The amount of mass transported via a pipe over a period of time can be computed as M = t2 t1 Q(t)c(t) dt where M = mass (mg), t1
= the initial time (min), t2 = the final time (min), Q(t) = flow rate (m3 /min), and c(t) = concentration (mg/m3 ). The following functional representations define the temporal variations in flow and concentration: Q(t) = 9 + 5 cos2(0.4t) c(t) = 5e−0.5t + 2e0.15t Determine the mass transported between t1 = 2 and t2 = 8 min with
(a) Romberg integration to a tolerance of 0.1%, obtain an estimate with error O(h6) and calculate εa where appropriate.
b) Determine the mass transported using the three point Gauss-Legendre formula
(a) Romberg integration to a tolerance of 0.1%, obtain an estimate with error O(h6) and calculate εa where appropriate.
b) Determine the mass transported using the three point Gauss-Legendre formula
1 answer:
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Answer:
2x² + x - 5
Step-by-step explanation:
(f + g)(x) = f(x) + g(x), thus
f(x) + g(x)
= - 2 + 2x² + x - 3 ← collect like terms
= 2x² + x - 5
<h3>we can make the below formulas with this information:</h3>