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The solution to the integral of sin^2(x) requires you to recall principles of both trigonometry and calculus. Don’t conclude that since the integral of sin(x) equals -cos(x), the integral of sin^2(x) should equal -cos^2(x); in fact, the answer does not…
Reductions refer to the amount of a decrease, such as a decrease in salary or a decrease in budget. Using a percentage to represent a reduction measures the amount of the reduction in relation to the original amount, rather than…
Cornstarch is the starch derived from the maize (corn) plant. In the corn refining (wet milling) process, cornstarch is obtained from the endosperm of the corn kernel. The chemical components of cornstarch are amylose and amylopectin. When cornstarch and water…
The ideal gas law specifies that the volume occupied by a gas depends upon the amount of substance (gas) as well as temperature and pressure. Standard temperature and pressure — usually abbreviated by the acronym STP — are 0 degrees…
Neutralization reactions occur when you combine two extremely reactive substances together for the purpose of rendering them inactive, or neutral. For example, combining an acid and a base together produces water. Neutralization reactions give off energy, which is known as…
To the ocean-dwelling life forms known as octopuses, humans are the interlopers on this planet. Octopuses have been around almost 300 million years and during that time have evolved some truly amazing survival tools. One of the most notable is…
Kinematics is the branch of physics that describes the basics of motion, and you’re often tasked with finding one quantity given knowledge of a couple of others. Learning the constant acceleration equations sets you up perfectly for this type of…
The Thar Desert is located in parts of India and Pakistan and is known as the Great Indian Desert. It is bounded by two rivers, a mountain range and a salt marsh. In the winter, temperatures fall below freezing, and…
A scatter plot is a graph that shows the relationship between two sets of data. Sometimes it is helpful to use the data contained within a scatter plot to obtain a mathematical relationship between two variables. The equation of a…
Gypsum powder is a natural product found in deposits throughout the United States. It begins as a soft, white mineral rock and is processed to make a dry powder. Naturally occurring gypsum is composed of calcium, sulfur, oxygen and hydrogen.…
