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2017 hsc maths solutions (1 Viewer)

1729

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13 bi and ii. The volume of the tan3x graph please =) and 12 aii) find the value of k.
I think there is an error in Q13, that is definitely not the graph of y = tan(3x) and even if we ignored the graph, the required integral is divergent, so just ignore this question.

And for Q12, I don't know if I'm hallucinating or there's actually no k in the whole question.
 

ichila101

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13 bi and ii. The volume of the tan3x graph please =) and 12 aii) find the value of k.
In case your asking for 13 bi, the solution is:
LHS = tan^2θ + 1
= sin^2θ/cos^2θ + 1
= (sin^2θ + cos^2θ)/cos^2θ
= 1/cos^2θ
= sec^2θ
= RHS

For 13bii as 1729 that's an error as well as for 12biii since there is no k

For 12aii)
the axis of symmetry equation is x= -2
 

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