question DetailsSCalcET6 15.8.030. [1532976]
Find the volume of the solid that lies within the sphere x2 + y2 + z2 = 64, above the xy-plane, and below the following cone.
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Assignment Details
Name (AID): Sections 15.7 and 15.8 (1525284)
Submissions Allowed: 5
Category: Homework
Code:
Locked: No
Author: Simic, Slobodan ( [email protected] )
Last Saved: Nov 16, 2010 10:13 AM PST
Permission: Protected
Randomization: Person
Which graded: Last
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