When we divide the interval from 1 to 5 into 4 subintervals, each has a width of 1. Simpson's rule has us evaluate the integral as
... integral = (1/3)(f(1) +4f(2) +2f(3) +4f(4) +f(5)) = (1/3)(10 +4·25 +2·46 +4·73 +106)
... integral = (1/3)(600) = 200 . . . . . by Simpson's rule
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The integral evaluates to
![\displaystyle \int_{1}^{5}{\left(3x^2+6x+1\right)}\,dx=\left[x^3+3x^2+x\right]\limits_{1}^{5}=(5^3-1^3)+3(5^2-1^2)+(5-1)\\=124+3*24+4=200](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint_%7B1%7D%5E%7B5%7D%7B%5Cleft%283x%5E2%2B6x%2B1%5Cright%29%7D%5C%2Cdx%3D%5Cleft%5Bx%5E3%2B3x%5E2%2Bx%5Cright%5D%5Climits_%7B1%7D%5E%7B5%7D%3D%285%5E3-1%5E3%29%2B3%285%5E2-1%5E2%29%2B%285-1%29%5C%5C%3D124%2B3%2A24%2B4%3D200)
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Simpson's rule uses a quadratic interpolation, so evaluates quadratics exactly.
Answer:
One solution
Step-by-step explanation:
since the graph formed by them has interesting lines, it will just have one solution
.8 percent of 200 is 1600 becaus 2000* .8=1600
Answer:
No, Peter is correct.
Step-by-step explanation:
Since 24 minutes = 0.4 hour, 7 hours, 24 minutes is equal to 7.4 hours, which is equivalent to what Peter had said, therefore, Peter is correct.