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Subject

Mathematics I

This course makes students able to understand and formulate real-world problems into mathematical statements and also develop solutions to mathematical problems at the level appropriate to the course.

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What do you mean by the complexity of an algorithm? Explain the asymptotic notations used to describe the time/space complexity of any algorithm with their geometrical interpretation and example.
Answered Mathematics I Asked on 2076 Exam
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A rectangular box without lid is to be made from 12 m2 of cardboard. Find the maximum volume of such box.
Answered Mathematics I
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Use The Method Of Cylindrical shell to find the volume of the solid obtained by rotating the region bounded by the given curve about x-axis.

i) y=x3,y=8,x=0

ii) x=1+(y-2)2,x=2

Not Answered Mathematics I
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Solve: y” + y’ – 2y = sinx
Not Answered Mathematics I
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Solve: y” + y’ = 0, y(0) = 5, y(π/4) = 3
Not Answered Mathematics I
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Find the local Maxima and minimum values,saddle points of f(x,y)=x^4 +y^4 – 4xy+1
Not Answered Mathematics I
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Find the length of the arc of the semi-cubical parabola y2 = x3 between the points (1, 1) and (4, 8).
Answered Mathematics I
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Evaluate \(\int{(sin^{-1}x)^2 dx}\)
Answered Mathematics I
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\(\int_0^1 e^{\sqrt{x}} dx\)
Answered Mathematics I
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Solve: n × 2n-1 = 80
Answered Mathematics I
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