Answer: 3.5
Step-by-step explanation:
2.10/0.6=3.5
3.5x0.6=2.10
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).
Sketch the two quadrilaterals and label them as shown in the figure below.
Let x = length of the 4th side of ABCD.
Because ABCD ~ EFGH, therefore
x/5 = 14/6
That is,
x = (5/6)*14 = 11.67 ft
Answer: D. 11.7 ft
Answer:
The difference between slope and y-intercept, is y-intercept is a specific point. Y-intercept is when the line crosses the y-axis, or when x = 0. Slope is how much the y value changes when the x has changed +1, or -1, if that makes sense.
I was gonna do an example, but I got lazy, hehe.
9000 if you don't allow numbers with leading zeros, such as 0,000.
10,000 if you do allow numbers with leading zeros.
