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is the syllabus available here the same which is to be followed for the semester starting from 2024 to 2027

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Solve: (x2y - 2xy2 )dx - (x3 - 3x2y)dy = 0

Why in case of moving electrons quantum mechanics is used, while for moving cars we use newtonian mechanics?

The probability density function of a continuous distribution is given by 𝑓(𝑥) = 3 4 𝑥(2 − 𝑥), 0 < 𝑥 < 2 Compute mean, variance and standard deviation. Also find distribution function 𝐹(𝑥).