Question: Please i need help with the two red ones The temperature at any point in the plane is given by 170 T ( ac ,
Please i need help with the two red ones

The temperature at any point in the plane is given by 170 T ( ac , y ) = ac2 + 2 2 + 3 (a) What shape are the level curves of T? A. circles OB. ellipses O C. parabolas OD. lines O E. hyperbolas OF. none of the above (b) At what point on the plane is it hottest? (0,0) 170 What is the maximum temperature? 3 (c) Find the direction of the greatest increase in temperature at the point (3, 1). What is the value of this maximum rate of change, that is, the maximum value of the directional derivative at (3, 1)? (d) Find the direction of the greatest decrease in temperature at the point (3, 1). What is the value of this most negative rate of change, that is, the minimum value of the directional derivative at (3, 1)
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
