Felicific calculus

One of the first rules that is taught when learning Calculus is L’Hospital’s rule. The rule provides an easy technique to solve for a limit that has the indeterminate form 0/0. To get past this roadblock, L’Hospital’s rule allows for the individual differentiation of the numerator and denominator, and taking the limit of the result. If after the first application of the rule the limit once again produces the indeterminate form, it is possible to apply L’Hospital’s rule again. There is mystery…

The journey Donald Duck is taking in this short film tells the origins of mathematics and how mathematics can be found in everyday life. The film shows you how it all began by taking Donald back to ancient Greece. Pythagoras is the father of mathematics and he showed us how everything does in fact include math in it. Pythagoras learned that from taking one thread of string and dividing it in half then dividing that in half and so on, he learned they each have their own tones due to each length…

The fundamental theorem of Calculus: The fundamental theorem of calculus asserts the interrelated properties of integration and differentiation. It says that a function when differentiated, can be brought back by integrating (anti-derivative) or a function when integrated, can be brought back by differentiation. First theorem: Let f be a function that is integrable on [a,x] for each x in [a,b], then let c be such that a≤c≤b and define a new function A as follows, A(x)=∫_c^x▒f(x)dt, if a≤x≤b.…

physicist, Sir Isaac Newton. Newton’s name is recognized by almost everyone today due to his math and scientific studies. In the world of mathematics he is known for creating the calculus. However, there are a few people who would disagree with that. Some people would argue that, Gottfried Wilhelm Leibniz is the man who created calculus and because of that there was a dispute that happened between the two mathematicians. Sir Isaac Newton was born in England in the year 1642. He was born…

Calculus was by far my hardest class during my senior year. During this year I felt that all my other classes got easier, except from math. I got a sense that I was going to breeze by senior year and so my work ethic dropped tremendously. However, I still knew I couldn’t let my grades drop for the first semester of senior year and I was able to get a B. After first semester, my other classes got even easier but math kept getting harder and my work ethic kept dropping. I was already accepted into…

Figure 3 illustrates the original site plan of Nobbys lighthouse area, which includes a lighthouse building are located on the Nobbys island in the Newcastle East Heritage Conservation Area, which comprises the lighthouse, the light station, three associated cottages and the surrounding facilities such as the fencing, sheds and garages. All the buildings are stood on the Nobbys island with the elevation of 25 meters. The 0.23 m (9-inch) brickwork buttressed parapet define the perimeter and…

previous semester and felt confident in my math abilities when reflecting upon the course. I knew I needed one more math credit, but I did not know if I should sign up for Honors Discrete Mathematics or Honors Precalculus. Knowing I would face a Calculus class while in college, I decided to take Honors Precalculus, not knowing the challenge that awaited me. Consequently, I consulted friends and acquaintances regarding the course and its rigor. I wanted to know what to expect the moment I walked…

Chinenyenwa Amaechi Dahiya AP Calculus 16 October 2015 Every student who has ever asked an older adult for help with their math homework is very familiar with the phrase “This is not the type of math I did growing up”. The mathematics we have today greatly differs from that of earlier generations and time periods due to the dynamic nature of this field of study. Throughout history, many important individuals have contributed to the field of mathematics and have helped develop the theories,…

Algebra II and I failed the course because I lost interest. Junior year, I took Geometry while everyone was in Pre-Calculus. Even though I didn’t have enough time to catch up to the rest of my class, I still tried. Over the summer, I took Algebra II at my local community college and passed, thus I was able to enroll in Precalculus during Senior year. Although I wasn’t able to take Calculus during my senior year, I was still content with the fact that I tried and as far as I could. I was happy…

1. What are the least, and most, amount of distinct zeroes of a 7th degree polynomial, given that at least one root is a complex number? Answer: If the equation is 7th degree then it has 7 roots. Those roots can be complex or real. Complex roots always come in pairs, so if it has one, then it has 2, the other one being the conjugate of the first one. This in other words, if one complex root is a + bi, then the other complex root is a – bi. If at least one root were complex, then we would have a…