The following question is about the volume of an object bounded by parabola x = y^2 - 5y, and straight line y = x. (x, y) in meters. Height of object (in meters), h(x, y) = (y - x)(x - y^2 + 5y) a) Find max height by: i) finding critical points of h(x, y) ii) identify single critical point within cross-sectional area, A (not on boundary) iii) show point found in (ii) is a local max with hessian determinant test iv) evaluate value of h at this max
The following question is about the volume of an object bounded by parabola x = y^2 - 5y, and straight line y = x. (x, y) in meters.
Height of object (in meters), h(x, y) = (y - x)(x - y^2 + 5y)
a) Find max height by:
i) finding critical points of h(x, y)
ii) identify single critical point within cross-sectional area, A (not on boundary)
iii) show point found in (ii) is a local max with hessian determinant test
iv) evaluate value of h at this max
I understand that im only supposed to ask one question at a time but it is hard to follow up on these types of questions over multiple responses. It would really be appreciated if you could help me, or you could possibly credit extra questions from my account. thanks :)
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