The correct question is contained in the first attached file.
Answer:
a) The trapezoidal rule answer
0.433490
b) The midpoint rule answer
1.186075
c) The Simpson's rule answer
1.106143
Step-by-step explanation:
These numerical methods are means of estimating definite integrals by finding the area under the curve of the function between two points.
a) The solution for the trapezoidal rule method is presented in the 2nd attached image to this solution.
b) The solution for the midpoint rule method is presented in the 3rd attached image to this solution.
c) The solution for the Simpson's rule method is presented in the 4th attached image to this solution.
3(x - 6) - 4(x + 3) = 3x - 18 - 4x - 12 = -x - 30
It would be: 47000 + (47000 * 3%)
= 47000 + (47000 * 0.03)
= 47000 + 1410
= 48410
In short, Your Answer would be $48410
Hope this helps!
Answer:
1 ton on wednesday!
Step-by-step explanation:
We need to go step by step for this one.
On monday the factory used 11/15 of a ton, while tuesday required 14/30 a ton more than that. To find tuesday's amount we must take 11/15 and add 14/30 to that.
11/15 + 14/30 = 1 1/5
Tuesday = 1 1/5 of a ton
On wednesday the factory uses 5/6 of the amount used on tuesday, which is 1 and 1/5 of a ton.
1 1/5 times 5/6 = 6/5 times 5/6
Anything multiplied by their reciprocal is 1, so the answer is 1. On wednesday 1 ton of grapes was used on wednesday!