Recent content by Deneb Cyg

  1. Deneb Cyg

    Simple rearranging of an equation

    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...
  2. Deneb Cyg

    Statistics: Standard Normal Distribution

    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)...
  3. Deneb Cyg

    What does the equation represent?

    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...
  4. Deneb Cyg

    Is the Derivative of 5*sqrt[x] Correct Without Using the Chain Rule?

    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)...
  5. Deneb Cyg

    Finding the Derivative of y=x^3-3(x^2+pi^2): What's Wrong?

    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.
  6. Deneb Cyg

    Linear transformations and subspaces

    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...
  7. Deneb Cyg

    Linear transformations and subspaces

    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...
  8. Deneb Cyg

    Diffraction gratings and intensity

    Thank you. That worked. I can't believe I missed that.
  9. Deneb Cyg

    Diffraction gratings and intensity

    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...
  10. Deneb Cyg

    Square Matrix A that is not Diagonalizable but A^2 is Diagonalizable

    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...
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