Fluid Flow and the Continuity Equation. Fluids, by definition can flow, but are essentially incompressible. This provides some very useful information about how fluids behave when they flow through a pipe or a hose
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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.
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I explain how the Pythagorean Theorem allows you to find the length of an unknown side of a right triangle. Examples start at 3:01 6:05 9:14 11:34 Distance Formula & Pythagorean Theorem 3 Examples https://www.youtube.com/watch?v=8NpbtZLhs74 Here is a link to more Pythagorean theorem examples that require more complex algebra work. https://www.youtube.com/watch?v=r5TWWJTJiP8 Check out http://www.ProfRobBob.com, there…