Solve the initial-value problem. {eq}\frac {d^3y}{dx^3} = 7 {/eq}; y"(0) = -3, y'(0) = 5, y(0) = 5

Learn to define the initial value problem and initial value formula. Learn how to solve initial value problems in calculus. See examples of initial value problems.

A linear relationship is a type of function where two quantities have a direct, linear connection and create a straight line when graphed. Learn to describe a linear relationship between two quantities, how to define range and domain, and how to model a linear relationship on a graph.

Functions are a constant in most areas of math and they can be categorized into two types: linear and nonlinear. Learn how to distinguish between these functions based on their distinct equations and appearance on a graph.

Learn how to tell if a function is increasing or decreasing. See examples of both positive linear graphs and negative linear graphs and practice identifying them.

In this lesson, learn the concept of distance between two points using a graph. Moreover, learn how to calculate the distance between two points using the distance formula as well as examples of using the distance formula.

Learn about the properties of division both arithmetically and algebraically. Use a division property of equality example to solidify understanding of the concept.

Center measurements describe the values that represent the middle, or normal, values in a data set, and measures of variability describe the spread of the data itself. Explore the terms and methods of these two concepts in analyzing data sets.

Learning how to capture qualitative information to put into a graph in a project is crucial in communicating knowledge to an audience. Learn more about qualitative features of a function and how to translate words into graphs based on the function's qualitative features.

Learn the definition of dilation in math. Discover the center of dilation and the scale factor of a dilation. Learn how to find the scale factor of a dilation.

Learn how to find rate of change in a table and how to find rate of change on a graph. See how rate of change tables give the rate of change between two points.

Rates of change show how fast a parameter changes with respect to another reference parameter. Learn about rates of change, how to graph rates of change, and see the difference between positive and negative rates of change.

Learn about proportional and non proportional relationships. Identify what makes a graph proportional, and discover how to plot a non proportional equation.

When you have terms in parentheses in your problem, you have to be careful that you always evaluate these terms first before trying to combine like terms. If you don't, you'll get a wrong answer. Learn how to do this in this lesson.

Learn about decimal expansion with rational numbers. Discover the difference between finite and repeating decimals and convert a repeating decimal into a fraction.

Explore linear and nonlinear functions, understand what makes a function linear or nonlinear, and compare linear vs. nonlinear equations and graphs.

You will examine the differences in composition of animal and plant cells.