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I was born to answer lhfs.


23h
comment You drive in a straight line at 24.0m/s for 10.0 miles, then at 34.0m/s for another 10.0 miles. Calculate the avergae speed.(İt is less than 29.0m/s)
The total distance is 20 miles. Calculate the total time from the information you are given. Divide them.
Aug
31
comment Find the sum, if exists $\sum\limits_{n=1}^{\infty} \frac{(2n)!}{2^{2n}(n!)^2(n+1)}$
I'd just stick to Shubham's method.
Aug
2
comment What are some good questions for this trick, if $\frac{a}{b}=\frac{c}{d}=\frac{e}{f}=\dots=\alpha$ then $\alpha=\frac{a+c+e+…}{b+d+f+…}$?
Do you happen to have a copy of Higher Algebra by Hall and Knight? It contains quite a few of these in the first chapter.
Jun
26
comment Trigonometry / Finding the exact value
Do you understand that that the cosine function obtains the same value every $2\pi$?
Jun
5
comment How do you solve this using only given values, logarithm rules and no calculator?
You can introduce $\log(2)$ easily. $\log(4) = 2\log(2)= 0.6021 $.
May
22
comment Inequality involving conjugate numerator/denominator pairs
Are you there? Chat is up now.
May
22
comment Inequality involving conjugate numerator/denominator pairs
I would explain the full process to you, but the chat is offline. You can cancel the $x^3$ as a start.
May
20
comment Inequality involving conjugate numerator/denominator pairs
Yes, that's just the wavy-curve method. It's just that you put alternate + and - between the intervals.
May
20
comment Inequality involving conjugate numerator/denominator pairs
Don't worry. Do you know how to solve $(x + 2)(x + 4)(x + 7) < 0$ otherwise, without expanding it into a polynomial?
May
20
comment Inequality involving conjugate numerator/denominator pairs
$(x+2)(x+4)(x+7) < 0$ is another way to say that something is negative. Have you ever used the wavy-curve method?
May
20
comment Inequality involving conjugate numerator/denominator pairs
Corrected it. By the way, you should use the second method.
May
18
comment Evaluate the limit with Taylor series
Scroll down. chat.stackexchange.com/transcript/13574/2014/4/7
May
18
comment Evaluate the limit with Taylor series
Rob... ${}{}{}$
May
17
comment Absolutet Value Inequality with cases number line
Done! Also included the number line.
May
17
comment Absolutet Value Inequality with cases number line
A number line wouldn't be much of a solution. It can only be used to represent numbers. Depending on different contexts, it's used in different ways. Here, the question might be asking you to use a number line for representing the solution of this inequality.
May
17
comment Absolutet Value Inequality with cases number line
A number? I'm not sure if I perfectly understand your query. Do you mean a number line?
May
17
comment what is the solution for this equation : $2^x-6(2)^{-x}=6$
If $t$ is negative, then $2^x$ will be negative for some real $x$, which is not possible.
Apr
17
comment Trigonometric substitution
Oh, x^2/2 is the angle. OK.
Apr
17
comment Trigonometric substitution
did you mean $\frac{\sin^2(x)}2 = \frac{1}{2}(1 - \cos^2(x))$
Apr
10
comment Proof of a claim on a continuous function in [0,1]
Brian... ${}{}{}$