Tag: maths
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Evaluation of a double integral ! Howzzat !
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The hydrostatic forces on an aquarium !
An aquarium 2 m long, 1 m wide, and 1 m deep is full of water. Find (a) The hydrostatic pressure on the bottom of the aquarium, (b) The hydrostatic force on the bottom, and the hydrostatic force on one end of the aquarium.
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Learning Stoke’s Theorem by example !
Calculate CurlF and then use Stokes’ theorem to compute the flux of CurlF through the given surface as a line integral. F = y, x, x2 + y2 , the upper hemisphere; x2 + y2 + z2 = 1, z ≥ 0.
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The method of Lagrange Multiplier ! Optimize multivariate functions.
Yesterday I learned the beautiful method of Lagrange Multiplier, to find the minima or maxima of multivariate functions. eg If I ask you what’s the minimum value of a function, f(x,y) = xy, subject to the constraint 5x-y = 4, the answer would be -4/5. The method is this. Ensure that first-partials of function f(x,y)…
M Dash Foundation: C Cube Learning 