1Let g: R→ R3 AND f: R3→R? be a c' function. g(5)=[3],f(1,3,2)=(3,0), g'(5)=(-2,2,2), andwmp m-1-2Derivative Matrix of f(1,3,2)=[ ,5-2.2-2-What is the approximate value of (f°g)(5.02)=?«

Given the functions g:ℝ→ℝ3 with g5=132, g'5=-222, and f:ℝ3→ℝ2 with f132=30, Df132=-2-1-225-2. We…

Answered: Let g: R- R$ AND f: R3→R² be a c²…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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(part 1 of 4) A function f is defined by f(x, y) = (x+8) (y-6)(x + y − 4). - (i) Determine fx for the function f. 1. fx(x,y) (x + 8) (x - 2y + 4) 2. fz(x, y) 3. fx(x,y) 4. f(x,y) 5. fx(x, y) 1. fy(x, y) 2. fy(x, y) = 3. fy(x, y) - = = = (part 2 of 4) (ii) Determine fy for the function f. = = = (y + 8) (2x + y +12) (x − 6) (x + 2y — 10) = (y − 6)(2x − y + 12) (y − 6) (2x + y + 4) (y − 6) (2x + y − 10) (y +6)(2x + y + 4) (x + 8) (x + 2y — 10) - 4. fy(x, y) = (x + 8) (x + 2y + 2) 5. fy(x, y) (x − 6) (x – 2y — 10)
Let r(x) = f(g(x)) and s(x) = g( f(x)), where f and g are shown in the figure. Find (a) r′(1) and (b) s′(4).
The function, f(x), in the graph below has f(1) = 1 and f'(1) = = 2. Which of the following are the coordinates of points A and B? A f(x) 1 1.1 Select one: A(1,1) and B(1.1, 1.2) A(1,2) and B(1.1, 1.21) A(1.2,1) and B(1, 2) A(1,1) and B(1.1, 1.21) A(2,1) and B(1.2, 1.1)
please solve it on paper
Consider a function z = F(u(s, t), v(s, t)) where F, u, and u are differentiable and u(8, 6) = -1, v(8, 6) = 2, u, (8, 6) = 5, u, (8, 6) = 9, vs(8, 6) = −3, v₁(8, 6) = 4, Fu(-1,2) = -4, and F(-1,2)= -10. Compute and when s = 8 and t = 6 dt
5e- 2e- |-7e-/ X = Find dX/dt of Matrix:
The characteristic equation of the ODE y(3) -2y'+y?=0 is defined by p3 – 2 =0 p – 2r+1=0 r³-2r=0 3-2r²+r=0
Determine R(t) if R'(t) = <26²1-4, +/=1+1) and R (2) = <3₁-5,0).
are complex valued functions. Also, f'(i) = 7i, g(7+ 2i) = i, g'(7+ 2i) =-4+ i. 9(7+2i Find (f og)' (7+2i). 2 20 7– 287 -4i

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Let g: R- R$ AND f: R3→R² be a c² function. g(5)=[3].f(1,3,2)=(3,0), g'(5)=(-2,2,2), and 2 -2 -1 Derivative Matrix of f(1,3,2)=[ , 2 -2- What is the approximate value of (f°g)(5.02)=?-