Output for Convergence Team Lab
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Problem 1
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Part 1.a: Area at X = 0 is 14.1372
Part 1.b: Volume of entire hemisphere is 56.5487
Using integrals, volume is 56.5487
Part 1.c: When X = 0 the volume is 28.2743
Problem 2
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Part 2.a:
The area at t = 1 is 0
The area at t = 2 is 25.1327
The area at t = 3 is 0
Part 2.b:
The volume at t = 2 is 15.5504
The volume at t = 3 is 39.4784
Part 2.c:
Warning: Minimum step size reached; singularity possible.
> In quad at 88
In volumeTorus2 at 6
In convergeTL at 55
The volume at t = 1 is 0
The volume at t = 2 is 15.5504
The volume at t = 3 is 39.4784
Part 2.d: The value of t where volume = 20 is 2.1706
Problem 3
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The value of t where volume = 20 is 0.40965