Parallel line and plane Show that the plane ax + by + cz =

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.

Principles of General Chemistry 2
Earths oceans have an average depth of 3800 m, a total area of \(3.63\times10^8\ \text{km}^2\), and an average concentration of dissolved gold of \(5.8\times10^{-9}\ \text{g/L}\). (a) How many grams of gold are in the oceans? (b) How many m3 of gold are in the oceans? (c) Assuming the price of gold i

Organic Chemistry 2
Propose the structure of a compound that exhibits the following 1 H NMR data: (a) C5H10O 1.09 d (6H, doublet) 2.12 d (3H, singlet) 2.58 d (1H, septet) (b) C5H12O 0.91 d (3H, triplet) 1.19 d (6H, singlet) 1.50 d (2H, quartet) 2.24 d (1H, singlet) (c) C4H10O 0.90 d (6H, doublet) 1.76 d (1H, multiplet)

Organic Chemistry 11
Write structural formulas for all of the alkenes with (a) the formula C2H2Br2 and (b) the formula C2Br2Cl2. In each instance designate compounds that are cistrans isomers of each other. Predict the dipole moment of each one.

Campbell Biology in Focus - Standalone book 1
What is the single greatest threat to biodiversity? a. overharvesting of commercially important species b. introduced species that compete with native species c. pollution of Earths air, water, and soil d. disruption of trophic relationships as more and more prey species become extinct e. habitat alt

Calculus: Early Transcendentals 9
A rechargeable battery is plugged into a charger. The graph shows C(t), the percentage of full capacity that the battery reaches as a function of time t elapsed (in hours). (a) What is the meaning of the derivative C(t)? (b) Sketch the graph of C(t). What does the graph tell you?

Psychology 1
What is egocentrism? Provide an original example.

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)=\left\{\begin{array}{rlr}-1 & \text {