An Introduction to Thermal Physics
1st Edition
ISBN: 9780201380279
Author: Daniel V. Schroeder
Publisher: Addison Wesley
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Question
Chapter 2.4, Problem 12P
(a)
To determine
A graph for natural logarithm function.
(b)
To determine
To show the value of
(c)
To determine
To show that the value of
(d)
To determine
To show the approximate value of
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Let X be a random variable whose density is given by the formulaf(x) = cx2 if x ∈ (0, 2) 0 if otherwise.(a) Find c.(b) Let Y be the integer part of X, i.e., Y = 0 if 0 ≤ X < 1 and Y = 1 if 1 ≤ X < 2. Let Z be the fractional part of X, i.e., Z = X −Y . Find the correlation between Y and Z.
Step 1
Rewrite the original integral
Therefore,
let
du
a² + u²
(²)
dt as
+ 16
= arctan(y) to
Step 2
Use the following integration formula for the inverse trigonometric functions.
1.20
t
(27²2² +42 (2) ot = (-
t
1
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X
X
4
2 (2) dt
arctant
arctan
tan()+c
4
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Q.3: A) Solve the following equations (find x, y, z) by using inverse matrix method.
(Note: Check the answer by the calculator)
cos 0 + In
)+ 2** = -3
22+
1+ cos 20
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2
2
+ 2ln /y+ 2² = –3
1 + (tan 0)²
Chapter 2 Solutions
An Introduction to Thermal Physics
Ch. 2.1 - Prob. 1PCh. 2.1 - Prob. 2PCh. 2.1 - Prob. 3PCh. 2.1 - Prob. 4PCh. 2.2 - For an Einstein solid with each of the following...Ch. 2.2 - Prob. 6PCh. 2.2 - Prob. 7PCh. 2.3 - Prob. 8PCh. 2.3 - Use a computer to reproduce the table and graph in...Ch. 2.3 - Use a computer to produce a table and graph, like...
Ch. 2.3 - Use a computer to produce a table and graph, like...Ch. 2.4 - Prob. 12PCh. 2.4 - Fun with logarithms. (a) Simplify the expression...Ch. 2.4 - Write e1023 in the form 10x, for some x.Ch. 2.4 - Prob. 15PCh. 2.4 - Prob. 16PCh. 2.4 - Prob. 17PCh. 2.4 - Prob. 18PCh. 2.4 - Prob. 19PCh. 2.4 - Suppose you were to shrink Figure 2.7 until the...Ch. 2.4 - Prob. 21PCh. 2.4 - Prob. 22PCh. 2.4 - Prob. 23PCh. 2.4 - Prob. 24PCh. 2.4 - Prob. 25PCh. 2.5 - Prob. 26PCh. 2.5 - Prob. 27PCh. 2.6 - How many possible arrangements are there for a...Ch. 2.6 - Consider a system of two Einstein solids, with...Ch. 2.6 - Prob. 30PCh. 2.6 - Fill in the algebraic steps to derive the...Ch. 2.6 - Prob. 32PCh. 2.6 - Use the Sackur-Tetrode equation to calculate the...Ch. 2.6 - Prob. 34PCh. 2.6 - According to the Sackur-Tetrode equation, the...Ch. 2.6 - For either a monatomic ideal gas or a...Ch. 2.6 - Using the Same method as in the text, calculate...Ch. 2.6 - Prob. 38PCh. 2.6 - Compute the entropy of a mole of helium at room...Ch. 2.6 - For each of the following irreversible process,...Ch. 2.6 - Describe a few of your favorite, and least...Ch. 2.6 - A black hole is a region of space where gravity is...
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