Mathematics, 27.03.2021 16:20 thisismyusername875
Consider the function f(x, y) = -3x^2-2y^-2. Find the directional derivative of f at the point (1,-4) in the direction given by the angle theta = 2pi/5. Find the unit vector which describes the direction in which f is increasing most rapidly at (1,-4). I have already confirmed the directional derivative to be exactly -6cos(2pi/5) + 16sin(2pi/5) I believed the unit vector should have been (cos(2pi/5), sin(2pi/5)), but when I checked my answer the only correct part was the sin(2pi/5). If the other part is not cos(2pi/5), then what is it and How would that be calculated or inferred?
Answers: 1
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Which statement accurately explains whether a reflection over the y-axis and a 270° counterclockwise rotation would map figure acb onto itself? a coordinate plane with figure acb with point a at 1, 1, c at 3, 4 and b at 5, 1 yes, a″c″b″ is located at a″(1, 1), c″(4, 3), and b″(1, 5) yes, a″c″b′ is located at a″(1, 1), c″(3, 4), and b″(5, 1) no, a″c″b″ is located at a″(1, 1), c″(4, 3), and b″(1, 5) no, a″c″b″ is located at a″(1, 1), c″(3, 4), and b″(5, 1)
Answers: 2
Consider the function f(x, y) = -3x^2-2y^-2. Find the directional derivative of f at the point (1,-4...
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