Question

Find the area of the region bounded by the graphs of the equations.

Answer 1

y=-x^2 +10x

y=0

-x^2 +10x =0

-x(x -10)=0

-x =0 --- x_1 = 0

x-10=0
x=10 ---- x_2 = 10

Answer 2

-x^2 +10x=0

the vertex of the parabola will be (- b/2a , - D /4a )

--------------------------- ( - 10/(2(-1)) , - 100/(4(-1)) )

---------------------------- ( 5 , 25 )

for x = 0 --- y = 0

and for x = 10 --- y = 0