Since curve is a parablioc curve, it is highly likely the curve
is trig function.
Assume that I take the left edge of the curve to be the origin, the
curve will be a sine curve.
Amplitude of curve = 3. This implies that there is coefficient of 3
in the sine function.
Let y = f(x)
f(0) = 0
f(2) = 3
f(4) = 0
Recall that sin 0 = 0, sin (pi) = 0, pi is the next value of
0.
For this situation, 4 is the next value of 0.
Therefore, imagine sin (pi) = 0
Sin(pix 4/4) = 0
Sin(pi/4 x 4) = 0
When x = 4, y = 0
Hypothesis: y = 3 sin [(pi/4) x]
To confirm, check with f(2) = 3 and f(0) = 0
After it has been confirmed, the parabolic curve has the eqn y = 3
sin [(pi/4) x]
Integrate it from 0 to 4 since I have taken the left edge of the
curve to be the origin.
u will get
[-12/pi cos(pi/4) x ] from 0 to 4.
Area of the curve = 24/pi
= 7.639 = 7.64 m^2
