Homework Statement
Houdini is in a giant flask and he stands on a block where his feet are shackled and you need to calculate some vital information to help him out.
Cross section of flask = r(h)=10/(sqrt(h+1))
water is being pumped into the flask at 22pi
Takes Houdini 10 mins to escape
Ignore...
Homework Statement
Evaluate the telescoping sum.
a) Sigma i=1 to n [i^4 - (i - 1)^4]
Homework Equations
sigma i=1 to n [f(1) - f(i+1)]
The Attempt at a Solution
so i plug in for the eqns. and get 1^4 - n^4
the correct answer should be n^4 but don't know how to get that.
Ok wow I can't believe I did that.
So I FOIL it out and get this
x^2 = r^2 + 2ax - a^2 - y^2 + 2by - b^2
x= r-a-b+sqrt(2ax)+sqrt(2by)
Does this look better?
Homework Statement
Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r.
Homework Equations
(x-a)^2 + (y-b)^2 = r^2
max area = 2x(2y)
= 4xy
The Attempt at a Solution
(x-a)^2 + (y-b)^2 = r^2
= y=r-(x-a)+b
I then plug...
ok so \ln{\frac {[A]_{0}}{[A]_{t}}} = kt is what I'm going to use to calculate k
and then i use t_{\frac {1}{2}} = \frac {\ln{2}}{k} to calculate for t_{\frac {1}{2}}
[SOLVED] Half Life Help
Homework Statement
The activity of a radioisotope is 3000 counts per minute at one time and 2736 counts per minute 48 hours later. What is the half-life of th radioisotope?
This is where I'm completely lost.
[SOLVED] Solving for molar mass
Homework Statement
What is the molar mass of an ideal gas if a 0.622g sample of this gas occupies a volume of 300mL at 35*C and 789mm Hg?
Homework Equations
PV = nRT
The Attempt at a Solution
So n= no. moles present
So I assumed n=.622/x
so : x=...
Ok cool I got that far then when I was just guessing. So I basically went something like this:
since in the equation their relationship is 4FeCl2 to 3O2, I just took the 2O2 x 1.5 so it was equal to the 3.0 mol given. So that put 4FeCl2 to 4.5 mol. But I guess that's all I solved for the...