(a) Prove that Mdx + Ndy = 0 has an integrating factor

Physics: Principles with Applications 6
A sports car of mass 950 kg (including the driver) crosses the rounded top of a hill (radius = 95 m) at 22 m/s. Determine (a) the normal force exerted by the road on the car. (b) the normal force exerted by the car on the 72-kg driver, and (c) the car speed at which the normal force on the driver equ

Physics: Principles with Applications 6
(II) A carton is given an initial speed of \(3.0 \mathrm{~m} / \mathrm{s}\) up the \(22.0^{\circ}\) plane shown in Fig. 455. (a) How far up the plane will it go? (b) How much time elapses before it returns to its starting point? Ignore friction.

Biology 8
Most CO2 from catabolism is released during a. glycolysis. b. the citric acid cycle. c. lactate fermentation. d. electron transport. e. oxidative phosphorylation.

Mathematical Statistics and Data Analysis 3
There is a great deal of folklore about the effects of the full moon on humans and other animals. Do animals bite humans more during a full moon? In an attempt to study this question, Bhattacharjee et al. (2000) collected data on admissions to a medical facility for treatment of bites by animals: cat

Chemistry: The Molecular Nature of Matter and Change - Standalone book 7
Despite many attempts, the perbromate ion (BrO4 2) was not prepared in the laboratory until about 1970. (In fact, articles were published explaining theoretically why it could never be prepared!) Draw a Lewis structure for BrO4 2 in which all atoms have lowest formal charges.

Organic Chemistry 9
Dimethylamine, (CH3)2NH, has a molecular weight of 45 and a boiling point of 7.4 C. Trimethylamine, (CH3)3N, has a higher molecular weight (59) but a lower boiling point (3.5 C). Explain this apparent discrepancy.

Inquiry into Physics 7
Two rectangular rugs are on display in a showroom. If one rug is twice as long as the other, does this necessarily mean that its area is also twice as large as that of the second? Explain.

Principles of Economics 6
Give an example of an opportunity cost that an accountant might not count as a cost. Why would the accountant ignore this cost?