Answer:
The equation of the parabola is given to be : y = -x² + 36
So, the airplane will cut the rainbow if the graph of the equation of airplane intersects the graph of rainbow.
Now, to find the equation of airplane :
The points through which airplane passes are : (1,0) and (0,2)
⇒ Equation : 2x + y = 2
This equation will intersect the parabola at exactly two points.
And the points are the solution of these two equation :
(-4.916,11.832) and (6.916,-11.832)
The required table is :
x -4.916 11.832
y 6.916 -11.832
