1.Find equations for the lines through the point (a,b) that

1.Find equations for the lines through the point (a,b) that are parallel to and perpendicular to the line
y = mx + c,assuming m ≠ 0.
Parallel:y=
Perpendicular:y=
2.Write a formula for the distance between a point (x,y) on the graph of y = x6 and the point (4,8).Express your answer in terms of x.
D(x)=
3.The power P of a jet of water is jointly proportional to the cross sectional area A and to the cube of the velocity v.
(a) Write the formula for P.Use k as the proportionality constant.
P=
(b) If the velocity is quadrupled and the cross sectional area is halved,by what factor will the power increase?