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liubo4ka [24]
3 years ago
6

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

Mathematics
1 answer:
Sliva [168]3 years ago
6 0

Answer:

The solution and complete explanation for the above question and mentioned conditions is given below in the attached document.i hope my explanation will help you in understanding this particular subject.

Step-by-step explanation:

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Answer:

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Given triangle ABC, A=105°, a=10cm, b=7cm, find B,C and c.
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The value of the side c will be 5.56 cm and angle C is 32.49° and angle B is 42.51°.

<h3>What is law of cosine?</h3>

Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:

a² + b² – 2ab cos C = c²

Given triangle ABC, A = 105°, a = 10 cm, b = 7 cm.

Then we have

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On solving, we have

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Then the angle C will be

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We know that

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105° + ∠B + 32.49° = 180°

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