I need help with a Calc 3 test thlat I'll have to take on 5/7/21 at 2pm

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I need help with a Calc 3 test thlat I'll have to take on 5/7/21 at 2pm
Answered 1 days AfterMay 04, 2021

Answer To: I need help with a Calc 3 test thlat I'll have to take on 5/7/21 at 2pm

Rajeswari answered on May 06 2021
138 Votes
83060 assignment
Qno.1
Consider the region D given by a triangle with vertices (0, 0), (3, 0) and
(0, 3).
(a) Sketch the region. (2pts)
(b) Write the region in set builder notation as Type I and Type II. (5 pts)
(c) Compute the volume of the solid under the graph of f(x, y) = sin(y) and above the region D. (Hint: Integrate with respect to y first.) (8 pts)
a)
b) In set builder notation we can write {(x,y}, 0≤x≤3, 0≤y≤3-x}
c) We are to find volume of solid under f(x,y) = siny and above the region.
Volume can be found by triple integrals as 0Volume = V =
=
=(x-3)sin(x-3) +2cos (x-3)
Substitute limits for x
Volume = -3sin3 -2cos 3 +2
= 3.5566 approxy
2.
The figure below depicts the graph of f(r, θ) = sin(2θ). Let D be the shaded region (ignore the...
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