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1 answer:
Answer:
Step-by-step explanation:
1. The slope-intercept form of a linear equation is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.
2. To find the slope, let's take the two points (-10,-3) and (-8,-4) to then plug their values into this formula:
3. Great, now that we have our slope, the equation looks like this so far: .
4. Since b is the y-intercept, b = -8 because the line intersects the y-axis at the coordinate, (0,-8).
5. When plugging in the values of m and b, we get the equation of
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Answer:
Step-by-step explanation:
We want to calculate the right-endpoint approximation (the right Riemann sum) for the function:
On the interval [-1, 1] using five equal rectangles.
Find the width of each rectangle:
List the <em>x-</em>coordinates starting with -1 and ending with 1 with increments of 2/5:
-1, -3/5, -1/5, 1/5, 3/5, 1.
Since we are find the right-hand approximation, we use the five coordinates on the right.
Evaluate the function for each value. This is shown in the table below.
Each area of each rectangle is its area (the <em>y-</em>value) times its width, which is a constant 2/5. Hence, the approximation for the area under the curve of the function <em>f(x)</em> over the interval [-1, 1] using five equal rectangles is:
