For each of the following functions, f(x, y), determine (af/oy) 2-5 Homework f(x, y) x3y+12 Basic...
Given f(x,y) = 2y + 3y + yin(x) + x, find af ах +5 X af — 12ух -7+езу, у +1 ах af = 2ух -6+ у ах Х Од у 1 = 2ух -6+ ах Х о af 12ух-74У +1 ах Х
4) IVAN TUJU.7. LT If y = f(x) and y = g(x) are differentiable functions with values of the functions and their derivatives as indicated in the table below, compute the derivative (5(8(x)) + g(f(x))) evaluated at x = 4: * f(x) f(x) g(x) g(x) 4 5 8 8 11 5 4 12 8 1124 10
Piecewise Functions Graph: f(x) = x +5 if x 21 if x< 1 Calculate: 11) f(1) = 12) f(-3) = 13) f(2)= Functions: 1) Find g(2)= 1963 2) Find x-intercepts 3) Find y intercept 4) Find Domain of g 5) Find Range of g 6) For what value of x is g(x) = 0? 7) For what value of x is g(x) = 2? 8) Interval where g is decreasing - 9) Relative Maximum Point
(1) For each of the following functions, determine if it is injective and determine if it is surjective. Justify your answer. (a) f : R → R, f(x) = 2x + 3. (b) g : R → R 2 , g(x) = (2x, 3x −1). (c) h : R 2 → R, h((x, y)) = x + y + 1. (d) j : {1, 2, 3} → {4, 5, 6}, j(1) = 5, j(2) = 4, j(3) = 6. (2)...
Simplify the following Boolean functions using four-variable maps: F(w, x, y, z) = Σ (1, 4, 5, 6, 12, 14, 15) F(w, x, y, z) = Π (0, 1, 4, 5, 6, 7, 8, 9) AB’C + B’C’D’ + BCD + ACD’ + A’B’C+ A’BC’D (A xor B)’ (C xor D)
2. Let f(x, y) = xy (2] (a) Findäf af and Vf. 5 (b) Find a unit vector u for which Duf(v2, V2) = 0. 2. Let f(x, y) = xy (2] (a) Findäf af and Vf. 5 (b) Find a unit vector u for which Duf(v2, V2) = 0.
Homework Algebra 2 5. V2x + 12 = x + 2 6. Vx + 6 – x = 4 I 7. 4(x – 5)ź = 12 8. 2(x – 50)5 = -10
7. Show that the following functions u(x, y) monic functions v(x, y) and determine f(z) = u(x,y) + iv(x, y) are harmonic, find their conjugate har- as functions of 2. 2x2 2лу — 5х — 22. Зл? — 8ху — Зу? + 2у, (а) и(х, у) (b) и(х, у) (с) и(х, у) (d) u(a, y) 2e cos y 3e" sin y, = 3e-* cos y + 5e-" sin y, = elx cos y - e y sin y, (e) u(x,...
please anybody help me Use a graphing utility to graph the function. Functions Trigonometic functions f) = 5 snºx- cosx) -10 sinxcosx- sinx = 0 + + + i + + + 1 2 3 4 5 6 7 8 9 10 x TT 1 -1 + 2 3 4 5 6 7 8 9 10 1 7 T 7 x 10 8 6 5 4 3 2 1 1 - * 016 8 9 5 + t tt +...
consider two wave functions, y,(x, t) = 3.70 m sinl-m-"X-5π s-산 and 5 4 (a) Uslng a spreadsheet, plot the two wave functlons and the wave that results from the superposltlon of the two wave functions as a function of position (0.00 x 19.00 m) for the time t = 0.00 s x (m) x (m) 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 8 7 6 5 4 3 2...