The inverse Laplace transform of the function \(\frac{s+5}{(s+1)(s+3)}\) is
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Solution
In a class of 200 students, 125 students have taken programming language course, 85 students have taken data structures course, 65 students have taken computer organization course,50 students having taken both pregramning language and data structures, 35 students have taken both programming language and computers organization, 30 students have taken both data structures and computer organisation, 15 students have taken all the three courses. How many students have not taken and of the courses? ________ .
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Solution
Prepare the diagram based on the question.Total number of students joined is the sum of all= 175
∴ No. of students not taken = 25
For the differential equation dy⁄dt + 5y = 0 with y(0) = 1,the general solution is
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Solution
If the interval of integration is divided into two equal intervals of width 1.0, the value of the definite integral \(\int_{1}^{3}logx\: dx\) using Simpsons one-third rule will be:
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Determine the temp rise (in°C) necessary to induce buckling in a 1m long circular rod of diameter 40 mm as shown in figure. Assume the rod to be pinned at its ends and the coefficient of thermal expansion is 20 × 10–6/°C
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If the scale factor for photography survey is given by Sρ and focal length of camera is f, then flying height H is given by
How may conflict points are there for a 2 lane road when traffic is 2 way?
If the design speed is 80 kmph, perception reaction time is 3sec. and coefficient of friction is 0.5, then the SSD is
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Solution
SSD and friction coefficients are
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Solution
\(SSD=vt+\frac{v^{2}}{2gf}\)
Consider a glucose solution (C6 H12 O6) of molarity 1.75 × 10–3 that is completely oxidized to CO2 and H2O.Find the amount of oxygen required for the reaction. The chemical man balance equation for the above reaction is given as:
C6H12O6+ 6O2 → 6 CO2 + 6H2O
(Atomic wt: C–12, H–1, O–16)
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