The Albert Team Laplace transforms are important tools for us to use when solving linear differential equations. The Laplace transform is a relation of the form – As we can see, the Laplace transformation converts the function f f into another function – which is called the Laplace transform of –
As one of the core skills in AP® Statistics, z-score calculations require you to combine much of what is covered in the first half of the course. Use this AP® Statistics review to be sure you understand everything you need to beat z-score questions on the exam.
Statistics has a habit of taking words that we know and love, and turning them into something else completely. Take the range, for example. While this term may make you think of the old tune “Home on the Range,” the definition of range in math involves way fewer deer and antelope.
Heredity is the passing on of characters from parents onto their progeny. In some organisms, like humans, a parent passes on one copy per gene to their offspring and as a result, the progeny gets two copies in total from its parents. These organisms are called diploids (2n).
Purines and pyrimidines are the two families of nitrogenous bases that make up nucleic acids – in other words, they are the building blocks of DNA and RNA. While they are similar in many respects, there are a number of key differences between them that you will be expected to know for the AP® exam. Before we get into those, however, let’s make sure you understand what purines and pyrimidines are so you can recognize questions about them even if the wording is tricky.
As a high school student, taking English course is just a fact of life. In fact, it is one of the few areas that you will have to take all four years in most school districts. While this can be frustrating for anyone who doesn’t enjoy their English classes, you do get a unique opportunity.
In vector calculus, the cross product of two vectors is a special operation that gives a new vector perpendicular to both initial vectors. The cross product has many applications in multivariable calculus and computational geometry. In this review article, we’ll define the cross product and investigate its properties. You’ll learn how to calculate the cross product, how to derive the cross product formula, and how to make use of the cross product formula in different applications.
While all AP® courses are challenging, how to study for the AP® English Literature and Composition exam is especially hard to determine. Unlike other AP® courses, the study of English literature can be a much more personal journey. You also may not have the opportunity to read all of the texts that may be included in the examination materials.
The AP® Physics Free Response section is composed of 5 questions; you are given 90 minutes to answer them. Knowing the physics is crucial, but beyond that, here are five techniques to minimize errors and maximize points on the AP® Physics Free Response section. We apply all of these techniques to 2015 Free Response Question 1.
It is known that the solution of a differential equation can be displayed graphically as a family of integral curves in the plane which is usually called the phase plane. Properties of planes are the subject of study of Calculus III. In this post, we’ll investigate equations of planes, and explain how they can be employed