Use the Intermediate Value Theorem in Exercises 71–78 to

Introductory Chemistry 5
What are the main assumptions of kinetic molecular theory?

Classical Mechanics 0
Consider a mass m constrained to move on the x axis and subject to a net force F = kx where k is a positive constant. The mass is released from rest at x = x0 at time t = 0. Use the result (2.85) in Problem 2.12 to find the mass's speed as a function of x; that is, dx I dt = g(x) for some function g(

Chemistry 11
The thin outer layer of Earth, called the crust, contains only 0.50 percent of Earth's total mass and yet is the source of almost all the elements (the atmosphere provides elements such as oxygen, nitrogen, and a few other gases). Silicon (Si) is the second most abundant element in Earth's crust (27.

Chemistry: The Central Science 13
Problem 103AE A mixture of N2(g) and H2(g) reacts in a closed container to form ammonia, NH3(g). The reaction ceases before either reactant has been totally consumed. At this stage 3.0 mol N2, 3.0 mol H2, and 3.0 mol NH3 are present. How many moles of N2 and H2 were present originally?

Biology: The Dynamics of Life 1
How does ATP store energy?

Numerical Analysis 9
The following four methods are proposed to compute 211/3. Rank them in order, based on their apparent speed of convergence, assuming p0 = 1. a. pn = 20pn1 + 21/p2 n1 21 b. pn = pn1 p3 n1 21 3p2 n1 c. pn = pn1 p4 n1 21pn1 p2 n1 21 d. pn =  21 pn1 1/2

Essentials of Understanding Psychology 11
Match the portion of the brain with its function: a. medulla 1. b. pons 2. c. cerebellum 3. d. reticular formation 4. Maintains breathing and heartbeat. Controls bodily balance. Coordinates and integrates muscle movements. Activates other parts of the brain to produce general bodily arousal.

Brief Applied Calculus
First make a substitution and then use integration by parts to evaluate the integral. \(\int t^{3} e^{-t^{2}} d t\)