X 3 sqrt x 2 5 dx
[DOC File]Back to y^2 = x^3 + 3x^2 = (x+3)x^2:
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V = x2 (600/x – x/2) = 600x – x3/2. 0 = dV/dx = 600 – (3/2)x2. x = 20, y = 20. The optimal solution has x = y. Seems reasonable that cubical boxes are “better” at enclosing volume than tall skinny boxes. Solution to problem 2: Let the length and width of the box be x, and the height be y. Maximize V = x2y subject to x2 + 4xy = 1200.
[DOC File]LCAO Method: H2+ Molecule - OoCities
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by Reinaldo Baretti Machín. www.geocities.com/serienumerica3. www.geocities.com/serienumerica2. www.geocities.com/serienumerica. reibaretti2004@yahoo.com
[DOCX File]Iowa State University
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3) A 13-ft ladder is leaning against a house when its base starts to slide awa. By the time the base is 12 ft from the house the base is moving at the rate of 5 ft/sec.
[DOCX File]Iowa State University
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Find a linearization at a suitably chosen integer near x 0 at which the given function and its derivative are easy to evaluate. Then calculate x 0 .
[DOC File]1
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xi 2 1.8 6.049647464 xi 1 1.9 6.685894442 xi 2 7.389056099 xi+1 2.1 8.166169913 xi+2 2.2 9.025013499 Both the first and second derivatives have the same value, The results are summarized as
[DOC File]EGR 511 - California State Polytechnic University, Pomona
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The condition for “hits” is then when x ( r/2, y must be less than (r/2)(31/2; and when r/2 < x ( r, then y must be less than (r ( x)tan (/3 = (r ( x)(31/2. We can then divide the number of hits by the total number of trials and multiply by the area of the circle, (r2. % Set 6, problem 3. trials=10000; r = 5; r2 = r/2; s3=sqrt(3); h = r2 ...
[DOC File]Measure: dm= x3 dx
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Measure = -x dx. Interval: [1,3] f(x)= x/Sqrt[5+2 x+x^2] ∫[1,3]f(x) dm = 0.156019. M G 3 0.156055 5 0.156018 7 0.156019 After increasing M to 7, we got a 6 place agreement with Mathematica. Measure = -x dx. Interval: [0,7] f(x)= 6xx3Cos[x] ∫[0,7]f(x) dm = 55193.4. M G 3 0.156055 5 0.156018 7 6785.8 13 55258.9 15 55193.5 17 55193.5 19 55047 ...
[DOC File]EGR 511 - California State Polytechnic University, Pomona
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The production of 1 metric ton of the product involves 1 ton of X and 2.5 tons of Y and produces 1 ton of a liquid waste, W. The engineers have come up with three alternative ways to handle the waste:
[DOCX File]numerical integration; more on random numbers; Game of Life
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numerical integration; more on random numbers; Game of Life. Ben Bolker. 19 November 2019. numerical integration. In first year calculus the definite integral of a function f ( x ) over the interval [ a , b ] is defined to be the limit of a sequence of Riemann sums: ∫ a b f ( x ) d x = lim n → ∞ ∑ i = 0 n − 1 f ( x i ) Δ x
[DOC File]4068 Fortran Programming Coursework
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Construct the lattice points (2-dimensional: x, t coordinates) such that they obey the initial condition [3] and the boundary conditions [4]. By first finding the values of Q(x,t) in the 1st row (t = 0) and then the corresponding A(x,t), the calculation proceeds to obtain the values of Q(x,t) in the 2nd row (t = Δt) and thus A(x,t) and so on.
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