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Articles & Books From Michelle Rose Gilman
Article / Updated 03-26-2016
Logarithms are simply another way to write exponents. Exponential and logarithmic functions are inverses of each other. For solving and graphing logarithmic functions (logs), remember this inverse relationship and you'll be solving logs in no time! Here's the relationship in equation form (the double arrow means "if and only if"):
Observe that x = by > 0.
Article / Updated 03-26-2016
To add or subtract matrices, you have to operate on their corresponding elements. In other words, you add or subtract the first row/first column in one matrix to or from the exact same element in another matrix. The two matrices must have the same dimensions; otherwise, an element in one matrix won't have a corresponding element in the other.
Article / Updated 03-26-2016
All functions, including trig functions, can be described as being even, odd, or neither. Knowing whether a trig function is even or odd can help you simplify an expression. These even-odd identities are helpful when you have an expression where the variable inside the trig function is negative (such as –x).
Article / Updated 03-26-2016
When the equation of a conic section isn't written in its standard form, completing the square is the only way to convert the equation to its standard form. The steps of the process are as follows:
Add/subtract any constant to the opposite side of the given equation, away from all the variables.
Factor the leading coefficient out of all terms in front of the set of parentheses.
Article / Updated 03-26-2016
A hyperbola is the set of all points in the plane such that the difference of the distances from two fixed points (the foci) is a positive constant. Hyperbolas always come in two parts, and each one is a perfect mirror reflection of the other. There are horizontal and vertical hyperbolas, but regardless of how the hyperbola opens, you always find the following parts:
The center is at the point (h, v).
A practical and hands-on guide for learning the practical science of AP chemistry and preparing for the AP chem examGearing up for the AP Chemistry exam? AP Chemistry For Dummies is packed with all the resources and help you need to do your very best. Focused on the chemistry concepts and problems the College Board wants you to know, this AP Chemistry study guide gives you winning test-taking tips, multiple-choice strategies, and topic guidelines, as well as great advice on optimizing your study time and hitting the top of your game on test day.