Nikolas
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Questions Asked

Nikolas:
Derivative of y = 6(x)ln(x)x+1? I haven't done any calculus in a year or so but think it's something to do with the chain rule. Not sure wh…
 updated one month ago
 2 replies
 1 Medal
Mathematics

Nikolas:
Hi, I'm having trouble understanding a step in the solution for z^(n)+(1/(z^n))=2cos(nθ). I will write the given solution below:
 updated one year ago
 6 replies
 1 Medal
Mathematics

Nikolas:
(imaginary number) does (i)^2 = 1?
That is what I have in my notes but I think it should be +1, by the following reasoning:
(i)^2=(sqrt{…
 updated one year ago
 4 replies
 2 Medals
Mathematics

Nikolas:
Hi, I'm having some trouble understanding the steps in the solution to an integration problem involving manipulating a coefficient. See the …
 updated one year ago
 7 replies
 2 Medals
Mathematics

Nikolas:
Consider the three linearly independent vectors \[{\vec{\boldsymbol u}}=\frac{ 1 }{ \sqrt{3} }\left(\begin{matrix}1 \\ 1\\ 1\end{matrix}\rig…
 updated one year ago
 7 replies
 1 Medal
Mathematics

Nikolas:
Show that cos((3x)/2)cos(x/2)=2sinxsin(x/2). See the attached image for more clarification. Any ideas?
 updated one year ago
 9 replies
 2 Medals
Mathematics

Nikolas:
Implicit differentiation  please see http://archives.math.utk.edu/visual.calculus/3/implicit.4/index.html  for the solution of the second …
 updated one year ago
 13 replies
 1 Medal
Mathematics

Nikolas:
Hi, I'm working on a problem about deriving the sum identity for the tangent ratio, and I'm a bit confused about the sign change. Please see…
 updated one year ago
 No Medals Yet
Mathematics

Nikolas:
Factor (x^(3/2))(a^(3/2)).
I know that generally the solution should be (xa) multiplied by some kind of binomial expansion, but the fract…
 updated one year ago
 4 replies
 1 Medal
Mathematics

Nikolas:
Hi there  I took some notes in my math class but I'm not sure I wrote them down correctly. Could someone please verify if this is correct o…
 updated one year ago
 2 replies
 No Medals Yet
Mathematics

Nikolas:
Solve 3 + sin2x = 1  6sin2x graphically over the domain 0 ≤ x < 2π.
I'm not too sure about how I should start looking at this... am I a…
 updated one year ago
 3 replies
 1 Medal
Mathematics

Nikolas:
Determine the approximate Ka for the indicators neutral red and chlorophenol red.
For each of these I found the midpoint in the pH range…
 updated one year ago
 No Medals Yet
Mathematics

Nikolas:
Determine the general solution of this equation: 2sinx = 3 + 2cscx.
I *think* I have to turn this into a quadratic equation somehow, but …
 updated one year ago
 4 replies
 2 Medals
Mathematics

Nikolas:
Prove that 1/(1+cosx) = csc^2(x)  cotx/sinx
I've tried a few things and can't seem to get this right... I think the first step is to cha…
 updated one year ago
 3 replies
 2 Medals
Mathematics

Nikolas:
Prove that (1tanx)/(1cotx) = tanx
I've got the first step, that (1sinx/cosx)/(1cosx/sinx) = tanx, but I'm not sure what to do next.…
 updated one year ago
 6 replies
 3 Medals
Mathematics

Nikolas:
What is the value of sin0.52 to 3 decimal places?
This sounds easy but I must be doing something wrong... I tried arcsin(0.52) which gave…
 updated one year ago
 3 replies
 1 Medal
Mathematics

Nikolas:
Bag A contains 1 red and 2 white marbles, and Bag B contains 1 white and 2 red marbles. A marble is randomly chosen from Bag A and placed in…
 updated one year ago
 12 replies
 1 Medal
Mathematics

Nikolas:
Hello, some probability/combinations questions here, hopefully not too difficult but it seems I'm missing something important.
1. Suppose…
 updated one year ago
 17 replies
 1 Medal
Mathematics

Nikolas:
In a reaction between HCl(aq) and Mg (s), does doubling the concentration of HCL double the reaction rate? By intuition I wouldn't think so,…
 updated one year ago
 2 replies
 1 Medal
Mathematics

Nikolas:
Hey folks, a few more combinatorics questions:
1. From a deck of 52 playing cards, how many different 4card hands can be formed with at …
 updated one year ago
 17 replies
 2 Medals
Mathematics

Nikolas:
Hi folks, two quick combinatorics questions here I can't figure out:
1.Assume that a car licence plate can consist of up to 6 characters.…
 updated one year ago
 4 replies
 1 Medal
Mathematics

Nikolas:
Consider the following equilibrium:  H2(g) + CO2(g) <> CO(g) + H2O(g), Keq=0.12  Initially, 1.0mol of CO and 1.0mol H2O are placed in a 2…
 updated one year ago
 3 replies
 1 Medal
Mathematics