Recent content by Miguel Guerrero

  1. M

    How can the amount of salt in a tank be maintained while adding more solution?

    1. The problem statement, all variables and given/known d Let's say there's a tank filled with a solution to its maximum volume V. Initially, the solution in V is water mixed with some amount of salt S. The objective is to add more of a solution also consisting of water and salt such that the...
  2. M

    Linear Algebra: 2x2 matrix raised to the power of n

    I was able to solve the problem guys, thanks for your help
  3. M

    Linear Algebra: 2x2 matrix raised to the power of n

    So, I redid my calculations for the eigenvalues and after taking out the factor of 4 i found -1 and 1, do i need to multiply theses values by the factor of 4 that I took out? There is also a hint that says my answer will be a formula that involves n
  4. M

    Linear Algebra: 2x2 matrix raised to the power of n

    Homework Statement If n is a positive integer, then 2x2 matrix [-32,252] [-4,32] raised to the power of n is... Homework Equations I know that first I should diagonalize the given matrix, something I also seem to have a hard time with. The Attempt at a Solution I determined the eigenvalues...
  5. M

    Linear Algebra: Matrix Transformation

    Homework Statement Find the matrix that represents a rotation counterclockwise around the origin by 75 degrees followed by a reflection about the x-axis Homework Equations I know that for A rotated counter clockwise you use the 2x2 matirx [cos(theta), -sin(theta)] [sin(theta, cos(theta)] and...
  6. M

    Force required to pull an object with 2 different methods

    So wouldn't I first need the force applied to find the force of normal and friction forces?
  7. M

    Force required to pull an object with 2 different methods

    But wouldn't that mean you'd need the force applied to begin with in order to get the force of friction since you need the normal force?
  8. M

    Force required to pull an object with 2 different methods

    Ok, do I also have to subtract the y component of the force applied rather than just setting the normal force equal to the gravitational force?
  9. M

    Force required to pull an object with 2 different methods

    Ok, so I was told that my error was that I set the normal force in the second method equal to the y-component of gravity, relative to the table. So, this is as far as I get
  10. M

    Force required to pull an object with 2 different methods

    2 I figured the normal force would be equal to the y-component of gravity, yes.
  11. M

    Force required to pull an object with 2 different methods

    I believe I am trying to solve for the amount of force necessary to move the sled in each situation.
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