question archive 1) Determine the first 4 nonzero terms of the Taylor series for the solution y φxy'' xy' x2y yy' = () of the given initial value problem, + cos()+ = 0; (0) = 1, (0) = 1
1) Determine the first 4 nonzero terms of the Taylor series for the solution y φxy'' xy' x2y yy' = () of the given initial value problem, + cos()+ = 0; (0) = 1, (0) = 1
Subject:MathPrice: Bought3
1) Determine the first 4 nonzero terms of the Taylor series for the solution y φxy'' xy' x2y yy'
= () of the given initial value problem, + cos()+ = 0; (0) = 1, (0) = 1.
What do you expect the radius of convergence to be? Why?
2) In two dimensions find the matrix transformation composed of one translation
followed by one rotation which moves the line segment joining (4, 3) to (7, 2) so that the point (4, 3) moves to the origin and the segment lies along the positive x-axis. Then find the image of the origin under this transformation.
3) Decrease and Conquer
Devise another possible solution for the fake coin problem. You may revise the discussed algorithm. Propose a code solution for the fake coin problem. Assume that the number of coins is n and the weight of the real coin is 15 grams. Use the decrease by a constant factor variation. (Note: A pseudocode will suffice as a solution)
