1
answer
0
watching
216
views
13 Nov 2019
5. Consider the function f(x, y, z) = cos(xy) + eys + ln(zz). (a) In which direction does f have its maximum rate of change at the point 10, What is the maximum rate of change in this direction? 6 marks] (b) Find the directional derivative of f at the point (1,0, 7) in the direction T v= [1,2,2] [5 marks] . (c) Let z-z(x, y) and f(x, y, z(x, y)) 0, find z and zy in terms of , y and z. 4 marks (d) If z = u2 + U2 and y = ut, in part (c), find zu in terms of z, y, z, u and v. 5 marks]
5. Consider the function f(x, y, z) = cos(xy) + eys + ln(zz). (a) In which direction does f have its maximum rate of change at the point 10, What is the maximum rate of change in this direction? 6 marks] (b) Find the directional derivative of f at the point (1,0, 7) in the direction T v= [1,2,2] [5 marks] . (c) Let z-z(x, y) and f(x, y, z(x, y)) 0, find z and zy in terms of , y and z. 4 marks (d) If z = u2 + U2 and y = ut, in part (c), find zu in terms of z, y, z, u and v. 5 marks]
Collen VonLv2
7 Apr 2019