Answered: With f = {(0,6), (1,3), (4,7), (5,8)}…

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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b) Find Af(x) if f(x) = (3x+1)(3x+ 4)(3x+7)... (3x+ 19). / c) Let A = {1,2,3}, B = {a, b, c}, and C = {x, y, z}. Consider the following relations R and S from A to B and from B to C, respectively. R = {(1,b), (2,a), (2, c)} and S = {(a, y), (b,x), (c, y), (c, z) }. %3D %3D Find the matrix representation of S°R
1) If f (x) = 1 x-7 then f-1 (x) =2x+7 2 2) If f (x) = {(-3,1) (2,4) (-1, -1) (4,11)} then f -1 (x) = {(3,-1) (-2,-4) (1,1) (-4,-11)} a) True b) False * for the first question the 2 under the number 1 is suppose to be a fraction thank you and please write clearly.
I have attached my answers and I was wondering if they are correct
9. Given u = (2, -2), v = (5,8), and w = (-4, 3), find each of the following. (a) u v (b) (u. v)w (c) u. (2v) (d) ||w||²
If x) = V x-6, find the following. (a) 10) (b) x + 1) () +h) - Ax) (c)
f(x)- f(2) If f(x)=x- 6 then find 2 - x a) -1 b) 1 c) 2 d) -2
Simplify the given below Given Ax) = 3x-3x =2 and g(x) = x - 4, find: 1. A-3) 2 13) 3. A1-2) 4. 14) 5. g(-3) 6. g(-2) 7. 9 (1) S A-1) +g (5) O 12) +g (3) 10. 1-1) +g(-1)
Vx+6 g(x)- = X-9 a Evaluate g(19) 814)= b. Evaluate g3). ga) -
The domain for variables x and y is the set {1, 2, 3}. The table below gives the values of P(x, y) for every pair of elements from the domain. For example, P(2, 3) = T because the value in row 2, column 3, is T. P 1 2 3 1 T T T Select the statement that is true. (-P(x2)^((x+y)→P(y,2))) (P(x-2)^((x+y)→→P(y,2))) (-P(2,x)^((x+y)→→P(2,y))) Oxy(P(2,x)^((x+y)→→→P(2,y))) 2 T F T 3 T IT F
Suppose FW = Ax+B, with F6)-r and F() - 8, pind F) interms of A,B,r,s
Find the GCF of the following a) xy, y²x, x²y 2 b) x², x³, x³ c) y (2y - 1), 3(2y - 1)
I already answered number 3 and 4, I just need the first 2 subparts answered.

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With f = {(0,6), (1,3), (4,7), (5,8)} and g = {(-1, 2), (1, 4) , (2,3), (4,8)) Determines: A) f + g B) Fg C) f (g(x))