Integrals calculate the area underneath the curve. So, look at the graph, note where the function is on the graph and how many units on the X-axis the function is wide and how many units on the Y-axis the function is tall. The x-axis is usually where you would set the boundaries of the function. The integrand (the thing that we integrate) is the the function typically, and it’s in respect to something else, dx
, dy or dt to name a few. The thing we integrating with respect to, is dependent upon the graph.
Here’s an example: (Picture at the bottom)
If I take my bounds from 0 to 2 on the X-axis, that would give me an area underneath the curve that is exactly like a triangle. You can solve it with half base times height if you wanted.
If I were to take my bounds to be 2 to 6 on the X-axis then that’s an area in the shape of a trapezoid. Remember that you’re integrating the function so that means that your integrand will be the function.
So, for the first one it would be the integral sign, 2 on the top, 0 on the bottom, the integrand would be f(x), and it’s in respect to dt.
For the second one it would be exactly the same except your bounds would just be from 2 to 6
(2 on the bottom 6 on top).
I hope that helps.
Rate is the number of death over time. So 1000 divide by 365 days =2.78
Answer:
See explanation
Step-by-step explanation:
1) 5/10
2) 3/10
3) 2/10
4) 7/10
<u>First remove:</u>
Probability of removing a trained rat is 6/8
Probability of removing untrained rat is 2/8
Outcome is 6/8 + 2/8 = 1
<u>Second remove:</u>
Probability of picking a trained rat is 5/7
Probability of picking untrained rat is 1/7
Outcome is 6/7
<u>Third remove:</u>
Outcome is 1 (Since you can only remove a trained rat)
<u>Forth remove:</u>
Outcome is 1 (Since you can only remove a trained rat)
<u>Fifth remove:</u>
Outcome is 1 (Since you can only remove a trained rat)
Total outcome = 1 + 6/7 + 1 + 1 + 1 = 34/7 = 4(6/7)
Percent problems can be solved by writing equations. An equation uses an equal sign (= ) to show that two mathematical expressions have the same value. Percents are fractions, and just like fractions, when finding a percent (or fraction, or portion) of another amount, you multiply. ... Percent of the Base is the Amount.