Year 12s: what will be the first way you research your future options? >>

Help with a few questions

Need some help with these questions :smile:

https://gyazo.com/9b7de316a2356e23565e8b6765c91014
https://gyazo.com/9d5a01000944bfab4aca90fd161bf267
https://gyazo.com/eda9b579ab405c6dfa8324b3b0a7d9f0

Reply 1

RDKGames

Study Forum Helper

Original post by James11223

Need some help with these questions :smile:

https://gyazo.com/9b7de316a2356e23565e8b6765c91014
https://gyazo.com/9d5a01000944bfab4aca90fd161bf267
https://gyazo.com/eda9b579ab405c6dfa8324b3b0a7d9f0

For Q9, use the fact that

\tan x \equiv \dfrac{\sin x }{\cos x}

to determine

\tan 15

, then square it.

For Q11, we get that

8000 = \pi r^2 h

. Too late in the evening for me to think about this one, but after a quick glance I can say that you wish to minimise the radius as well as the height by the looks of it.

For Q10, use the fact that

(1+x)^n = 1+nx+\dfrac{n(n-1)x^2}{2} + \dfrac{n(n-1)(n-2)x^3}{6} + \ldots

to pick out your coefficients and make an equality based on the info in the question.

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