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Creado por Hannah Williams
hace alrededor de 8 años
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| Pregunta | Respuesta |
| Quadratic formula | |
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Sinh2x (binary/octet-stream)
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Cosh (binary/octet-stream)
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Tanh (binary/octet-stream)
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Sinh2x (binary/octet-stream)
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Cosh2x (binary/octet-stream)
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Logaa (binary/octet-stream)
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Loga1 (binary/octet-stream)
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| Closed interval | |
| Open interval | |
| Infinite | |
| Equation of a straight line | |
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Length (binary/octet-stream)
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| General equation of a conic |
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Conic (binary/octet-stream)
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| Ellipse equation in standard form | |
| Ellipse equation in parametric form | |
| Hyperbola equation in standard form | |
| Hyperbola equation in parametric form | |
| Parabola in standard form | |
| Parabola in hyperbolic form | |
| Definition of the domain | What goes into the function, the x values |
| Definition of the codomain | What may possibly come out of the function |
| Definition of the range | What actually comes out of a function, the y values |
| Definition of a one-to-one function | Every element of the range corresponds to one element of the domain |
| Definition of an even function | Symmetrical about the y-axis |
| Definition of an odd function | Rotational symmetry about the origin |
| Definition of a periodic function | Graph repeats itself every T |
| Monotonically increasing | |
| Monotonically decreasing | |
| Composite function | |
| Inverse function | where f(x) is one-to-one |
| Conditions for a function f(x) to be continuous at c | |
| nth term of an arithmetic sequence | |
| nth term of a geometric sequence | |
| Sum/difference rule | |
| Product rule | |
| Quotient rule | |
| Sandwich theorem | |
| Sum of n terms of an arithmetic series | |
| Sum to n terms of a geometric series | |
| Sum to infinity of a geometric series | |
| Properties of convergent series | |
| Divergence test | |
| Comparison test | |
| Ratio test | |
| Leibniz' theorem | |
| Absolute convergence | and it is said to converge absolutely. |
| Formal definition of a derivative | |
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X To A (binary/octet-stream)
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Ln Ax (binary/octet-stream)
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Exp (binary/octet-stream)
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| Product rule | |
| Quotient rule | |
| Chain rule | |
| Second derivative chain rule | |
| Leibniz rule for repeated differentiation of products | |
| The linearization of f(x) at x=a | |
| Extreme value theorem of continuous functions | If f(x) is continuous at every point on [a,b] then f takes both its maximum and minimum values on this interval. |
| Concave function f | f is concave if any chord joining two points lies above the graph |
| Convex function f | f is convex is any chord joining two points lies below the graph |
| Point of inflexion | then x is a point of inflexion |
| L'Hôpital's rule (for functions) | If f(a)=g(a)=0 (or f(a)=g(a)=∞), and we can evaluate f'(a) and g'(a), then |
| Intermediate Value Theorem | A function f(x) that is continuous at all x∈[a,b] takes on every value between f(a) and f(b) |
| Rolle's Theorem | Suppose that f(x) is continuous at all x∈[a,b] and it is differentiable at all x∈(a,b), and f(a)=f(b), then there is at least one value c∈(a,b) such that f'(c)=0 |
| The Mean Value Theorem | Suppose that f(x) is continuous at all x∈[a,b], it is differentiable at all x∈(a,b) then there is at least one c∈(a,b) such that |
| Constant Difference Theorem | |
| Maclaurin series | |
| Taylor series | |
| Remainder term, Taylor's theorem | |
| Remainder estimation | where M and R are positive constants |
| Scalar product | |
| Vector product | |
| Equation of a line (vectors) | |
| Equation of a plane (vectors) |
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99 (binary/octet-stream)
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