Prove that if m is an integer, then ?x? +?m ? x? = m ?

Fundamentals of Physics 10
Two particles are fixed on an x axis. Particle 1 of charge 40 mC is located at x # $2.0 cm; particle 2 of charge Q is located at x # 3.0 cm. Particle 3 of charge magnitude 20 mC is released from rest on the y axis at y # 2.0 cm.What is the value of Q if the initial acceleration of particle 3 is in th

Classical Mechanics 0
Write down the Lagrangian for a projectile (subject to no air resistance) in terms of its Cartesian coordinates (x, y, z), with z measured vertically upward. Find the three Lagrange equations and show that they are exactly what you would expect for the equations of motion.

Fundamentals of Statistics 4
The Empirical Rule The following data represent the weights (in grams) of a random sample of 50 M&M plain candies. (a) Determine the sample standard deviation weight. Express your answer rounded to three decimal places. (b) On the basis of the histogram drawn in Section 3.1, Problem 27, comme

Chemistry 11
Calculate the number of cations and anions in each of the following compounds: (a) 0.764 g of CsI, (b) \(72.8\ \text{g}\ K_2Cr_2O_7\), (c) \(6.54\ \text{g}\ \text{of}\ Hg_2(NO_3)_2\).

Biology 8
The anticodon of a particular tRNA molecule is a. complementary to the corresponding mRNA codon. b. complementary to the corresponding triplet in rRNA. c. the part of tRNA that bonds to a specific amino acid. d. changeable. depending on the amino acid that attaches to the tRNA. e. catalytic, making t

Mathematical Statistics with Applications 7
Let Y1, Y2, Y3,... Yn be independent standard normal random variables. a What is the distribution of n i=1 Y 2 i ? b Let Wn = 1 n n i=1 Y 2 i . Does Wn converge in probability to some constant? If so, what is the value of the constant?

Principles of Economics 2
Table 3.8 shows information on the demand and supply for bicycles, where the quantities of bicycles are measured in thousands. a. What is the quantity demanded and the quantity supplied at a price of $210? b. At what price is the quantity supplied equal to 48,000? c. Graph the demand and sup

Urban Economics 8
Consider the example shown in Tables 21 and 22. Suppose a single number changes: The shirt output per hour in the North is four shirts instead of six shirts. To specialize, a North household switches one hour from bread to shirts, and a South household switches two hours from shirts to bread. The exc