Prove that for fixed s > 0, we have

Introductory Chemistry 5
Problem 29P Which statements are inconsistent with Rutherford's nuclear theory as it was originally stated? Explain your answers. (a) Helium atoms have two protons in the nucleus and two electrons outside the nucleus. (b) Most of the volume of hydrogen atoms is due to the nucleus. (c) Aluminum atoms

Introductory Chemistry 5
Determine the number of protons and electrons in each ion. (a) \(\mathrm{Al}^{3+}\) (b) \(\mathrm{S}^{2-}\) (c) \(\mathrm{I}^{-}\) (d) \(\mathrm{Ag}^{+}\)

Probability and Statistical Inference 9
Let \(X_{1}\) and \(X_{2} be independent Poisson random variables with respective means \(\lambda_{1}=2\) and \(\lambda_{2}=3\). Find = 2 and = 3. Find (a) \(\mathrm{P}\left(X_{1}=3, X_{2}=5\right)\) (b) \(\mathrm{P}\left(X_{1}+X_{2}=1\right)\) Hint. Note that this event can occur if and

Fundamentals of Physics 10
In the return stroke of a typical lightning bolt, a current of 2.5 ' 104 A exists for 20 ms. How much charge is transferred in this event?

Chemistry 9
Glycerin, C3H8O3, is a nonvolatile liquid. What is the vapor pressure of a solution made by adding 164 g glycerin to 338 mL H2O at 39.88C? The vapor pressure of pure water at 39.88C is 54.74 torr and its density is 0.992 g/cm3 .

Concepts of Biology 1
Figure 1.8 Which of the following statements is false? A. Tissues exist within organs which exist within organ systems. B. Communities exist within populations which exist within ecosystems. C. Organelles exist within cells which exist within tissues. D. Communities exist within ecosystems which exis

Cognitive Psychology 3
What is the difference between explicit memory and implicit memory? What are the two types of explicit memory? The three types of implicit memory?

Urban Economics 8
Diesel Cost and Market Areas Consider Figure 23 , which shows the market areas of sugar-beet processing plants. Suppose that an increase in the price of diesel fuel doubles the cost of hauling sugar beets from farms to processing plants. Modify Figure 23 to show the effects of higher transport costs.