Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! ðŸ™‚ https://www.patreon.com/patrickjmt !! Using the Discriminant to Predict the Types of Solutions to a Quadratic Equation – Example 3

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Express (x-4)/(x-2)^2 into partial fractions. An example with repeated linear factors. If you like what you see, please subscribe to this channel! http://www.youtube.com/subscription_center?add_user=numberskill For more videos, please visit http://www.numberskill.com/board-casts-on-youtube/#Bookmark Like us on Facebook http://www.facebook.com/garyang.math Follow us on Google+ https://plus.google.com/117074002101017934426/posts

Multivariable Calculus: Consider the ellipse given as the intersection of the cylinder x^2 + y^2 =1 and the plane y = z + 1 in three-space. Using a parametrization, we find the maximum and minimum values of f(x,y,z) = xz on the ellipse. In Part 2, same problem with Lagrange Multipliers with two constraints.