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Integration by Parts:
When integrating by parts which is more important to set to u and dv, Example
Integral of e^(2x)*cos(3x)dx, what are you determining factor in choosing which to set to what?
Let R be a commutative ring with 1. Prove that if (a,b)=1 and a divides bc, then a divides c. More generally, show that if a divides bc with nonzero a,b then a/(a,b) divides c.
Clarification of Probability Distribution. Determine whether each of the distributions given below represents a probability distribution. Justify your answer.
Learning is a lifetime activity. For some, it means learning from everyday experiences; for others, it means taking classes in a more traditional atmosphere. The percentage of people participating in organized learning situations during 2002 for e..
Creating matlab code using these linear algebra concepts. 1500 points for help with any of these! Preferably all but I've posted this multiple times and it seems no one can help
Let K1 and K2 be finite extensions of F contained in the field K, and assume both are splitting fields over F. Prove that their composite K1K2 is splitting field over F.
Write a program for the arithmetic (negation of an integer, addition, subtraction and multiplication of two integers) of integers using 3's complement representation.
Let S={1,2,3,4,5,6,7,8}. Test the following binary relation on S for reflexivity, symmetry, antisymmetry, and transitivity
Find the probability of correctly answering the first 2 questions on a multiple choice test if random guesses are made and each question has 5 possible answers
If the population mean is 36, are the serial killers significantly more introverted at the .05 level? Perform the appropriate one-tailed test.
A computer network consists of six computers. Each computer is directly connected to at least one of the other computers. Show that there are at least two computers in the network that are directly connected to the same number of other computers
Explain the quotient rule for exponents and give an example. Explain the power rule for exponents and give an example. Explain the negative exponent rule and give an example.
A nontrivial graph G is called prime if G = G_1 x G_2 implies that G_1 or G_2 is trivial. Show that if a connected graph G has a vertex which is not in a cycle of length four, then G is prime.
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