Geology Meets Biology: How Hutton, Lyell & Darwin Shaped Evolutionary

An Introduction to Thermal Physics 1
Problem 11P Consider a gas of hard spheres, which do not interact at all unless their separation distance is less than r0, in which case then interaction energy is infinite. Sketch the Mayer f-function for this gas, and compute the second virial coefficient. Discuss the result briefly.

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics 3
Problem 36P The piston of a machine exerts a constant force on a ball as it moves horizontally through a distance of 15 cm. You use a motion detector to measure the speed of five different balls as they come off the piston; the data are shown below. Use theory to find two quantities that, when grap

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(

Probability and Statistics 4
Suppose that the lifetime of a certain type of lamp has an exponential distribution for which the value of the parameter is unknown. A random sample of n lamps of this type are tested for a period of T hours and the number X of lamps that fail during this period is observed, but the times at which t

Introduction to Probability 1
Let X1, X2,... be the annual rainfalls in Boston (measured in inches) in the years 2101, 2102, . . . , respectively. Assume that annual rainfalls are i.i.d. draws from a continuous distribution. A rainfall value is a record high if it is greater than those in all previous years (starting with 2101),

Introduction to Psychology: Gateways to Mind and Behavior 13
Exercise, meditation, and progressive relaxation are considered effective ways of countering negative self-statements. T or F?

Advanced Engineering Mathematics 10
Find the trigonometric polynomial F(x) of the form (2) for which the square error with respect to the given f(x) on the interval \(-\pi<x<\pi\) is minimum. Compute the minimum value for \(N=1,2, \cdots, 5\) (or also for larger values if you have a CAS). \(f(x)=|x| \quad(-\pi<x<\pi)\)

College Physics: Explore and Apply 2
A monkey has a cart with a horizontal spring attached to it that she uses for different tricks. In one trick, the monkey sits on the vibrating cart. When the cart reaches its maximum displacement from equilibrium, the monkey picks up a 0.30-kg cantaloupe from a trainer. The mass of the monkey and the