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Also for question 14cii, is using the concavities from the graph a solution? y=sinx is concaving down at x0. y=sin(x-a)+k is concaving up at x0. So therefore (after differentiating them twice) -sin(x0)=sin(x0-a)

What would around a 62 scale to?

I.e x1>alpha>x2 can not be true since x2>x1

You don't need to say that the function is continuous and increasing in the given domain. The question stated that K was a positive integer with x1. Since x2 is K+(1/K^2), the x2 must be greater than x1 since (1/K^2)>0. From this, it can be deduced that the root alpha must lie between x2 and x1...

Bro what the hell. I think I got 23 raw mark :(

For the GP (root5+root3)+(root5-root3)+....., verify that S(infinity)=Term1 + (root3)/3

Let H and K be the points representing the roots of x^2 +2px+q=0, where p and q are real and p^2 <q . Find the algebraic relation satisfied by p and q in each of the following cases (i) angle HOK is a right angle. (ii) A, B, H and K are equidistant from the origin.

A jogger of mass 65kg, runs around a circular track of radius 120m with an average speed of 6km/h. 1) What is the centripetal acceleration of the runner? 2) What is the net force acting on the jogger? Thank you!