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2. a. Given f(x, y, z)=x²-2y² + z², x(t) = sint, y(t)=e¹ and z(t) = 3t for 0≤t≤n. (i) (ii) (iii) Find the directional de
Posted: Tue Jul 12, 2022 12:45 pm
by answerhappygod
- 2 A Given F X Y Z X 2y Z X T Sint Y T E And Z T 3t For 0 T N I Ii Iii Find The Directional De 1 (151.5 KiB) Viewed 52 times
2. a. Given f(x, y, z)=x²-2y² + z², x(t) = sint, y(t)=e¹ and z(t) = 3t for 0≤t≤n. (i) (ii) (iii) 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 . Find in terms of t. df dt Determine the exact value of df dt when x = 1. [9 marks] [4 marks] [2 marks]