Pythagorean Theorem The Pythagorean Theorem also known as Pythagoras’s theorem is a relation in Euclidean geometry that are the tree sides of a right triangle. It’s the sum of the areas of the two squares on the legs equals the area of the square on the hypotenuse. The equation use for it is A squared plus B squared equals C squared.The Theorem relates the lengths of the three sides of any right triangle. The theorem is named after the ancient Greek. There is evidence that indicates that Pythagorean Theorem was well- known to the mathematicians of the first Babylonian Dynasty (20th to 16th centuries BC) which would have been over a thousand years before Pythagoras was born. People say that Pythagoras discovered the theorem at least fifteen hundred years before Pythagoras was born. But no one really knows when it was founded or discovered. The Pythagorean Theorem was known long before Pythagoras but he might have been the…
PROCEDURE Maximum power and Norton’s Theorem will be performed to solve the unknowns within the given circuit. How to use both Maximum Power and Norton’s Theorem properly, are to be explained in order to solve a circuit using these approaches. THEORY MAXIMUM POWER Maximum power states that a load receives max power from a network when it’s resistance is exactly equal to the Thevenin and Norton resistance of the network supplying the power (as shown below): If the load resistance is…
According to Ronald Coase, founder of the Coase Theorem; the Coase Theorem is a theory in legal and economics that affirms that when there are complete competitive markets with no transaction costs, an efficient set of inputs and outputs to and from production-optimal distribution is selected regardless of how property rights are divided. In addition to that, according to Investopedia, “the Coase theorem asserts that when property rights are involved, parties naturally follow the most efficient…
standard practices during the time period because he prefers pleasure from sex from unconventional methods over loyal monogamy. Septimus is academically tutoring Thomasina, but is also teaching her sex in a unique manner considering their time period. This introduces Thomasina’s desire for knowledge, but also how sex and mathematics can be a societal battle. Septimus then immediate contrasts sex to math in order to portray how even though they seem like binary oppositions, they are immensely…
Pythagoras was born around 570 BCE near the island of Samos located in Eastern Aegean. Around 530 BCE, he settled near Croton, South Italy. He was considered one of the best mathematicians and scientist. One huge thing that he is known for creating is the Pythagorean Theorem, which is used when determining side c of a right triangle. Some could argue that Pythagoreanism was a cult, based solely on the idea that they used pressure in order to get others to adapt to their ideas. In around 500 BCE,…
Mathematical proof is a method used in both primary and secondary schools at varying levels. Children should be able to justify and give reasons for a conjecture they have produced in order to validate a mathematical proof. There are various techniques that can be used to illustrate the nature of proof in schools. Mathematical proof is defined as a thorough and believable argument to support the truth of a prediction in maths, which turns the assumptions into valid conclusions (Haylock and…
Fundamental Theorem of Calculus The Fundamental Theorem of Calculus evaluate an antiderivative at the upper and lower limits of integration and take the difference. This theorem is separated into two parts. The first part is called the first fundamental theorem of calculus and states that one of the antiderivatives of some function may be obtained as the integral of the function with a variable bound of integration. The second part of the theorem, called the second fundamental theorem of…
Objectives: 1. Students will be able to apply the Pythagorean Theorem to find the length of the unknown side of a right triangle. 2. Students will determine how to use the Pythagorean Theorem to solve mathematical problems 3. Students will be able to evaluate expressions and solve equations with single digit exponents NY State Standards: CCSS.MATH.CONTENT.8.G.B.6 Explain a proof of the Pythagorean Theorem and its converse. CCSS.MATH.CONTENT.8.G.B.7 Apply the Pythagorean Theorem to determine…
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.…
As we delve deeper into our theories on interpersonal communication, we begin to learn more about ourselves and how to interact with the people around us. Whether they are in our lives on a personal, professional or combined capacity. This week I have decided to look at the theories of Interactional View and Genderlect Styles (Griffin, 2015). When we study Interactional View, a theory developed by Paul Watzlawick, we can see how communication has shaped us into the people we are today.…