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Question: Construct the general solution of x' = Ax involving complex eigenfunctions and then obtain the general real solution. Describe the shapes of typical trajectories.
Math 121A: Homework 1. Two points P and Q are connected by a straight road of length d. At time t = 0, a car starts driving from P to Q at a constant speed c. Calculate the values of the infinite sequence a1, a2, a3, . . . of distances that the bee ..
How many samples contain at least 1 rotten apple?
Let the masses of blocks A and B be 4.00 kg and 2.00 kg , respectively, the moment of inertia of the wheel about its axis be 0.300 kg?m2, and the radius of the wheel be 0.130 m . Find the magnitude of linear acceleration of block A if there is no s..
Last season a pair of jeans cost $35.95. This season the price of the jeans increased by 25 percent. Later in the season, the jeans were put on sale for 25 percent off. How much did the jeans cost at the beginning of the season? What was their sale p..
quarter in a fixed-interest mutual fund paying annual interest of 7% compounded quarterly. How much will her account have in it at the end of 12 years
Acme Annuities recently offered an annuity that pays 7.8% compounded monthly. What equal monthly deposit should be made into this annuity in order to have $133,000 in 10 years?
A paint mixture contains 23 gallons of base for every gallon of color. In 552 gallons of paint, how many gallons of color are there?
Find the length of an arc intercepted by an a central angle of .769 radian on a circle with radius 11.4cm.
A d-ary tree is a generalization of a binary tree in which each internal node has d children. Using Eytzinger"s method it is also possible to represent complete d-ary trees using arrays. Work out the equations that, given an index i, determine th..
Let G be the group {10n : n∈Z} with respect to multiplication. Prove that G is isomorphic to Z. (The operation of Z is addition)
Writing this set of equations as an augmented matrix. Solve bothe the equations.
1. Find the slope of a line passing through the points (6, 7) and (1, 3). Round answers to two decimal places.
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