Use a proof by cases (as in the proof of Result 3.29) to prove the following

Introductory Chemistry 5
Determine the mass (in g) of each NaCl solution that contains 1.5 g of NaCl. (a) 0.058% NaCl by mass (b) 1.46% NaCl by mass (c) 8.44% NaCl by mass

University Physics 13
Problem 88CP CALC? A projectile thrown from a point P moves in such a way that its distance from P is always increasing. Find the maximum angle above the horizontal with which the projectile could have been thrown. Ignore air resistance.

Principles of General Chemistry 2
How many grams of solid barium sulfate form when 35.0 mL of 0.160 M barium chloride reacts with 58.0 mL of 0.065 M sodium sulfate? Aqueous sodium chloride forms also.

Classical Mechanics 0
Consider a particle of mass in and charge q moving in a uniform constant magnetic field B in the z direction. (a) Prove that B can be written as B= V x A with A = 413 x r. Prove equivalently that in cylindrical polar coordinates, A = 1Bp b. (b) Write the Lagrangian (7.103) in cylindrical polar coordi

Fundamentals of Statistics 4
Male vs. Female Drivers (Refer to Problem 34, Section 4.1.) The following data represent the number of licensed drivers in various age groups and the number of fatal accidents within the age group by gender. \(\begin{array}{|c|c|c|c|c|} \hline \text { Age } & \begin{array}{c} \text { Number of } \\ \

Glencoe Accounting: First Year Course, Student Edition 1
Identifying Types of Businesses Instructions In your working papers, indicate whether each of the following businesses is a service business, a merchandising business, or a manufacturing business. 1. International Business Machines (IBM) 2. Gap 3. Glendale Memorial Hospital 4. Avis Ren

Psychology 5
The prisoners dilemma game illustrates a. in-group favoritism. b. the diffusion of responsibility. c. group polarization. d. the benefits and costs of cooperation.

College Physics: Explore and Apply 2
What was the approximate radius of the part of the track where the drivers experienced the 5.5g acceleration? (a) 40 m (b) 80 m (c) 200 m (d) 400 m (e) 1000 m