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Natural Selection

"Natural selection is a theory conceived by Charles Darwin that states that in a population, organisms with a genetic trait that increases the chance of having offspring will pass on their genes to th ...

Electric Currents - Magnetic Fields

"The interactions between electric currents and magnetic fields create forces. The magnetic force on a current in a magnetic field = current x displacement across the magnetic field. This force can be ...

Dividing Polynomials Long Division

"When dividing polynomials, we can use either long division or synthetic division to arrive at an answer. Using long division, dividing polynomials is easy. We simply write the fraction in long divisi ...

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 ...

3D Coordinate System

"With vectors, we begin to work more with the 3D coordinate system. In the 3D coordinate system there is a third axis, and in equations there is a third variable. We will work with vectors in the 3D c ...

Graphing Radicals

"One way to graph radical functions is to create a table of values and then plot the points. Before starting the table, first determine the domain of the function. Remember, the radical must be greate ...

Solving Trigonometric Equations

"When solving trigonometric equations, we find all the angles that make the equation true. If there is no interval given, use periodicity to show the infinite number of solutions. Two ways to visuali ...

Domain and Range

"An important part of understanding functions is understanding their domain and range. Domain and range are all the possible x-values and y-values of the function, and can often be described easily by ...

3x3 Determinant

"Methods for computing a 3x3 determinant are important and are used when defining the cross product. Finding a 3x3 determinant is not as computationally heavy as finding the determinant of a larger sq ...

Estimating Square Roots

When a radical is not a perfect square (1, 4, 9, 16, …), estimating square roots is a valuable tool. When asked to estimate the value of a radical between two consecutive integers, find the two ...

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