Analytic geometry, calculus review, linear algebra, differential equations, probability distributions, hypothesis tests and numerical methods.
About this set
40 basic cards for FE Exam Engineering Fundamentals. Set 4 of 4 in FE Exam. It opens with "Distance formula between points (x1, y1) and (x2, y2)" and "Midpoint of a line segment from (x1, y1) to (x2, y2)". More Professional Certifications decks are listed below.
40 cards · basic cards · AI-written, checked twice. Edit anything.
- Distance formula between points (x1, y1) and (x2, y2)
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sqrt((x2 - x1)^2 + (y2 - y1)^2)- Midpoint of a line segment from (x1, y1) to (x2, y2)
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((x1 + x2)/2, (y1 + y2)/2)- Standard form equation of a circle with center (h, k) and radius r
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(x - h)^2 + (y - k)^2 = r^2- Relationship between slopes of two perpendicular lines
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m1 * m2 = -1, or m2 = -1/m1- Definition of the derivative of f(x) at x = a
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lim(h->0) [f(a + h) - f(a)] / h- Power rule: derivative of x^n
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n * x^(n-1)- Chain rule: derivative of f(g(x))
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f'(g(x)) * g'(x), or dy/dx = (dy/du)(du/dx)- Product rule: derivative of f(x)*g(x)
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f'(x)*g(x) + f(x)*g'(x)- Quotient rule: derivative of f(x)/g(x)
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[f'(x)*g(x) - f(x)*g'(x)] / [g(x)]^2- Fundamental theorem of calculus, part 1: relationship between derivative and integral
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If F'(x) = f(x), then d/dx[integral from a to x of f(t) dt] = f(x)- Integration by parts formula
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integral of u dv = uv - integral of v du- L'Hopital's rule applies to limits of form
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0/0 or infinity/infinity- Second derivative test: if f'(c) = 0, what does f''(c) tell you
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f''(c) < 0 means local maximum, f''(c) > 0 means local minimum- Determinant of 2x2 matrix [[a, b], [c, d]]
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ad - bc- A square matrix has an inverse when its determinant is
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Non-zero (det ≠ 0)
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