Answer:
y = -3x - 3
Step-by-step explanation:
First, determine the slope of the red line. As we move from (0, 3) to (1, 0),
x increases by 1 and y decreases by 3. Hence, the slope, m, is
m = rise / run = -3 / 1, or m = -3.
The desired new line, parallel to the red line, has the same slope as the red line: m = -3.
The equation for this new line is y - k = m (x - h), where (h, k): (-1, 0):
We get y - 0 = -3 (x + 1), or y = -3x - 3.
Check: Does this line go thru the given point (-1, 0)?
Is 0 = -3(-1) - 3 true? Yes, it is true.
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:
The answer is $31,722.
Step-by-step explanation:
10,000 x 1.08 = 10,800
Do this 14 more times, your answer times 1.08.
You end up with 31,721.6911418.
Rounded to the nearest dollar, that would be $31,722.
The Answer is: 64 degrees
5x-y=3
Not sure if it’s correct
