Question: Question 3 The function T = In(x + y2) gives the temperature at each point in the plane (except (0,0)). a) At the point

Question 3 The function T = In(x + y2) gives the temperature

Question 3 The function T = In(x + y2) gives the temperature at each point in the plane (except (0,0)). a) At the point P: (1,2), in which direction should you go to get the most rapid increase in T? b) At P, about how far should you go in the direction found in part (a) to get an increase of .20 in T? c) At P, approximately how far should you go in the direction of i+j to get an increase of about .12? d) At P, in which direction(s) will the temperature change rate be 0?

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