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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The average rate of change of a function f(x) over an interval (a, b) is given by
Therefore, given a function, f(x), over an interval (2, 9), the average rate of change of the function can be found using the expression
Therefore, given a function, f(x), over an interval (2, 9), the average rate of change of the function can be found using the expression
Answer:
No. The new height of the water is less than the height of the glass(6.33 cm<10 cm)
Step-by-step explanation:
-For the water in the glass to overflow, the volume of the inserted solid must be greater than the volume of the empty space or the ensuing height of water >height of glass.
#Volume of the golf ball:
#The volume of the water in the glass:
We then equate the two volumes to the glass' volume to determine the new height of the water:
Hence, the glass will not overflow since the new height of the water is less than the height of the glass(6.33 cm<10cm).