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2. a. b. Given f(x, y, z)=x²-2y² +2², x(t)=sint, y(t) = e' and z(t) = 3r for OSIST. (i) (ii) (iii) (0) Find the directio
Posted: Tue Jul 12, 2022 12:42 pm
by answerhappygod
- 2 A B Given F X Y Z X 2y 2 X T Sint Y T E And Z T 3r For Osist I Ii Iii 0 Find The Directio 1 (25.52 KiB) Viewed 44 times
2. a. b. Given f(x, y, z)=x²-2y² +2², x(t)=sint, y(t) = e' and z(t) = 3r for OSIST. (i) (ii) (iii) (0) Find the directional derivative of f(x, y, z) at x=1 in the direction of the vector b=2i+j-2k. Give your answer in terms of . [9 marks] (ii) df Find in terms of t. dt A function g(x, y) is defined by Determine the exact value of df dt when x = 1. [4 marks] [2 marks] g(x,y)=x³-2y2-24 + 3x²y. Show that the function g(x,y) has three stationary points: (0,0). (-¹) and (-2,1). [8 marks] Determine the types of these stationary points, give reason to your answer. [7 marks]