P2 Practice

P2 Practice

Question 1

Find the value of p if  $\left(x-2\right)$  is a factor of  $2x^3-4x^2+3x+p$  .

Question 2

Find the equation of the curve which passes through the point  $\left(2,4\right)$  and for which  $\frac{dy}{dx}=x\left(3x-1\right)$  

Question 3

Find all the angles x where  $0^{\degree}\le x\le360\degree$  such that  $10\ Cosx-3\ =0$  .

Question 4

Express  $x^2+4x+1$  in the form  $a\left(x+h\right)^2+k$  .

Question 5

Differentiate

 $y=\left(2x-5\right)\left(3x^3+5x\right)$  

Question 6

Given that  $x=\sqrt{2}\ and\ y=\sqrt{3}$  , express in terms of x and y ,  $\frac{\sqrt{50\ }-\sqrt{12}}{\sqrt{\ 8}+\sqrt{75}}$