the constant term is 12
All the other terms have variables attached to them
Answer:
4.5
Step-by-step explanation:
First we need to turn the ratio of 1 : 3 into a fraction
1:3 = 1/3
Next we need to square that fraction
1 x 1 = 1
3 x 3 = 9
Then we turn those numbers into a fraction
1/9
We turn the .5 into a fraction
.5/x
And cross multiply both fraction by each other
1/9 x .5/x
1 x X = X
9 x .5 = 4.5
So
4.5 = X
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).
Answer:
Step-by-step explanation:
