Find the area enclosed by the x-axis and the curve x = 4 + et, y = t − t2.

Find where the curve intersects the x-axis; this happens when y = 0:

y = t - t ² = 0   →   t (1 - t ) = 0   →   t = 0, t = 1

Then the area of the bounded region is

(you can compute the integral by parts)

circle area = pi * radius^2

if diameter = 10 then radius = 5

circle area = pi * 5^2

circle area = pi * 25

circle area = 78.5398163397 square units

step-by-step explanation:

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5