geerky42
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0 
Questions Asked

geerky42:
Group Title
For what value of p does \(\large\displaystyle\sum_{n=1}^{\infty} \dfrac{(1)^n}{n^p}\) converge?
 updated one year ago
 10 replies
 2 Medals
Mathematics

geerky42:
Group Title
How can I find the value of \(\displaystyle \sum_{n=1}^{\infty} \dfrac{(1)^n}{n}\) ?
 updated one year ago
 1 reply
 No Medals Yet
Mathematics

geerky42:
Group Title
\(\Large \sqrt{3}\sqrt{2} \neq \sqrt{6}\)
Why?
 updated one year ago
 3 replies
 No Medals Yet
Mathematics

geerky42:
Group Title
Challenge: Given that \(\Large a^x + a^y = a^z\), where \(\Large a \neq 0\)
Find z in term of x and y.
 updated one year ago
 28 replies
 6 Medals
Mathematics

geerky42:
Group Title
\[\Huge \int \sqrt{4x^2+1} ~ dx\]
 updated one year ago
 5 replies
 1 Medal
Mathematics

geerky42:
Group Title
A particle moves in the xyplane so that its velocity vector at time t is \(v(t)=\langle t^2, \sin(\pi t)\rangle\) and the particle's positi…
 updated one year ago
 1 reply
 1 Medal
Mathematics

geerky42:
Group Title
In a cookie jar, there are 9 chocolate chip cookies and 13 sugar cookies. A hungry boy takes out the cookies one at a time and eat them. Wha…
 updated one year ago
 21 replies
 1 Medal
Mathematics

geerky42:
Group Title
Determine if the series converge or diverge.
\[\Huge\sum_{n=1}^{\infty} \dfrac{1}{2+\sqrt{n}}\]
 updated one year ago
 15 replies
 2 Medals
Mathematics

geerky42:
Group Title
Solve the equation:\[(x+1)(x+2)(x+3)(x+4)(x+5)=(x5)(x+6)(x+7)(x+8)(x+9)\]
 updated one year ago
 16 replies
 No Medals Yet
Mathematics

geerky42:
Group Title
A group of 5 people are going to meet weekly at the library for 4 weeks. Each week, two people are selected at random to speak. Each person …
 updated one year ago
 2 replies
 1 Medal
Mathematics

geerky42:
Group Title
Suppose there are 10 coins laid out in front of you. All of the coins are fair except one, which flips to heads every time. You draw one coi…
 updated one year ago
 20 replies
 1 Medal
Mathematics

geerky42:
Group Title
Suppose there are 10 coins laid out in front of you. All of the coins are fair except one, which flips to heads every time. You draw one coi…
 updated one year ago
 No Medals Yet
Mathematics

geerky42:
Group Title
ABC is an isosceles triangle where AB=AC and BC=60. D is a point on BC such that the perpendicular distance from D to AB and AC is 16 and 32…
 updated one year ago
 14 replies
 2 Medals
Mathematics

geerky42:
Group Title
Find the value of x:\[(x−1)(x−2)(x−3)\\+(x−2)(x−3)(x−4)\\+(x−3)(x−4)(x−5)\\+(x−4)(x−5)(x−6)=0\]
 updated one year ago
 7 replies
 1 Medal
Mathematics

geerky42:
Group Title
Kinematic Problem
 updated one year ago
 8 replies
 3 Medals
Mathematics

geerky42:
Group Title
How to eat chocolate infinitely
 updated one year ago
 1 reply
 1 Medal
Mathematics

geerky42:
Group Title
The large circle has radius 1. Find \(a_1  a_2\). (See attachment)
 updated one year ago
 12 replies
 3 Medals
Mathematics

geerky42:
Group Title
Practicing...
 updated one year ago
 No Medals Yet
Mathematics

geerky42:
Group Title
How many perfect squares divide the number 4!·5!·6! ?
 updated one year ago
 9 replies
 2 Medals
Mathematics

geerky42:
Group Title
We can determine whether a number, n, is prime or not by dividing it by every prime whose square is less than or equal to n.
Why does it w…
 updated one year ago
 6 replies
 2 Medals
Mathematics

geerky42:
Group Title
How many values of \(\theta\) satisfy \(2\cos(3\theta1) = 0\), where \(\pi \le \theta \le \pi\)?
 updated one year ago
 24 replies
 3 Medals
Mathematics

geerky42:
Group Title
Using the following array, determine the value of the mean of the 19th row.
 updated one year ago
 13 replies
 3 Medals
Mathematics

geerky42:
Group Title
Three sheets of paper are marked with an X and two sheets are marked with an O. The sheets of paper are arranged randomly in a row. What are…
 updated one year ago
 3 replies
 2 Medals
Mathematics

geerky42:
Group Title
\[\int_0^{100} \sqrt{1+(f'(x))^2}dx\]Where \(f(x) = 75\left( e^{\dfrac{x}{150}} + e^{\dfrac{x}{150}} \right)\)
 updated one year ago
 10 replies
 2 Medals
Mathematics

geerky42:
Group Title
If the odds of a certain baseball team winning a game is \(\dfrac{4}{9}\) and there are 156 games in the regular season, then how many games…
 updated one year ago
 5 replies
 2 Medals
Mathematics

geerky42:
Group Title
The sides of a right triangle form a primitive Pythagorean triple. If its semi perimeter is 120, find its area.
I got 2400, but the corre…
 updated one year ago
 No Medals Yet
Mathematics

geerky42:
Group Title
The sides of a right triangle form a primitive Pythagorean triple. If its semi perimeter is 120, find its area.
 updated one year ago
 5 replies
 2 Medals
Mathematics

geerky42:
Group Title
The sides of a right triangle form a primitive Pythagorean triple. If its semi perimeter is 120, find its area.
 updated one year ago
 No Medals Yet
Mathematics

geerky42:
Group Title
I discovered that \(\sqrt{\dfrac{3+\sqrt{5}}{8}} = \dfrac{1+\sqrt{5}}{4}\)
Can anyone prove me that this is true? I don't see how this is…
 updated one year ago
 1 reply
 No Medals Yet
Mathematics

geerky42:
Group Title
\[\Large \int \dfrac{dx}{\ln x}\]
 updated one year ago
 19 replies
 4 Medals
Mathematics
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