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Mathematics: Post your doubts here!

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y = a/x = a x^-1

the volume is given by integrating πy^2. Here y is the equation of the line.
We're given Volume when rotated about x-axis is 24π.

24π = ∫ π (a * x^-1)^2 dx
24π = ∫ π (a^2 * x^-2) dx
24π = a^2 π ∫ (x^-2) dx
24 = a ^2 ∫ (x^-2) dx
Now integrate and put the limits:
24 = a^2 (1/3 - 1/1)
solve it to get:
a^2 = 36
=> a = 6 Ans.
 
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y = a/x = a x^-1

the volume is given by integrating πy^2. Here y is the equation of the line.
We're given Volume when rotated about x-axis is 24π.

24π = ∫ π (a * x^-1)^2 dx
24π = ∫ π (a^2 * x^-2) dx
24π = a^2 π ∫ (x^-2) dx
24 = a ^2 ∫ (x^-2) dx
Now integrate and put the limits:
24 = a^2 (1/3 - 1/1)
solve it to get:
a^2 = 36
=> a = 6 Ans.
thank you
 
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9(ii) please with all steps. In part (i) the partial fractions are A=6, and Bx+C (B=-2)(C=1)

In Q.10 i need help in finding Alpha and Beta angles. Got P and Q. image.jpeg
 
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For part b why dont we use d sin theta over here?
Also if resistive forces were given will we use d or d sin theta?
m1.png
 
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