A decimal expansion is the division of a rational expression p/q.
To be an nth digit after the decimal point means that the rational expression, when divided will not have a finite number of decimal places.
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Homework Statement
Let an (read 'a sub n') be the nth digit after the decimal point in 2pi+2e. Evaluate
SUM (n=1 to inf) an(.1)^n
(here, again, an is meant to be 'a sub n')
Homework Equations
As far as I can see, this is a partial sum of a geometric series. To find the nth...
Homework Statement
Find the sum of the following series.
SUM (n=1 to inf) -3^(n-1)/(8^n)
Homework Equations
Possibly fit into ar^n format?
[b]3. The Attempt at a Solution [/b
I feel there is a way that this fits into a geometric form in which case could use a/(1-r) to find...
Homework Statement
I integrated dx/dt = x^2+(1/81)
Homework Equations
My result; 9(arctan(9x))= t+C needed to be solved for initial condition x(0)=-8
and fit into x(t) = format
The Attempt at a Solution
I cannot figure out why the computer is not accepting my solution:
arctan...
Homework Statement
Sorry about the title; I accidentally hit enter instead of 'Shift'. It should read Logistic Modeling -- help integrating/solving for P
If P(0)=2, find P(90).
Homework Equations
dP/dt=1/900P(9-P)
The Attempt at a Solution
my solution looks like...
Newton's Law of Cooling (diff eq. -- separation of variables)
Homework Statement
Fresh coffee sitting in a room cooling...you know the routine.
Anyhow T(0) = 90degreesCelcius.
Room temp=25degrees Celcius
find k.
Then he asks us to use Euler's method to estimate coffee temp after five...
The down and dirty on me.
I really love math and physics but I have to work hard at them to get them right. I typically fall victim to dumb mistakes (signs, adding when should be multiplying). Recently I have seen my A in Calc 2 go to a B and I am terribly close to C. It's probably due to...
Yeah, but SystemTheory ended by saying that Einstein postulated that the universe itself is curved...So maybe it's straigt line light that is accelerating.
My story can be summed up in a few sentences. After I earned my bachelors in 2001, I entered the military with the hopes of earning some morey more for graduate school. I decided to maintain aircraft and fell in love with the community/industry. Now, I am not so interested in getting a grad...
Here's what I know from basic tech school: Flaps = trailing dge and slats = leading edge. ?Flaps and slats aid in both take-off and landing. I'm just not sure how they do so. My guess is that during takeoff, the combo increases the wing surface area thus allowing lift at lower airspeeds...
Homework Statement
Solve the equation below for deltaX symbolically and simplify the answer as much as possible.
deltaY = (tan A)deltaX - g*deltaX^2/2V(initialx)^2
Homework Equations
quadratic equation.
The Attempt at a Solution
I can handle the algebra and simplification. My...
I'm assuming you mean somthing like an etch a sketch with a stylus instead of knobs where you could capture a page of notes at a time and store them in a memory for recall later.
If say, you had to refer back to to the notes during the coures of the class period, would it be difficult? What...