Answer:
<h3>Sum of Roots =<u> (-8)</u><u> </u><u> </u></h3><h3>Product of Roots = <u> </u><u> </u><u>(-84)</u><u> </u><u> </u></h3>Step-by-step explanation:
Roots :- 6 and -14
Sum of the roots :
[6 + (-14)]
= (-8)//
Product of the roots :
[(6)(-14)]
= (-84)//
The area of the region shown in the coordinate plane is 2.7823 units square.
<h3>What is integration?</h3>It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
It is given that:
The graph of a function:
y = sinx
And a line segment passed through:
(0, 0) and (7π/6, -1/2)
First, find the equation of the line:
y = (-1/2)/(7π/6)[x]
y = (-3/7π)x
The area by definite integration:
After solving the above definite integral:
Area = 2.7823 units square
Thus, the area of the region shown in the coordinate plane is 2.7823 units square.
Learn more about integration here:
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