Multivariable calculus

I agree with what a teacher at AP readiness said about Calculus, “Calculus is the hardest math course, but it is the easiest math as well.” While this might sound counterintuitive, it is simple to explain. Calculus uses skills from previous courses such as equation manipulation, finding x, and interpreting graphs. Like other math courses it is a continuation of your knowledge, but uses more formulas. When you enter this course, you are expected to already have some knowledge on Geometry, Trigonometry

Hey Theodore, I am glad that my help has landed you an internship. I can see where you would be stuck on figuring out how to start the problem. Let’s take it one piece at a time. The first part I would like to focus on is the lim┬(r→R^- )⁡v where v=-c(r/R)^2*ln⁡(r/R). This may look a little daunting at first, but if you assign R and c a random number then you can get a simpler problem to solve first. I assigned R the value of 5 and c the value of 2 since R and c are constants for the function that

As the name suggests, cylindrical coordinates are 3-dimensional and involve polar coordinates. It combines the 3-dimensional Cartesian coordinate system (x, y, z) with the polar coordinate system (r, θ). The “r” stands for radius while the “θ” stands for theta (the angle usually represented in radians). The x and y are replaced with the polar coordinate system while z stays the same.The coordinates are shown in this manner: (r, θ, z). Graphing cylindrical coordinates is easy as long as you know

The time that i failed was when I was in these two classes that were so hard for me, which his science and math. Not matter how much I try I can never get anything in those classes. The reason that I didn't get a good grade in science his because I knew that my teacher did not like me. The final that the gave us was so hard as well. The didn't do at right an many people failed that class. The reason I failed math second semester is because of things i was going through. I lost people and it was a

Studying the history behind Calculus can seem, for the untrained eye, an impractical use of time. One might think that since as Calculus students, we are using the most advanced and contemporary functions of calculus, it's useless to look back and see what people did before us. However, there are several reasons why looking at the historical background of Calculus is important. As the lecture stated, the main reasons why the history of Calculus is important is that it opens our, being the students

Obstacles can easily change one’s journey in life. I believe I did have to overcome obstacles to succeed in AP Calculus, but they are quite different than those of the characters in the movie. In the movie, basically every character had a large obstacle to stop them from taking the class. For example, Angel was hindered by his activity within a gang. Ana had to deal with her father who wanted her to drop out of school and join the family business. Pancho had to choose between joining the workforce

understanding of slope (rate of change) while taking calculus? Introduction Slope is a very important foundational and abstract mathematical topic that emerges in the secondary mathematics curricula. It is a topic applied in many fields, including the sciences, but its conceptual development marks a significant transition to advanced mathematical courses as in the study of calculus. By definition, calculus is the study of change and motion. In a calculus class, a conceptual understanding of slope is extremely

Welcome to calculus II. Calculus is a wonderful subject with very nice application in different area of natural science. It is one of the important achievements of human thought developed in thousands of years. This course Calculus II is another building of calculus after Calculus I and is deigned to develop the concept integration techniques and their physical applications, sequence and series, and linear algebra. Here, you'll learn not only to compute with these objects, but also what they mean

Here, we extend the weak KAM and Aubry-Mather theories to optimal switching problems. We consider three issues: the analysis of the calculus of variations problem, the study of a generalized weak KAM theorem for solutions of weakly coupled systems of Hamilton-Jacobi equations, and the long-time behavior of time-dependent systems. We prove the existence and regularity of action minimizers, obtain necessary conditions for minimality, extend Fathi’s weak KAM theorem, and describe the asymptotic limit

1. ht= -4.9t2+ 450, where t is the time elapsed in seconds and h is the height in metres. a) Table of Values t(s) | h(t) (m) | 0 | ht= -4.9(0)2+ 450= 450 | 1 | ht= -4.9(1)2+ 450= 445.1 | 2 | ht= -4.9(2)2+ 450= 430.4 | 3 | ht= -4.9(3)2+ 450= 405.9 | 4 | ht= -4.9(4)2+ 450=371.6 | 5 | ht= -4.9(5)2+ 450=327.5 | 6 | ht= -4.9(6)2+ 450= 273.6 | 7 | ht= -4.9(7)2+ 450= 209.9 | 8 | ht= -4.9(8)2+ 450= 136.4 | 9 | ht= -4.9(9)2+ 450=53.1 | 10 | ht= -4.9(10)2+ 450= -40 |