Find a general solution of the inhomogeneous equation y′′ + 2y′ + 5y = f(x) for
the following cases: (i) f(x) = 1 (ii) f(x) = x2 (iii) f(x) = e−x sin2x (iv) f(x) = e−x (v)
sin2x

An object of mass 3.05 kg, moving with an initial velocity of 4.90 i hat m/s, collides with and sticks to an object of mass 2.01 kg with an initial velocity of -3.62 j hat m/s. Find the final velocity of the composite object.

v=(......i+.....j)

Give real life software project examples which are best suited to be developed in the following development methodologies. Also give reason behind your choice. (For example for facebook, agile will be a good choice)

a) Waterfall

b) System Prototype

c) V-Model

d) Agile

Source Problem:

Design a grounded-load v-I converter that converts a 0V to 10V input to a 4mA to 20mA output. The circuit is to be powered from +/-15V regulated supplies.

My Question:

What does it mean by a grounded-load? I am not really familiar with this term.

Two of the most important Supreme Court cases dealing with long arm jurisdiction are the International Shoe case (in the text) and the Worldwide Volkswagen v. Woodson (Supreme Court website or other source) case.

What is the minimum contacts standard? How does it work, and when is it applied?

Starting from the one-dimensional motion equation x=Xo + vt

prove that v^2 = Vo^2 + 2a(X-Xo)

If you could eplain as well why/ how each step in the problem proves the equation, this would be greatly helpful.

Thank you!

From Classics of Philosophy(3e) by Louis Pojman and Lewis Vaughn textbook with in-text citation answer the question;

1) In section V of his Enquiry Concerning Human Understanding, David Hume proposes a solution to the problem of doubt -- identify and describe this solution as it relates to radical doubt.

Question 5: Say that we are given a directed graph with costs 1 or 2 on every edge and a vertex s. Give the fastest algorithm you can to find the distance from s to all the vertices in V − s.

Please explain the algorithm in words, not pseudocode. Thanks.

finish the java programming

Create a new class named MyCharacterListTools that provides the API shown below.

This class does not need a constructor nor will any user-defined constructor be called by the

provided code in MainClassQ1.java.

◦ MyLinkedList createCharacterList(String str) – This method is to

return a MyLinkedList whose data items are the characters of str. All of the

characters must appear in the list and in the same order as they are given in str.

◦ void removeNonLetters(MyLinkedList list) – This method is to remove

from the list any spaces, numbers and punctuation characters (this is to be done inplace).

Letters of the alphabet are to be left in the list in the same order they were given.

For example, if the list contained {H_e_l_l_o_ _W_o_r_l_d_!} then after calling this

function, the list would hold {H_e_l_l_o_W_o_r_l_d}. You may use the built-in Java

static method Character.isLetter(char ch) to test whether the list items are

letters.

◦ boolean testEquality(MyLinkedList l1, MyLinkedList l2) – This

method is to compare two MyLinkedLists for equality. Two lists are considered

equal if their contents are the same and in the same order. Letter case should not be

observed (i.e. 'A' is equal to 'a', 'B' is equal to 'b', etc...). If the two lists are equal then

return true. Return false otherwise. The static built-in Java methods

Character.toLowerCase(char ch) and Character.toUpperCase(char

ch) may be used in this method.