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2. Use the following applet to answer the questions that follow (clickable link) →→→Contour Plot The given function should be f (x, y) = x² - y². Do not change this function. (a) Determine Vf(x, y). (b) Calculate Vf(-2,-2). (c) Find the unit vector in the direction of fastest increase at the point (-2,-2). How do you know it is the direction of fastest increase? (d) Sketch this unit vector on the contour map and provide that sketch in your answer below.

2. Use the following applet to answer the questions that follow (clickable link) →→→Contour Plot The given function should be f (x, y) = x² - y². Do not change this function. (a) Determine Vf(x, y). (b) Calculate Vf(-2,-2). (c) Find the unit vector in the direction of fastest increase at the point (-2,-2). How do you know it is the direction of fastest increase? (d) Sketch this unit vector on the contour map and provide that sketch in your answer below.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Can you help me with part D  please because I don't know how to do part D can you do it step by step 

2. Use the following applet to answer the questions that follow (clickable link) →→→→Contour Plot The given function should be f (x, y) = x² - y². Do not change this function. (a) Determine Vf (x, y). (b) Calculate Vf(-2,-2). (c) Find the unit vector in the direction of fastest increase at the point (-2,-2). How do you know it is the direction of fastest increase? (d) Sketch this unit vector on the contour map and provide that sketch in your answer below.
Transcribed Image Text:2. Use the following applet to answer the questions that follow (clickable link) →→→→Contour Plot The given function should be f (x, y) = x² - y². Do not change this function. (a) Determine Vf (x, y). (b) Calculate Vf(-2,-2). (c) Find the unit vector in the direction of fastest increase at the point (-2,-2). How do you know it is the direction of fastest increase? (d) Sketch this unit vector on the contour map and provide that sketch in your answer below.
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