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junior college 1 | H2 Maths
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Elaine
Elaine

junior college 1 chevron_right H2 Maths chevron_right Singapore

Please help thank you!

Date Posted: 4 years ago
Views: 520

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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
Correct is this expression which equates to 7.219187054.

I am currently troubleshooting my previous answer, but if I am unable to find out the exact error in 15 minutes, I will continue at night.

The shape of the volume of rotation is something like a conical flask.
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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
Corrected
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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
Here is the relevant sketch of the graph using Desmos. In that interval, the coordinates of the intercepts are (-pi/2, 0) for the x-intercept and (0, 1) for the y-intercept. The vertical blue and green lines are the boundary conditions for the curve.
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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
Second part
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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
Third part. Not so sure about this one.

The squaring of the f(x) in this integral negates the need to split the integral into the regions -2 to -pi/2 and -pi/2 to 1.
Eric Nicholas K
Eric Nicholas K
4 years ago
Hang on. Something is not right with my answer. Correct is 7.219.
Eric Nicholas K
Eric Nicholas K
4 years ago
Never mind, how stupid of me. The limits are 1 and -2, not 2 and -1. Rewriting my workings soon.

Edit: Corrected two posts later.