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= cos x sin y 5. [MT, p. 166] Calculate the second-order Taylor approximation to f(x,...

= cos x sin y 5. [MT, p. 166] Calculate the second-order Taylor approximation to f(x, y) at the point (7, 7/2).

= cos x sin y 5. [MT, p. 166] Calculate the second-order Taylor approximation to f(x, y) at the point (7, 7/2).
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Sol- Given, f(x, y) = cosx sing (a, b) = (IT, T/2) The second order taylor approximation is given by fox (a,b) L(x, y) + (x-a= - COS(TT) sin (1) :-(-1) () fox (a,b) - - tay (a,b) = de af dy dx a (cosa cosy) dac xia,yib xca, y=b a - sina cosyl xia, y=

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= cos x sin y 5. [MT, p. 166] Calculate the second-order Taylor approximation to f(x,...
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