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im working on revising some topics which at the end of the school year i will have a big exam on all

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im working on revising some topics which at the end of the school year i will have a big exam on all the topics we've covered, i need to hand in couple of assignemnts and this is one of them. it is a 10 question past paper 

 

 

A curve has equation 
_ — +4vG — 15
6
dy
(a) Find —
giving the answer in simplest form.
-o
point P 4,—
3
lies on the curve.
(b) Find the equation of the normal to the curve at P. Write your answer in the form
ax + by + c — O, where a, b and c are integers to be found.
2.
(a) Show that the equation
8 tan e — 3 cose
may be rewritten in the form
3 sin29+ 8 sine — 3 —
(b) Hence solve, for O x 900, the equation
3eos2v
giving your answers to 2 decimal places.
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