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:
![\rm Area = \int\limits^{7\pi/6}_0 {[sinx - (-3/7\pi)x]} \, dx](https://tex.z-dn.net/?f=%5Crm%20Area%20%3D%20%5Cint%5Climits%5E%7B7%5Cpi%2F6%7D_0%20%7B%5Bsinx%20-%20%28-3%2F7%5Cpi%29x%5D%7D%20%5C%2C%20dx)
![\rm Area = \int\limits^{7\pi/6}_0 {[sinx +3x/7\pi ]} \, dx](https://tex.z-dn.net/?f=%5Crm%20Area%20%3D%20%5Cint%5Climits%5E%7B7%5Cpi%2F6%7D_0%20%7B%5Bsinx%20%2B3x%2F7%5Cpi%20%5D%7D%20%5C%2C%20dx)
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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Answer:
The answer is 4.797752129
Answer:
If the packages are the same size and everything and has the same volume, then it would be 1/6 more of a package.
Step-by-step explanation:
1/6
1/6
1/6
1/3 is equal to 2/6 because you can multiply the numerator (the top) and the denominator (the bottom number in a fraction) by 2 to get 2/6. The pepperoni usage of the package was 2/6, while the sausage was 1/6.
2/6 minus (-) 1/6 is equal to 1/6.
1. Find the Least Common Denominator (LCD) of
Method 1: By Listing Multiples<span>List out all multiples of each denominator, and find the first common one.
5: 5,10
2: 2, 4, 6, 8,10</span>
Method 2: By Prime FactorsList all prime factors of each denominator, and find the union of these primes.
5 : 5
2 : 2
Therefore, the LCD is 2 x 5 = 10
2. Make the denominators the same as the LCD
3. Simplify. Denominators are now the same
4. Join the denominators
5. <span>Simplify
</span>
<span>Done (Fact: Decimal Form 0.9)</span>
Brand X: median value is 13. Look carefully at the diagram so that you can spot and understand where that value comes from.
Brand Y; median value is 16.
We can conclude that the life of Brand Y batteries is always greater than that for Brand X, and that the medians differ by 3 hours.
