This is a table...
Concentration of Chemical A, x....|1 | 2| 3 |4 | 5 | 6 |7
Concentration of Chemical B, f(x)|12|16|18|21|24|27|32
Let me know if you need help figuring out that table.
So the 3 questions I am having trouble with are as follows.
a) Plot points and connect them with line segments (I can do this)
b) Use the trapezoidal rule to find the area bounded by the broken line of part a, the x-axis, the line x=1 and line x=7
c)Then approximate the area again using the Simp rule
Thanks!
There is no 2 in the numerator, but the one in the denominator comes from the formula for the area of a trapezoid (or trapezium, if you are British):
where and are the lengths of the bases, and is the height.
Also, rather than find the areas of each trapezoid directly, you can apply the Trapezoidal Rule,
as specified in the problem's instructions. For reference, Simpson's Rule is
You can easily find derivations of these with a quick search.