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MAST10000 a MAST10006 Calculus 2 SAMPLE EXAM Semester 1, 2020 Question 8 (10 marks) Let f:R? - R. f(x,) - 37 - 2 - 3y

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MAST10000 a MAST10006 Calculus 2 SAMPLE EXAM Semester 1, 2020 Question 8 (10 marks) Let f:R? - R. f(x,) - 37 - 2 - 3y +ory. (n) Find the directional derivative off at (0,1) in the direction from (0.1) towards (1.0). the face-fr.v) at the point where (b) Find the equation of the tangent plane (x,y) = (0,1) SAMPLE EXAM Page 11 of 12 page 88 a 0 MAST10006+sample-exam+202051 X MAST10006sam... MAST10006 Calculus 2 SAMPLE EXAM Semester 1, 2020 Question 8 (continued) (c) Find all stationary points of , and classify each point as a local maximum, local minimum or saddle point SAMPLE EXAM End of Exam Total Available Marks 60 MAST10000 a MAST10006 Calculus 2 SAMPLE EXAM Semester 1, 2020 Question 8 (10 marks) Let f:R? - R. f(x,) - 37 - 2 - 3y +ory. (n) Find the directional derivative off at (0,1) in the direction from (0.1) towards (1.0). the face-fr.v) at the point where (b) Find the equation of the tangent plane (x,y) = (0,1) SAMPLE EXAM Page 11 of 12 page 88 a 0 MAST10006+sample-exam+202051 X MAST10006sam... MAST10006 Calculus 2 SAMPLE EXAM Semester 1, 2020 Question 8 (continued) (c) Find all stationary points of , and classify each point as a local maximum, local minimum or saddle point SAMPLE EXAM End of Exam Total Available Marks 60

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