Homework07: Problem 2 Previous Problem Problem List Next Problem (3 points) Consider the function f(x, y) = (ex - 3x) cos(y). Suppose S is the surface z - f(x, y). (a) Find a vector which is perpendicular to the level curve of f through the point (2, 6) in the direction in which f decreases most rapidly. vector = (b) Suppose 7 = 6 + 7j + ak is a vector in 3-space which is tangent to the surface S at the point P lying on the surface above (2, 6). What is a? Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 1 time Your overall recorded score is 0%. You have 4 attempts remaining. Email instructor arch Desktop acer F8 19 F10 F11 12 PrtSc/Imprecr. Pause Insert Break/Interr. Delete/Suppr Arretder Syskq/ Syst. LA 3 5 6 8 9 3 P E R A D F G H K B N M Alt Car E 1 4 OKath213rdong / homework07 / 6 Homework07: Problem 6 Previous Problem Problem List Next Problem (3 points) Find the directional derivative of f(x, y, z) = 23 - xy at the point (5, 2, 3) in the direction of the vector v = (-5, 4, -4) 25/sqrt57,16/sqrt57, 16/sqrt57=0 Preview My Answers Submit Answers You have attempted this problem 2 times. Your overall recorded score is 0%. You have 3 attempts remaining Email instructor Page generated at 06/24/2022 at 05:53pm PDT WeBWork @ 1996-2017| theme: math4 | ww_version: WeBWork-2. 13 | pg_version PG-2 13| The WeBWork Project O Et Desktop 26 C arch acer 8 F10 F11 F3 4 7 12GET LK rtSc/Imprecr. Pause Arretdef SysRq/ Syst. Break/Interr. of to 5 6 8 9 0 3/4 3 1/4 3 E R T Y O P D G H Kwebwork / math213rdong / homework07 / 8 Homework07: Problem 8 Previous Problem Problem List Next Problem (3 points) Consider a function f (x, y) at the point (4, 5) At that point the function has directional derivatives: 756 in the direction (parallel to) (5, 5), and 3 V52 in the direction (parallel to) (4, 6). The gradient of f at the point (4, 5) is -9/10 Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 1 time. Your overall recorded score is 0%. You have 4 attempts remaining Email instructor O amazon O search n acer F12 F6 F7 F8 F9 F10 F11 F4 F5 Scr LK F3 Arretde % &