ANSWER:
the derivative of a function can often be used to approximate certain function values with a surprising degree of accuracy
Suppose f is a differentiable function of x and y, and gr,s) - 2r - S,...
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
14. (-12 points] DETAILS SCALCETS 14.5.016. Suppose f is a differentiable function of x and y, and oC, s) - 9-s, 2 - 21). Use the table of values below to calculate g (5,2) and 9(5,2). f g 2 3 (43, -6) (5,2) fxy 1 8 7 9 3 2 9.(5,2) 9.(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...
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...
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...
Let f(x,y,z) = xy + z-5,x=r +2s, y = 2r - sec(s), z = s Then I is: ar a. r - sec(s) b. sec(s) c. r+s+sec(s) d. 4r + 4s - sec(s) a. b. C. Given zº – xy + y2 + y2 = 2 and z is a differentiable function in x and y. Then at (1,1,1) is: дх a. 0 b. 1 c. d. e. None of the above o a. o b. ♡ C. o d.
Need some explanation on these please and thank you so
much!
Suppose f(x) is an invertible differentiable function and f(4) 5, f(5) 3, f'(4) 3, f' (3)-4 Find (l) (5). b) -3 d) 3 e) 9-7 4 g none of the above The graph of f"(a) (the second derivative of f) is shown below. Where is fCx) concave up? -4-3-223 4 6 a) (-0o,-6) u (5,7) -3, 6) D(-6,5) U (7,00) g)none of these.
Suppose f(x) is an invertible differentiable...
Please prove by setting up the theorem below (Chain Rule)
v:RR is continuously differentiable. Define the Suppose that the function function g : R2R by 8(s, t)(s2t, s) for (s, t in R2. Find ag/as(s, t) and ag/at(s, t) Theorem 15.34 The Chain Rule Let O be an open subset of R and suppose that the mapping F:OR is continuously differentiable. Suppose also thatU is an open subset of Rm and that the functiong:u-R is continuously differentiable. Finally, suppose that...
5. This problem concerns a function , about which the following information is known . fis a differentiable function defined at every real number x. y-f'(x) has its graph given in the middle picture below S. This problem concerns a function f, about which the following information is f is a differentiable function defined at every real number x. y(x) has its graph given in the middle picture below. Construct a first derivative sign chart for f. Clearly identify all...
Suppose f is a continuous and differentiable function on [0,1] and f(0)= f(1). Let a E (0, 1). Suppose Vr,y(0,1) IF f'(x) 0 and f'(y) ±0 THEN f'(x) af'(y) Show that there is exactly f(ax) and f'(x) 0 such that f(x) one Hint: Suppose f(x) is a continuous function on [0, 1] and f(0) x € (0, 1) such that f(x) = f(ax) f(1). Let a e (0,1), there exists an
Suppose f is a continuous and differentiable function on...