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Consider the vector field F = (x^2 - y^2)i + (y^2 - Z^2)j + (z^2 - x^2)k.
a) Calculate the line integral of F from P_0 at (1,0,0) to P_1 at (-1,0,0) along the direct line path joining these points.
b) Calculate the line integral of F from P_0 at (1,0,0) to P_1 at (-1,0,0) along the horizontal semicircular path joining these points, traversed anti-clockwise (through the point (0,1,0)), which forms part of the circle centred at the origin. You may need to use sin^3t = sint(1-cos^2t).
Find the probability of observing
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Calculate the probability that the rent of a randomly selected unit.
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Find the probability that a randomly selected teacher makes less than USD 40156 a year? Round your final answer as a percent rounded to two decimal places.
Find the height at which the light has to be fixed to get its use in maximum area using its perimeter function
Consider a Lagrangian system, with configuration space R^n, given by (x^1, ... x^n); and Lagrangian L(x', ..., x^n; v^1, ... v^n). Now consider a new system of coordinates, (y^1,... ^n),
Sample Question: Binomial Probability Distribution. Assume a binomial probability distribution with n=40 and Ï? =.30(pi =.30) . (Round all z values to 2 decimal places.)
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