Homework Statement
Hey, I was wondering if I could get some help verifying my answers for these general thermodynamics concept questions. Thanks!
1. A reversible reaction is at equilibrium at constant pressure and temperature if the free energy of the system ______________.
2. Heat...
Homework Statement
lim as x\rightarrow-1 = \frac{|x^{2}-1|}{x^{2}+x}
Homework Equations
N/a
The Attempt at a Solution
Tried to write this as a piecewise function, but I got lost.
Homework Statement
\int xarcsin2xdx
2. The attempt at a solution
Can someone explain to me what is happening at step 2? I understand how the integration by parts was done, but where does the (1/8) or (2x) come from?
Homework Statement
\int\sqrt{4+9x^{2}}dx
Homework Equations
Pythagorean Identities?
The Attempt at a Solution
I find it sort of cumbersome to use the special formatting here, so I hope it is okay that I just photocopied my work on paper.
You can see how far I made it, but...
Homework Statement
http://img857.imageshack.us/i/no34.jpg/ [Broken]
Homework Equations
The Fundamental Theorem of Calculus, i.e., taking the derivative of an integral yields the original function.
The Attempt at a Solution
I am not sure how to go about integrating this function...
Homework Statement
*note that this is the graph of the derivitive of the function f(x).
Homework Equations
Possibly the fundamental theorems of calculus?
The Attempt at a Solution
I know this problem should be easy, but I am not seeing how my book comes to the answer. Below is the...
Homework Statement
How many 4-letter codes can be formed using the letters A, B, C, D, E, and F? No letter can be used more than once.
Homework Equations
N/A?
The Attempt at a Solution
I really didnt know where to begin . . .
Homework Statement
lim x->0 (1-cosx)/sinx
Homework Equations
(sinx)/(1+cosx) = (1-cosx)/(sinx)
sinx/x = 1
The Attempt at a Solution
Well, I know I need to change my original limit, as I cannot let the denominator be 0. I usually try to factor out things, but there is nothing to...
Homework Statement
Determine if each of the following is true or false. If false, give a counterexample.
Arccot (cot x) = x for all x
Homework Equations
cot= 1/tan x
Principal values of tan are -90 degrees <x <90 degrees
Capitalization of trig function indicates a function with...
Homework Statement
Identify the graph of each equation. Write the equation of the translated graph for T(-5,6) in general form. Then draw the graph.
4x2 + 5y2 = 20
Homework Equations
Ax2 + Bxy + Cy2 + Dx + Ey + F = 0
The Attempt at a Solution
I put the equation instandard form and...
Homework Statement
Evaluate the expression "log base 8 of 16"
Homework Equations
Don't know of any
The Attempt at a Solution
I dont know where to begin. I have read the textbook chapter on logarithms three times over, and I am now more thoroughly confused than ever. My textbooks...
Homework Statement
The sum of the first six terms in a geometric sequence of real numbers is 252.
Find the sum of the first four terms when the sum of the first two terms is 12.
Homework Equations
Sn = A1 - A1Rn
divided by 1 - R
R \neq 1
(I cant figured out how to make the...