Question 27 4 pts Find the partial derivative. Let z = f(x,y) = 9x2 - 11xy...
1. Given f(x,y) = z as z = 2 +y find: (a) the partial derivative f(x,y). (b) the partial derivative fy(2,y).
Find the indicated partial derivative. f(x, y, z) = eryz7; fxyz fxyz(x, y, z) = _______
Exercise 2. Directional derivative (6 pts + 9 pts) Let f(x, y, z) = xy + y2 – 23 – 105. ... touch 25% 17:12 docs.google.com 2) The direction in which f decreases most rapidly at A(0,1,1) is: a. e. None of the above a. b. C. Exercise 3. Chain rule (15 pts) Let f(x,y,z) = xy +z-5,x=r+2s,y = 2r - sec(s),z=s
Question 5 4 pts Find the second derivative of the given functions: f(x) = 8x3.9x2 + 6x +4 (a) 48 (b) 48x2 + 18 (c) 48x2-18x (d) 48x - 18 (e) 48x + 18 O (a) O (b) O (c) O (d) O (e)
Let f(x, y, z)=zxly. Find the value of the following partial derivatives. (a) f(4,4,3) (b) fy(4, 2, 4) (c) f(2,4,3)
Find the indicated partial derivative. f(x, y) = y sin-(xy); fy(2, 4)
Exercise 2. Directional derivative (6 pts + 9 pts) Let f(x, y, z) = xy + y2 – 23 – 105. 2) The direction in which f decreases most rapidly at A(0,1,1) is: 2 a. + 3 b. 是最+ i ++ d. 高+ C. 3 14 e. None of the above
Find The indicated second-order Partial derivative. fxx(x,y) if f(x,y)=5x-3y+3 Find the indicated second-order partial derivative. fxx (x,y) if f(x,y) = 5x - 3y + 3 fxx(x,y) =
Find The indicated second-order Partial derivative. fxx(x,y) if f(x,y)=5x-3y+3 Find the indicated second-order partial derivative. fxx (x,y) if f(x,y) = 5x - 3y + 3 fxx(x,y) =
Question 2 6 pts Find the standard form of 9x2 + 18x + y2 – 4y +4 = 0.(Remember that the conic section formulas are given at the top of this exam). (2+1) (y-2) + 1 9 O (2+1) + (0-2) = 1 0 (x + 1)² + (y - 2)² = 9 t 0 (x + 1)2 + (y - 2) =