We find the base of the rectangles by taking the difference between the interval endpoints, and dividing by 2.
Base of rectangle = (6 - 2) / 2
= 2
The area of the first rectangle:
(4 - 2)f(4) = 2[4 + cos(4π)]
The area the second triangle:
(6 - 4)f(6) = 2[6 + cos(6π)]
Now just compute the two areas and combined them. That will give you the estimated under the curve.
To evaluate the midpoint of each rectangle, we take the midpoint of the base lengths of each rectangle. This midpoint is the x value. Then evaluate the function at that x value.
The midpoint of the first rectangle is x=3. Evaluate f(3).
The midpoint of the second rectangle is x=5. Evaluate f(5).
Hello there! the winning time is 59.625 seconds.
This is the person who completed the lowest amount of time, meaning they finished first. The others too longer so they finished later, meaning they didn't win.
I hope this was helpful and have a great day! :)
Draw whats on the paper, thats your answer
Example: For every 3 boys, there are 4 girls.
Ratio: 3:4 also 3/4
How to use it?
Example question: If there are 3 boys for every 4 girls and there are 27 boys in the class, how many girls are there?
How to set up the ratio:
3 27
— = —
4 x
Solve it?
[Cross Multiply]
3x= 108
[Divide]
X= 36
How to check it?
Reduce 27/36 and see if it equals 3/4
OR
Plug both into the calculator and both should come out with the same decimal. In this case it is 0.75
