Questions Asked

math>philosophy:
1  2 + 3
I thought PEMDAS says addition first then subtraction so the answer would be 1  5 = 4 but the calculator says the answer is 2…
 updated 10 months ago
 1 reply
 1 Medal

math>philosophy:
How do I expand this binomial?
\[(x^2 + y^2)^{\frac{1}{2}} = x(1 + \frac{y^2}{x^2})^{\frac{1}{2}} = x(1 + \frac{y^2}{2x^2} + \frac{y^4}{x^4…
 updated 11 months ago
 4 replies
 No Medals Yet

math>philosophy:
\[\lim_{x \rightarrow \infty} \frac{(1)^x}{2\sqrt{x}}\]
The numerator does not exist so I thought the entire limit wouldn't exist but the l…
 updated one year ago
 6 replies
 2 Medals

math>philosophy:
For what value of 'a' is the following equation true?
\[\lim_{x \rightarrow \infty} (\frac{x + a}{x  a})^{x} = e\]
 updated one year ago
 2 replies
 1 Medal

math>philosophy:
For what value of 'a' is the following equation true?
\[\lim_{x \rightarrow \infty} (\frac{x + a}{x  a})^{x} = e\]
 updated one year ago
 No Medals Yet

math>philosophy:
How do I reference an {equation} with the same equation number later in the document?
I have:
…
 updated one year ago
 4 replies
 1 Medal

math>philosophy:
Find the values of m for y = mx that enclose a region with y = x / (x^2 + 1) and find the area of this bounded region.
So I set the two f…
 updated one year ago
 12 replies
 2 Medals

math>philosophy:
Identify the pattern for a series and the general formula (sigma summation):
Given:
…
 updated one year ago
 4 replies
 No Medals Yet

math>philosophy:
How do I write this in summation notation?
\[(\sin x) (\cos x)^{n  1} + (\sin x) (\cos x)^{\frac{n  1}{2}} + (\sin x) (\cos x)^{\frac{\fr…
 updated one year ago
 15 replies
 No Medals Yet

math>philosophy:
How do I show a series is convergent and what it converges to?
The series is \[1 + \frac{x^n}{n!} ...\]
…
 updated one year ago
 44 replies
 No Medals Yet

math>philosophy:
Find the side labeled 'R'
L = 6.10 meters, theta = 36.9 degrees, and phi = 53.1 degrees.
 updated one year ago
 5 replies
 No Medals Yet

math>philosophy:
Use the first part of the fundamental theorem of calculus to find \[f(x) = \int\limits_{2}^{\frac{1}{x}} \sin^4(z) dz \]
but the upper limi…
 updated one year ago
 No Medals Yet

math>philosophy:
show that R / Z is homeomorphic to the wedge sum of countably infinitely many circles
 updated one year ago
 1 reply
 No Medals Yet

math>philosophy:
factorize x^5  x + 1 = 0
i'm not sure how to factor beyond the 3rd/4th degree. how do i do this one?
 updated one year ago
 13 replies
 2 Medals

math>philosophy:
Solve the inequality for x:
\[\sqrt[4]{2x + 1}  0.1 < \frac{1}{2}x + 1 < \sqrt[4]{2x + 1} + 0.1\]
…
 updated one year ago
 No Medals Yet

math>philosophy:
Prove that the range of \[1 + \sin ^{2} x\] is between 1 and 2, inclusive.
How do I show this?
 updated one year ago
 11 replies
 3 Medals

math>philosophy:
Show that \[\frac{\sqrt{x^2 + x}}{x} = \sqrt{\frac{1}{x} + 1}\]
I'm not sure how to go about the algebraic manipulation to turn it into tha…
 updated one year ago
 13 replies
 1 Medal

math>philosophy:
\[\lim_{x \rightarrow \infty} x \sin \frac{1}{x}\]
I need to show all my work, but I don't know how to show it. I know sin(1/x) is always b…
 updated one year ago
 4 replies
 1 Medal

math>philosophy:
\[\lim_{x \rightarrow 0} \frac{1  \cos 2x}{x^2}\]
So I get, after multiplying by comjugate:
\[\frac{1  (\cos 2x)^2}{x^2(1 + \cos 2x)}\]
…
 updated one year ago
 1 reply
 No Medals Yet

math>philosophy:
\[\lim_{x \rightarrow 0} \frac{\sin(\tan(x))}{\sin(x)}\]
I see no way I can usefully manipulate this algebraically...cannot use l'Hopital's…
 updated one year ago
 12 replies
 2 Medals

math>philosophy:
\[\lim_{x \rightarrow 1} \frac{\sin(x^2  1)}{x  1}\]
I factored the top into \[\lim_{x \rightarrow 1} \frac{\sin((x  1)(x + 1))}{x  1}\…
 updated one year ago
 24 replies
 3 Medals

math>philosophy:
Calculate the standard deviation of the 4 numbers:
Trial 1: 1.05 ± 0.05 m.
Trial 2: 2.0 m.
…
 updated one year ago
 No Medals Yet

math>philosophy:
\[\lim_{x \rightarrow 0} x \cdot \sin \frac{1}{x}\]
I need to show the work (without looking at a graph) but when I plug in numbers for sin…
 updated one year ago
 5 replies
 2 Medals

math>philosophy:
a
 updated one year ago
 No Medals Yet

math>philosophy:
a
 updated one year ago
 2 replies
 1 Medal

math>philosophy:
a
 updated one year ago
 No Medals Yet