Can anyone give me a bit of help with this integration question? The first part I can figure out but I don't know how to do the second. It asks;
The points A (3, 9) and B (-2, 4) lie on the parabola y = x2. The line y = x + 6 joins A and B. The point P (p, p2) is a variable point on the parbola below the line.
a) Find the are of the parabolic segment APB, i.e. the area below the line and above the parabola.
= 125/6 units2
b) Show that the greatest possible area of the triangle APB is three-quaters of the area of the parabolic segment APB.
The points A (3, 9) and B (-2, 4) lie on the parabola y = x2. The line y = x + 6 joins A and B. The point P (p, p2) is a variable point on the parbola below the line.
a) Find the are of the parabolic segment APB, i.e. the area below the line and above the parabola.
= 125/6 units2
b) Show that the greatest possible area of the triangle APB is three-quaters of the area of the parabolic segment APB.