Mathematics Question and Solution
11-2 = (x²/4)
x = √(36)
x = 6.
Calculating Ax, let it be a.
(Area Under the curve at x = a and x = 6)(1/(6-a)) = (19/3)
(30-(a³/12)-2a) = (114-19a)/3
360-a³-24a = 456-76a
a³-52a+96 = 0
a = 2.
Calculating Ay.
Notice; Ax = 2
Ay = ¼(2²)+2
Ay = 3
Therefore;
Shaded Area exactly is;
Area Rectangle with length 11 units and width 4 units - (Area under the curve at x = 2 and x = 6)
(11*4)-(76/3)
= 44-(76/3)
= ⅓(132-76)
= ⅓(56) square units.
