It's a bit faster if you keep in mind that \frac{am^2T^4}{bd^2} can be split into \frac{a}{b}x\frac{m^2T^4}{d^2}
Then you just have to divide C by \frac{m^2T^4}{d^2} to get the answer.
Since you are solving for a fraction and not a single variable you never need to isolate a or b on one...
1) I'm not sure what table you're using but it should be one like this http://www.math.uh.edu/~bekki/CUIN%206342/zscoretable.pdf I suspect you're either using the wrong table or reading it wrong.
What the chart shows is the z-score on the left (up to first decimal) and top (second decimal)...
Try writing down the equations and putting them in the form y=f(x) taking a and b as 1 for simplicity.
1) You're right, it is a point in that it is a circle with radius 0. But it also has roots containing i so I'm not sure what to actually call it...
x2+y2=0
y2=0-x2
y=sqrt(-x2)
The...
It seems redundant to use the product and chain rules together. For an equation like this one it is much simpler to just use the general power rule for derivatives:
\frac{d}{dx}xr=rxr-1
In general the chain and product rules are only used when there are distinct functions f(x) and g(x)...
Oh I think I understand what's going on here. I think SELFMADE meant that "the book's answer 'omits' -6pi rather than 'emits'." Thus giving y'=3x^2-6x as the answer in the book, which is correct if I'm not mistaken.
Okay, that makes sense. The second part of the question is "suppose now that b1=(1,1) and b2=(1,2) (read as columns). Find the matrix of T relative to the standard basis of R2."
Would the answer for this be the same [[2,0][1,1]] as before because its the same transformation or does defining B...
Homework Statement
Let B={b1,b2} be a basis for R2 and let T be the linear transformation R2 to R2 such that T(b1)=2b1+b2 and T(b2)=b2. Find the matrix of T relative to the basis B.
The Attempt at a Solution
I know that the matrix I'm looking for needs to be 2x2 and that the standard matrix...
Homework Statement
The interference pattern in this image:
http://session.masteringphysics.com/problemAsset/1074248/3/22.P45.jpg
is seen on a screen 1.0m behind an 950 lines/mm diffraction grating.
What is the wavelength of the light? (expressed in nanometers to 2 sig figs)
Homework...
The question is "give an example of a square matrix A such that A^2 is diagonalizable but A is not."
I know that if A^2 is diagonalizable, A^2 = P(D^2)P^-1. And if A is not diagonalizable, there is no invertible matrix P and diagonal matrix D such that A=PDP^-1.
However I'm not sure how...