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BC Calculus Flashcards

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AP Calculus Fichas sobre BC Calculus Flashcards, creado por Kelly Realmuto el 14/04/2021.
Kelly Realmuto
Fichas por Kelly Realmuto, actualizado hace más de 1 año
Kelly Realmuto
Creado por Kelly Realmuto hace más de 3 años
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Pregunta Respuesta
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Positive
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Increasing
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Positive
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Increasing
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Changing from positive to negative... f'(x) can be zero or undefined
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a relative extrema. (max or min)
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a relative maximum
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a relative minimum
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Relative Minimum
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Horizontal Tangent
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Point of Inflection
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x + C
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3x + C
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Continuous and Differentiable
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Particle is changing direction v(t) is changing sign
Particle is farthest right/forward/up x(t) has an absolute maximum
Particles speed is increasing graph: v(t) is moving away from the t-axis Values: v(t) and a(t) are the same sign
Total distance traveled over [a,b]
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Displacement over [a,b]
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Average speed over [a,b]
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Average velocity over [a,b]
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Average acceleration over [a,b]
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Taylor Polynomial about x = a
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Maclaurin Polynomial
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Maclaurin Series for cos(x)
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Maclaurin Series for sin(x)
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Maclaurin Series on e^x
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Maclaurin Series for 1/(1-x)
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Approximation Error of an alternating series
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Approximation Error of a non-alternating series
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To find the interval of convergence of a power series use ratio or root test and make r<1. Then plug your endpoints into your sigma form for your power series and see if the series converges at the endpoints.
Length of a curve in Cartesian form
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Integration by parts
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Trapezoidal Riemann sum is an overapprox. when f(x) is concave up
Trapezoidal Riemann sum is an underapprox. when f(x) is concave down
Left Riemann sum is an overapprox. when f(x) is decreasing
Left Riemann sum is an underapprox. when f(x) is increasing
Right Riemann sum is an overapprox. when f(x) is increasing
Right Riemann sum is an underapprox. when f(x) is decreasing
Tangent line approx. is an overapprox. when f(x) is concave down
Tangent line approx. is an underapprox. when f(x) is concave up
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