A man travelling on f(x, y) = sin(xy). His shadow passing through the origin in a straight line (Sun travels with him overhead). What is the slope of the line traveling on which would lead him to the lowest elevation?
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Step-by-step explanation:
Given A man travelling on f(x, y) = sin(xy). His shadow passing through the origin in a straight line (Sun travels with him overhead). What is the slope of the line traveling on which would lead him to the lowest elevation?
- Now a man is travelling on f(x,y) = sin (xy)
- As the sun goes along with him over head the shadow of the man passes through origin in a straight line.
- We need to find the slope of the line that leads to the lowest elevation.
- Now differentiating we get
- f(x x) = - y^2.sin(xy)
- f(y y) = - x^2. sin (xy)
- f(x y) = -yx.sin(xy)
- sin 0 = 0
- Now (0,0) point does not have any conclusion .
- Since there is no such point the man will not at all reach the lowest elevation point.
Reference link will be
https://brainly.in/question/27555355
https://brainly.in/question/9937178
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