Assign1 - Problem Set 01 Note This problem set is due Sep 13 in the class The following set of problems are devised to check your knowledge in

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Problem Set 01 Note: This problem set is due Sep 13 in the class The following set of problems are devised to check your knowledge in diFerential and integral calculus, standard electrodynamics, mechanics and gravity. 1. Integrate the following function: Z - b - a dx ± ( 1 + | x | ) x + | x | + sin | x | ² where a and b are two given positive de±nite integers. 2. ²ind dy dx for the following two functions: y = | x | sin x + | x | x | x | y = x + x x + x x x + x x x x 3. A drop of ink has fallen on a tissue paper. The drop size increases uniformally and radially outward on the paper. In the beginning the rate of increase of the radius of the drop is almost a constant. However for large time the rate decreases as t - 2 where t is the time measured from the start i.e t = 0. Using appropriate considerations ±nd an expression for the area of the drop at t = t o . Clearly specify the approximations used to analyse this problem. 4.
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This note was uploaded on 02/20/2011 for the course PHYS 357 taught by Professor Keshavdasgupta during the Fall '05 term at McGill.

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Assign1 - Problem Set 01 Note This problem set is due Sep 13 in the class The following set of problems are devised to check your knowledge in

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