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École Polytechnique de Montréal Questions & Answers
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- Consider the temperature fonction T: \mathbb{R}^{2}\rightarrow \mathbb{R} defined by: T(x,y) = x^{2} - y^{2} Without analyzing the critical points, does the
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- Consider v(k), the optimal solution to the optimization problem under constraint : \underset{(x,y)\in \mathbb{R}^{2}}{max} \underset{}{f(x,y)} constraint :
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- Given the optimization problem: \underset{(x,y) \in \mathbb{R}^{2} }{max} f(x,y) = -5x^{2}-4y^{2}+45x +30y under constraint : 2x +4y =12 of which the contour
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- Consider the function f(x) = x^{2} + x + \frac{1}{x} and a = 1. Give a 4th degree Taylor polynomial, P 4 (x), that approximates f(x) around a = 1. Give a
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- Give a bound on the approximation error of: f(x,y) = x^{3}y -2xy +y^{2}+1 by its second degree Taylor polynomial Q(x,y), on the rectangle: R = \left \{ (x,y)|
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- An object moves in a straight line. At a time t 0 , the object is at the position s(t o ) = 140 m, its speed is then v(t 0 ) = 30 m/s and its acceleration is
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- Give a bound on the approximation error of f(x, y) = sin(x) + sin(y) by its first degree Taylor polynomial L(x,y), on the disc B 1 (/4, /4). I know that the
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- Please see attachments for details
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École Polytechnique de Montréal Top Courses
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