// Numbas version: finer_feedback_settings {"name": "Formula - 4 variables", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Formula - 4 variables", "tags": [], "metadata": {"description": "

evaluate a function (4a)/(pi*b^2cd) given random values for a,b,c,d.

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If \\(\\displaystyle{\\eta=\\frac{4Q_P}{\\pi d^2Ln}}\\)evaluate \\(\\eta\\) when \\(Q_P=\\var{Q_P}\\), \\(d=\\var{d}\\), \\(L=\\var{L}\\) and \\(n=\\var{n}\\).

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$\\begin{align}\\eta &= \\dfrac{4Q_P}{\\pi d^2Ln}\\\\ &= \\dfrac{4\\times\\var{Q_P}}{\\pi\\times\\var{d}^2\\times\\var{L}\\times\\var{n}}\\\\&=\\dfrac{4\\times\\var{Q_P}}{\\pi\\times\\var{d^2}\\times\\var{L}\\times\\var{n}}\\\\&=\\dfrac{var{4*Q_P}}{\\var{pi*d*d*L*n}}\\\\&\\approx\\var{precround(4*Q_P/(pi*d*d*L*n),4)}\\end{align}$

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