14. (-12 points] DETAILS SCALCETS 14.5.016. Suppose f is a differentiable function of x and y,...
Suppose fis a differentiable function of x and y, and g(r,s) - 8r - S, s2 - 7/). Use the table of values below to calculate 9:3, 6) and 9:(3,6). f fx 9 4 Fy 3 9 2 (18, 15) (3,6) 4 9 7 8 9.(3, 6) = 9s(3, 6) = Need Help? Read It Talk to Tutor
Suppose f is a differentiable function of x and y, and gr,s) - 2r - S, 52 - 5r). Use the table of values below to calculate 9 (8,3) and 9(8,3). (13, -31) 2 1 6 3 (8,3) 1295 9.(8,3) - 9s(8,3) - Need Help? Read it
Explain why the function is differentiable at the given point. ROX. y) 6 + x In xy - 9). (5,2) The partial derivatives are x,y) and f(x, y) = .00 1,(5,2) - c and 15, 2) = Bothf, and fare continuous functions for xy > and is differentiable at (5,2) Find the linearization ( ) of (x, y) at (5,2).
Suppose f is a differentiable function of x and y, and g(r, s) f(8r - s, s2 - 5). Use the table of values below to calculate g(4, 6) and s(4, 6) fx (26, 16) 6198 (4, 6)1652 (4, 6) g(4, 6)- The temperature Tin a metal ball is inversely proportional to the distance from the center of the ball, which we take to be the origin. The temperature at the point (2, 1, 2) is 140°K Find DuT, the...
Suppose that f is a twice differentiable function and that its second partial derivatives are continuous. Let h(t) = f(x(t), y(t)) where x = 2e and y = 2t. Suppose that f:(2,0) = 4, fy(2,0) = 3, fx=(2,0) = 2, fyy(2,0) = 3, and fxy(2,0) = 2. Find out that when t=0.
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
statisfied the PDE Suppose that λ-λ 1,22 are constants such that u(x, y)-F(x + λy) 24 u(x,y))-10 ya for any twice-differentiable function of one variable F(s) Suppose also that λ1 λ2 , enter the values of λ 1, λ2 in the boxes below. 6 2 Hence the soution will be of the form Solve the PDE with the initial conditions u (x, 0)-5 sin (a), lty (x,0)-0. Enter the expression for u(x, y) in the box below using Maple syntax...
0/3 POINTS PREVIOUS ANSWERS SCALCETS 4.3.005. The graph of the derivative f' of a function f is shown. 6 8 10 12 (a) on what interval is fincreasing? (Enter your answer using interval notation) On what intervals is f decreasing? (Enter your answer using interval notation.) (by At What values of x does have a local maximum or minimum? (Enter your answers as a comma-separated lista
2. Suppose the linear approximation of a differentiable function f(x, y, z) at the point (1,2,3) is given by L(x, y, z) = 17+ 6(x – 1) – 4(y – 2) + 5(2 – 3). Suppose furthermore that x, y and z are functions of (s, t), with (x(0,0), y(0,0), z(0,0)) = (1, 2, 3), and the differentials computed at (s, t) = (0,0) are given by dx = 7ds + 10dt, dy = 4ds – 3dt, dz = 2ds...
For problems 8-12, use the graph of y=f(x) and the table for g(x) and g'(x) to compute the indicated derivatives. Write your final answer and only your final answer) in the space provided. Answers should be exact and fractions should be used where appropriate (do not use numbers in decimal form). 1 -4 -2 g(x) 2 5/2 3 14/5 &'(x) 7/5 1/2 1/4 -1/4 0 2 قيا 2 - 1 -2 - 1/2 4 0 5 6 8 1 6...