Consider the function f: RR defined by f(x,y)=e+y-2r-3y. (a) Find and classify the critical points of...

 

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Consider the function f: RR defined by f(x,y)=e+y-2r-3y. (a) Find and classify the critical points of f using the second derivative test. [4 marks] (b) Let P be the point (0,2). Using linear approximation around P, estimate f(0.01, 1.99) without a calculator. [2 marks] (c) Sketch the level curves of f. On your sketch, locate the critical points and P. Indicate the direction of steepest descent at P with an arrow. [3 marks] Consider the function f: RR defined by f(x,y)=e+y-2r-3y. (a) Find and classify the critical points of f using the second derivative test. [4 marks] (b) Let P be the point (0,2). Using linear approximation around P, estimate f(0.01, 1.99) without a calculator. [2 marks] (c) Sketch the level curves of f. On your sketch, locate the critical points and P. Indicate the direction of steepest descent at P with an arrow. [3 marks] Consider the function f: RR defined by f(x,y)=e+y-2r-3y. (a) Find and classify the critical points of f using the second derivative test. [4 marks] (b) Let P be the point (0,2). Using linear approximation around P, estimate f(0.01, 1.99) without a calculator. [2 marks] (c) Sketch the level curves of f. On your sketch, locate the critical points and P. Indicate the direction of steepest descent at P with an arrow. [3 marks]

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a To find the critical points of f we need to find the points where the gradient of f is zero The gr... View the full answer