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junior college 1 | H2 Maths
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Us8s
Us8s

junior college 1 chevron_right H2 Maths chevron_right Singapore

Pls help asap

Date Posted: 1 year ago
Views: 297

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Chow Tien Wei
Chow Tien Wei's answer
15 answers (A Helpful Person)
1st
It’s good to try and sketch out the graph if possible to help you to visualise the areas and volumes required. You will also be able to obtain the required limits for the integration.

Part (i): find the resultant area by subtracting the area under the graph for y=16/x^2 with the area for y = (1/2)x -1.

Part (ii): try and visualise the volume of rotation. You will realise that the volume you need is the volume obtained by revolving y = 16/x^2 around the x-axis minus the volume of a cone.

Part (iii): obtain the equations of the two lines in terms of y since you will be revolving around the y-axis. The volume required is the volume obtained by revolving both lines around the y-axis minus the volume of a cylinder.
Us8s
Us8s
1 year ago
Thank u!