![Open Question: Use Linear Approximation to estimate [Delta]f = f(5.01) - f(5), for f(x) = x^3?](http://2.bp.blogspot.com/_NOvjNn0gnRI/SiKi-J7BuhI/AAAAAAAAMTc/HPbwq5ZWB2s/S220/522476webmaster.jpg)
Open Question: Use Linear Approximation to estimate [Delta]f = f(5.01) - f(5), for f(x) = x^3?
Open Question: Chain Rule Maths linear air resistance.?
a resistance to motion kv when the particle's speed is v. By using the chain rule and writing
z(double dot)= vv'(z), find an expression for H and deduce that m(V-gT) = kH.
How can you deduce that, with explanation please? I really struggle with the chain rule so any help would be appreciated.
Open Question: 3 major components needed to understand the relation between a graph, a linear equation, and a table of values?
heres the question word for word: describe the 3 major components necessary to help you understand the relationship between a graph, equation and a table of values.
Open Question: linear algebra/ matrices?
for what value of k in which the solution will be a line
Please show all your work
Open Question: does anyone know how to do this linear algebra ?
So start by finding the eigenvalues. If they're different, then A and B are not similar.
If they are the same, then find the eigenvectors and form a matrix with those eigenvectors as columns. Using the eigenvectors of A gives you a matrix that diagonalizes A. That is, let P1 be this matrix. Then
D = P1^(-1) A P1
where D is a diagonal matrix with the eigenvalues on the diagonal. Do the same thing with B. Since it has the same eigenvalues
D = P2^(-1) B P2, or B = P2 D P2^(-1)
So B = P2 P1^(-1) A P1 P2^(-1) and the matrix P you want is equal to P1 * P2^(-1).
Open Question: A~B , linear algebra help?
Show if A~B, then :
a) A^T ~ B^T
b) A^-1~B^-1
Open Question: can anyone help me with this linear algebra problem?
Let A=
[2 2 1]
[0 1 2]
[0 0 -1]
a) find an invertible matrix P such that P^-1AP=
[-1 0 0]
[0 2 0]
[0 0 1]
b) Find A^n for all n = 1
Open Question: Applied Linear ALgebra?
Open Question: how to express a polynomial as a linear function?
express h(x) as a linear product of two factors?
Sorry, I could not read the content fromt this page.
Open Question: Applied Linear Algebra Proof?
First,
(Q^T C Q)^T = Q^T C^T (Q^T)^T = Q^T C Q,
so Q^T C Q is symmetric.
Now,
det(Q^T C Q - xI)
= det(Q^T C Q - Q^T xI Q) . . . . [since Q^T Q = I]
= det(Q^T (C - xI) Q)
= det(Q^T) det(C - xI) det(Q)
= det(C - xI) det(Q^T) det(Q)
= det(C - xI) det(Q^T Q)
= det(C - xI) det(I) . . . . . . [since Q^T Q = I, again]
= det(C - xI)
Therefore the characteristic polynomials are the same, so in particular, the eigenvalues are the same. Therefore Q^TCQ is symmetric and every eigenvalue is positive real, so it is positive definite.
Open Question: Applications of first order linear ODEs. Calculus?
An office contains 1000 ft^3 of air initially free of carbon monoxide. Starting at time = 0, cigarette smoke containing 4% carbon monoxide is blown into the room at the rate of 0.5 ft^3/min. A ceiling fan keeps the air in the room well circulated and the air leaves the room at the same rate of 0.5ft^3/min. Find the time when the concentration of carbon monoxide reaches 0.01%.
I'm always having trouble setting up this equation
I know s = smoke;
so DS/dt = in - out
[4% * 0.5ft^3/min] - [0.01% * 0.5ft^3/min ] I know I'm missing some variables such as t, to find the time when concentration of smoke is 0.01%
My assumption is 4% of 1000ft^3 so that there is 9060ft^3 = air while 40ft^3 = smoke in.
0.01% of 1000 is 9090 = air and 10 = smoke.
Just need help setting up the question and understanding how to get it.
