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Definite Integrals and Area

"Definite integrals can be used to find the area under, over, or between curves. If a function is strictly positive, the area between it and the x axis is simply the definite integral. If it is simply ...

Quotient Rule of Logarithms

"When evaluating logarithms the logarithmic rules, such as the quotient rule of logarithms, can be useful for rewriting logarithmic terms. The quotient rule of logarithms allows us to separate parts o ...

Critical Points

"Critical points are places where the derivative of a function is either zero or undefined. These critical points are places on the graph where the slope of the function is zero. All relative maxima a ...

Properties of Real Numbers

"When analyzing data or solving problems with real numbers, it can be helpful to understand the properties of real numbers. These properties of real numbers, including the Associative, Commutative, Mu ...

Properties of Logarithms

"In order to solve equations with logarithms and exponential functions, we must understand two properties of logarithms. These properties of logarithms are the methods we use to get to and solve for v ...

Probability of Multiple Events

"Slightly more complicated than calculating the probability of an event is calculating the probability of multiple events. The probability of multiple events has different calculations depending on wh ...

Probability of Independent Events

"When calculating the probability of multiple events, we must determine whether the events are dependent or independent. The probability of independent events is slightly less complicated than calcula ...

Continuous Functions

"In order for a function to have continuity at a certain point, several conditions including (1) the existence of the point in the domain and (2) the existence of a two-sided limit as the point approa ...

Probability of Dependent Events

"When calculating the probability of multiple events, we must determine if the events are dependent or independent of one another. When calculating the probability of dependent events we must take int ...

Powers of i

"To determine the value of i raised to a power greater than two, we rewrite the term using exponent rules.Remember that i^2 = -1 and i^4 = 1. Therefore, any exponent of i that is a multiple of four wi ...

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