Find the directions in which the function increases and decreases most rapidly at P0. Then find the derivatives of the function in those directions. F(x, y) = x^2 + xy + y^2, P0(-2,3)
The direction in which the given function f(x, y) = x^2 + xy + y^2 increases most rapidly at P0( -2,3) is u = i + ___j.
The direction in which the given function f(x, y) = x^2 + xy + y^2 decreases most rapidly at P0( -2,3) is -u = i + ___j.
The derivative of the given function f(x, y) = x^2 + xy + y^2 in the direction in which the function increases most rapidly at P0( -2,3) is D uf = .
The derivative of the given function f(x, y) = x^2 + xy + y^2 in the direction in which the function decreases most rapidly at P0( -2,3) is D -uf = .

How do i do this using elimination 2x+3y=12 x-y=6

[10 points, algebra 2]according to my answer key the restrictions are -1 and 4. but why not positive 1?

Since opening night, attendance at play a has increased steadily, while attendance at play b first rose and then fell. equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. on what day(s) was the attendance the same at both plays? what was the attendance? play a: y = 8x + 191 play b: y = -x^2 + 26x + 126 a. the attendance was never the same at both plays. b. the attendance was the same on day 5. the attendance was 231 at both plays on that day. c. the attendance was the same on day 13. the attendance was 295 at both plays on that day. d. the attendance was the same on days 5 and 13. the attendance at both plays on those days was 231 and 295 respectively.