Homework Statement
So we are given an ice cube of unknown mass, and the goal is to determine the mass after putting it in the calorimeter.
We know the initial mass of the warm water. Is this the only way to solve the ice mass?
I looked it up and the purple font is my values. Please the...
Hi Borek,
Thanks for the response.
With 10 carbon and 5 O2, you can only make 5 CO2 and 5 carbon atoms left alone.
With 5 carbon atoms and 10 O2, you can make 5 CO2 as well.
So" the number of O2 molecules used should equal to the number of carbon atoms used; the total energy and mass of the...
Homework Statement
If we initially lighted a candle, and then put a jar over it, what can we say about the fire? What kind of observations can we make?
How can you verify your claim?
The Attempt at a Solution
Well the observations are quite obvious. The flame is put off soon or later.
I...
Oh right. a(a - 3) gives 0 and 3 respectively.
Thank you.
PS: Yeah I was referring to a = 3 cannot produce 2 distinct solutions, but yes certainly i should be careful with the quadratic.
Hi, thank you for the inputs.
Well if I started out with limit as x approaches 2 x^2 + a^2 without knowing what a is, then I should end up with (2)^+a^2.
And equate that with the second limit I would end up with a^2 = 3a which cancels 1 a on the left side, and 3 = a.
I am sure if a = 0...
Homework Statement
Another similar question. I will appreciate any input!
\[f(x) = \left\{\begin{matrix}
x^{2}+a^{2} & x \leq 2\\ 2x+3a
& x > 2
\end{matrix}\right.\]
find a such f is continuous at x = 2
Homework Equations
Well... the definition of continuity
The Attempt...
Homework Statement
use the definition of continuity to find the values of a and c for which the function F is continuous at x = 1
\[f(x) = \left\{\begin{matrix}
2x-1 & x < 1\\ a+c
& x = 1 \\ 3ax^2
& x > 1
\end{matrix}\right.\]
Homework Equations
The Attempt at a Solution
I know the...
LOL
OKay, so it is 1-cos(1) for [0, 1)
Just really need to confirm that. Otherwise, even if I have perfect codes, with no REAL solution i still can't test it.
My other classmates are giving me weird numbers.
Thanks
How did you get that number? I thought plain riemann sum (in this case, the right hand rule)
Here is the short version (with no array), tested [0,1)
#include <iostream>
#include <cmath>
using namespace std;
double integrand(double);
int main()
{
const int SIZE = 10;
const double WIDTH...
Homework Statement
Graph f(x) = sqrt(x^2 - 2x), and find an interval on which it is one-to-one. Find the inverse of the function restricted to that interval.Homework EquationsThe Attempt at a Solution
What I can't do is really finding the inverse function. It seems very simple, but somehow I...