The area of the resulting figure will be given by:
∫f(x)dx
f(x)=13/2x^3
thus
∫f(x)dx=13/2∫x³dx=13/8[x^4]
integrating over the inerval
13/8(12^4)-13/8(5^4)
=32680+3/8 sq. units
=
A = (pi) * r*2
(pi) = 3.14
r = d/2.....r = 17/2 or 8.5
A = 3.14 * 8.5^2
A = 3.14 * 72.25
A = 226.86 rounds to 226.9 m^2 <==
The equation of the given Absolute Value Function is; y = |-2x + 4|
<h3>How to interpret Linear Graphs?</h3>
We can see that the given graph is a Linear graph but since it is V-shaped, we can say that it is a graph of an absolute value function.
Now, from the graph we see that;
At x = 0, y = 4
At x = 1, y = 2
At x = 2, y = 0
At x = 3, y = -2
At x = 4, y = 0
At x = 5, y = 2
We can see that the y-intercept is at y = 4.
Slope between two consecutive points is;
(2 - 4)/(1 - 0) = -2
Equation is; y = -2x + 4
Now, this is an absolute value function and as such we will write it as;
y = |-2x + 4|
Read more about Linear Graphs at; brainly.com/question/4025726
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