Recent content by Schaus

  1. Schaus

    When does the linear system have no, unique, or infinite solutions for parameter a?

    1) No solution 2) Infinitely many solutions 3) One unique solution I got the a=15 by making 2a-16 = (4/3a-6)
  2. Schaus

    When does the linear system have no, unique, or infinite solutions for parameter a?

    2a-16 = ((4/3)a-6) a=15 No solution = Never Unique solution ---- a≠15 Infinitely many solutions--- a=15?
  3. Schaus

    When does the linear system have no, unique, or infinite solutions for parameter a?

    So I should have multiplied by -(a-6)? -(a-6)R2+R3 1 0 -2 ----------- 5/3 0 1 -2 ------------ 4/3 0 0 (2a-16) -------- ((4/3)a-6)
  4. Schaus

    When does the linear system have no, unique, or infinite solutions for parameter a?

    So I take (a+6)R2-R3? 1 0 -2 ----------- 5/3 0 1 -2 ------------ 4/3 0 0 (-2a-16) -------- ((4/3)a+10) Sorry for the slow reply, I've been very busy with school.
  5. Schaus

    When does the linear system have no, unique, or infinite solutions for parameter a?

    Homework Statement Determine the values of a for which the following system of linear equations has no solutions, a unique solution, or infinitely many solutions. You can select 'always', 'never', 'a = ', or 'a ≠', then specify a value or comma-separated list of values. x1−2x2+2x3 = −1...
  6. Schaus

    Solving dy/dx = (1+y⁶)/(xy⁵) with y(1) = 1

    The answer in my course is 2x-1 but it could be wrong, it is easily the worst course I've done. Thank you for all your help though.
  7. Schaus

    Solving dy/dx = (1+y⁶)/(xy⁵) with y(1) = 1

    Now I got my answer I'm just curious where the highlighted 2 came from.
  8. Schaus

    Solving dy/dx = (1+y⁶)/(xy⁵) with y(1) = 1

    I'm still not understanding how to get the answer. If ##\frac {1}{6} \ln(2)-0 = C## then C ≈ 0.1155... or at least that is what my calculator says.
  9. Schaus

    Solving dy/dx = (1+y⁶)/(xy⁵) with y(1) = 1

    Sorry, I'm still a little confused. After integrating should it look like this then? ##\frac {1}{6} \int \frac {1}{u}## ##= \frac {1}{6} \ln |1+y^6| = \ln|x| + C##
  10. Schaus

    Solving dy/dx = (1+y⁶)/(xy⁵) with y(1) = 1

    Oh I see. Would the integral look like this then ##\ln |6(1+y^6)|##? Or do I put the ##\frac{1}{6}## on the outside of the natural log?
  11. Schaus

    Solving dy/dx = (1+y⁶)/(xy⁵) with y(1) = 1

    Yes I definitely messed up on the ##\ln |1| = 0## but I don't understand where this ##\frac {1}{6}## is coming from.
  12. Schaus

    Solving dy/dx = (1+y⁶)/(xy⁵) with y(1) = 1

    Homework Statement Solve for y: ##\frac {dy}{dx} = \frac {1+y^6}{xy^5}## , where y(1) = 1. Answer ## y = \sqrt[6] {2x-1}## Homework EquationsThe Attempt at a Solution ##\frac {dy}{dx} = \frac {1+y^6}{xy^5}## ##\frac{dy (y^5)}{1+y^6} = dx \frac {1}{x}## u= 1+y6 ##\frac {du}{y^5}=dx## ##\int...
  13. Schaus

    How Fast is the Radius of a Circle Increasing When a Stone is Dropped in Water?

    That's weird. When I do 3/2pi it gives me 4.71 but if I do 3/6.28 I get my answer. Thanks for the help, I wish I had thought of trying that earlier!
  14. Schaus

    How Fast is the Radius of a Circle Increasing When a Stone is Dropped in Water?

    Homework Statement A stone is dropped into some water and a circle of radius r is formed and slowly expands. The perimeter of the circle is increasing at 3 m/s. At the moment the radius is exactly 2m, what rate is the radius of the circle increasing? Answer ## \frac {dr} {dt} = 0.48 m/s##...
  15. Schaus

    Find Point c that satisfies the Mean Value Theorem

    I swear I put that in my calculator a few times but this last time it worked... Thanks a lot anyways :)
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