integration

1)
It is given that dp/dm =s and ds/dm =12m+4.
When m=2,p=12 ans s=24.
a) express p in terms of m.
b) find the values of m such that s= -6
ans: a)p=2m^3 +2m^2 -8m+4
b) -1 or 1/3


2) The equation of the tangent to the curve is y=u(x) at x=a is
y =(-2a+4)(x-a)+k, where k is a constant. Given that the curve touches the x-axis at x=2,find
a)the value of k
b)the equation of the curve
ans: a)0
b) y=-x^2+4x-4

please show clear steps. thx a lot!!!