2vaniables. B16. Consider the function บ F(x,y) = = 1 + 2/2² + 121 y² (i) Find and classify all stationary points of F(x, y). (ii) Sketch the level curves for F = 0, ±1/2, +1/4 and ±1/6. [15 marks]
2vaniables. B16. Consider the function บ F(x,y) = = 1 + 2/2² + 121 y² (i) Find and classify all stationary points of F(x, y). (ii) Sketch the level curves for F = 0, ±1/2, +1/4 and ±1/6. [15 marks]
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 2E
Question
Please answer the below showing all working
![2vaniables.
B16. Consider the function
บ
F(x,y) = = 1 + 2/2² + 121
y²
(i) Find and classify all stationary points of F(x, y).
(ii) Sketch the level curves for F = 0, ±1/2, +1/4 and ±1/6.
[15 marks]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0154cc6b-2711-4556-b609-a71c7a685c13%2F793b0a98-a51b-4a89-95f1-bc67fcdcfd17%2F6yux43p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2vaniables.
B16. Consider the function
บ
F(x,y) = = 1 + 2/2² + 121
y²
(i) Find and classify all stationary points of F(x, y).
(ii) Sketch the level curves for F = 0, ±1/2, +1/4 and ±1/6.
[15 marks]
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