X = {p, q, r, s} Y = {4, 5, 6, 7, 8} The function f: X→ Y is defined as: f = {(r, 7), (s, 8), (p, 5), (q, 4)}. What is f(p)? f(p) = Ex: 2 %3D Select the elements that are in the range of f: 4 5 7 8 LO

x*y+2x? Let f(x, y) = and find f,(1,2) and f,(1,2) 3x- y

Below are six functions, as well as six contour maps. Determine which function matches each contour map. Which contour map matches f(x, y) = vx? ? Which contour map matches f(x, y) = Vx2 + y2? ? Which contour map matches f(x, y) = x² – y? ? Which contour map matches f(x, y) = 6 – 2x – 3y? ? Which contour map matches f(x, y) = 1 – |x| – |y|? ? Which contour map matches f(x, y) = 4 – x² – y2? ? А B D F

2. Using difference quotients, estimate f,(3, 2) and 5,(3, 2) for the function given by S(x, y) = y+1 [Recall: A difference quotient is an expression of the form (S(a + h, b) – f (a, b))/h.] 3. Use difference quotients with Ax = 0.1 and Ay = 0.1 to estimate f,(1,3) and f,(1,3), where S(x, y) = e* sin y. Then give better estimates by using Ax = 0.01 and Ay = 0.01.

Find fx, fy, f₂, and fyz for the following. Also find fy (5,5, − 3) and fyz (1, − 1, 0). - f(x,y,z)=x5 + 5yz + 3z4