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  1. ElectronicTeaCup

    Studying Learning mathematics in an interdisciplinary program

    Hello everyone! I finished a masters in integrative neuroscience about a year back, which was supposed to have a very strong mathematics tilt. Despite this, and the two semesters of mathematics, I feel that it did not help me out much. I ended up doing my masters thesis in a lab of physicists...
  2. ElectronicTeaCup

    Simplify this term—best approach?

    I'm not sure how to simplify this without spending a lot of time on it. Is there a pattern that I need to weed out?
  3. ElectronicTeaCup

    I know ##tan 2\theta## but what is ##sin \theta##

    So I get that: $$ \sin 2 \theta=-\frac{4}{5} $$ $$ \cos 2 \theta=-\frac{3}{5} $$ But what is the next step?
  4. ElectronicTeaCup

    Tan ##2 \theta=4 /(1-1)##. This means ##2 \theta=90^{\circ}## Why?

    One of my solutions had this in one part. Why is this the case?
  5. ElectronicTeaCup

    Intersection of a tangent of a hyperbola with asymptotes

    Summary:: Question: Show that the segment of a tangent to a hyperbola which lies between the asymptotes is bisected at the point of tangency. From what I understand of the solution, I should be getting two values of x for the intersection that should be equivalent but with different signs...
  6. ElectronicTeaCup

    I Product of distances from foci to any tangent of an ellipse

    As part of the final stage of a problem, there is some algebraic manipulation to be done (from the solution manual): But I'm getting lost somewhere: Also a bit of general advice needed: This is part of a self-study Calculus course, and I often have difficulty with bigger algebraic...
  7. ElectronicTeaCup

    Work done raising a mass

    I do not understand how to get ##W = 32r^2##
  8. ElectronicTeaCup

    Tension T in a parabolic wire at any point

    I am unsure how to go about this. I tried following the suggestion blindly and end up with with some cumbersome terms that are not the answer. From what I understand the derivative at each point would equal to T? Answer: I just can seem to get to this. I think I'm there but can't get it in...