A Find The Direction For Which The Directional Derivative Of The Function F X Y Z X2 Y2 Z2 Is A Maximum At P 7 5 3 1 (18.56 KiB) Viewed 49 times
(a) Find the direction for which the directional derivative of the function f(x,y,z)=x2+y2+z2 is a maximum at P=(7,5,3). (Use symbolic notation and fractions where needed. Give your answer in vector form.) direction: (b) Find the maximum value of the directional derivative. ∥∇f(7,5,3)∥=
The surface of a hill is modeled by the equation z=(60−3x2−5y2)m shown in the figure. If a freshwater spring is located at the point (x,y,z)=(1,2,37), in what direction will the water flow? Find the unit vector u in this direction. (Use symbolic notation and fractions where needed. Give your answer in vector form.) u=4376i+43720j+4371k Incorrect
Find a unit vector u that is normal to the level curve of f(x,y)=9x2y through P=(x,y)=(5,−3) at P. The figure shows the level curves of f(x,y)=ax2y. (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.)
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