Let u(x, y) be the 2-variable function u(x, y) = (x + 2)y − exp(x + y). (a) Find the partial derivatives ux, uy, uxx, uyy, and show that uxy = uyx.
(b) Show that u has a stationary point for y = 1. Determine the corresponding value
of x and the character of the stationary point.

Complete the truth table a. t, f, f, t b. t f f f c. f t f t d f t f t

First work with stencil one. use a combination of reflections, rotations, and translations to see whether stencil one will overlap with the original pattern. list the sequence of rigid transformations you used in your attempt, noting the type of transformation, the direction, the coordinates, and the displacement in

Which term describes the point where the perpendicular bisectors of the three sides of a triangle intersect?