Answer:
Step-by-step explanation:
(i) x+2y=4
(ii) x=4-2y
(iii) 2x-2y=5
substituting (ii) in (iii)
2x-2y=5
2(4-2y)-2y=5
8-4y-2y=5
-6y=5-8
-6y=-3
(iv) y=
substituting (iv) in (ii)
x=4-2y
x=4-2×
x=4-1
x=3
∴ B.(3,)
HOPE IT HELPS YOU!!!!
C 24
72/3 =24
Explanation 72/3 = 24
To find the area between the x-axis and the parabolic curve, take the integral of the area in which the curve is above the x-axis.
function of the graph is
y = 4x - x²
We can tell by the function (specifically -x²) that the parabola will point downward.
To find the domain in which y>0, let's find the roots (0's) of the function:
0 = 4x - x²
0 = x (4 - x)
x = 0 or x = 4
Between x=0 and x=4, the curve is above the x-axis. To find the area of the graph, let's take the integral on this range:
First, take the antiderivative of 4x - x²:
2x² - (1/3) x³
Then, plug x=4 into the anti-derivative, and subtract the anti-derivative at x=0:
2(4)² - (1/3)(4³) - (0 - 0)
32 - 64/3
96/3 - 64/3 = 32/3
Closest Answer is C) 10
