Parabola

The story of Hypatia is what led her to her upcoming and how she made an impact to society. Her father Theon of Alexandria, Plato, Aristotle, and Plotinus influenced her in like and learning to love and have a passion for mathematics and everything that came with it. In her time of A.D she was the only woman who made a big difference. Hypatia was a popular teacher of interesting topics. She drew attention to herself by being phenomenal at what she did. Her words embraced others as much as herself by dedicating her life and virginity.She was a dedicated woman that loved at what she did and learned in her time she is an ancient woman of Alexandria that made a difference to our society of where Parabolas, hyperbolas and ellipses. Hypatia life just began let's see how it ends. She was an ancient woman in our society that made a difference is what we know and how we know it. Hypatia created things that we use to this day, she made history that…

mathematics were conducted by using the formulas of x-y=a and x^2-y^2=(x-y) +b, which were referred to as simultaneous pairs. Most of her well known contributions to math were revisions to the work of her male cohorts. Three of her heavily appraised corrections and commentaries were to that of: Ptolemy’s “Almagest”, Apollonius’ review of Conics, and her father Theon’s lessons of the “Euclid Elements”. She even revised her commentary of “The Arithmetica” conducted by Diophantus. Out of all her…

help us in improving our plays in Basketball? I chose to take a gander at basketball from a mathematical point of view where the basketball frames a bend when thrown. The variables utilized will be the diverse statures of the components included in the situation and also the distance between these factors. Through these variables, I will discover a mathematical statement for the parabola or bend and I can utilize it to figure out where I ought to remain on the court to make the play.…

Have you ever noticed how the best roller coasters are parabolic? When on a roller coaster, it feels like gravity is being defied. When the roller coaster falls from the peak of a parabola, it is rejecting air resistance. In America, there are hundreds of theme parks and thousands of roller coasters. People of all different ages ride roller coasters but only a few notice that most roller coasters are in the form of a parabola. Parabolas can be found in most things we encounter every day. A…

Greek mathematician-Apollonius of Perga On the early ages there were a group of people who questioned everything and wanted to find the reason for why it happened. Therefore this group of individuals created new solutions to find the answers to their questions and pass it on to the new generations. One of this individual was Apollonius of Perga who was known as one of the greatest Greek geometer and an astronomer.Apollonius was born in Perga in 262B.C.-190B.C. With all of his acknowledge…

Degenerate Cases of Conic Sections: Conics are formed when a plane and a double cone intersect. These intersections can form a variety of conics. These include: circles, parabolas, ellipses and hyperbolas. A circle can be formed from a cone if a plane intersects with the cone at an angle perpendicular to the base of the cone. This circle is also formed by the equation: (x-h)2+ (y-k)2=r2. This equation creates a relation because the collection of points does not pass the vertical line test. To…

When looking at a flashlight, it can be determined that the flashlight itself resembles a parabola. Flashlights are supposed to be able to focus on a single point, which is infinitely small. Since a flashlight is supposed to mirror a parabola, the flashlight has similar components as a parabola. The filament, which is the part of the flashlight that gives light, resembles the focus on a parabola. The filament is a three dimensional object so it is infinitely larger than a point, yet the filament…

complex zeros. I was able to find how many positive and negative zeros I had using the Descartes Rule of Signs. Using the original equation, I counted from left to right, the amount of sign changes, and that gave me number of positive real zeros. I discovered 2 positive and 2 negative real zeros using this method. Now to find the negative number, the exact same process is repeated, only this time, the –X value is substituted in. The next step would ultimately be to use Interval Value Theorem to…

falling and what its acceleration, position, and velocity might be on the graph. However, after completing the first experiment, I realized that the graphs would look somewhat the same in relation to the basketball since this object was not affected as much as the lighter weight objects (Frisbee and coffee filter) in terms of air drag. The outcomes of all experiments conducted were substantially correct, as they properly evaluated the consequences of objects in respect to drag force. As stated…

A parabola will always have a domain of all x-values so I immediately knew that the domain of this quadratic equation is all real numbers, or (?∞,∞). To find the range, I evaluated the (h,k) which in this equation is (1/4, 15/8). I can see that this parabola has a minimal value of 15/8 and go up to positive infinity. The range is y is greater than or equal to 15/8, or y. The maximum/minimum value can be found by the output of the quadratic function at the vertex. By evaluating the vertex in…