Analytic geometry

In this project I will talk about curves in three space, also known as curves in three dimensional space or 3 - D. Many of us are familiar with two dimensional space or 2- D. It is called two dimension space because it has two axes: the x-axes and the y-axes. Three dimensional space is represented by the symbol it is called three dimensional space because three axes are used to draw, and the three axes are: x, y, and z. Figure 01: Standard axes of 3 dimensions This is the standard axes of three dimensional or 3- D. Most of the time it only shows the positive value, though the negative value can be added. Three dimensional space use almost the same formula that is used in two dimensions. The formula that we use in two dimensions has an extension in three dimensional space. In two dimensions to find the distance between two points we use the formula: In three dimension to find the distance between points we use the formula: The general equation of the circle in two dimensions with center (h, and k) and radius r is: On the other hand, the general equation of the circle (sphere) in three dimensions with center (h, k, and l) and radius r is: In the standard axes of three dimensions the z axis represents the depth, the x axis represents the length, and the y axis represent the width. In three space we have planes, if we look on the graph the point R is on the plane yz, the point S is on the plane xz, and the point Q is on the xy plane. In three dimension we can…

Fear of the future is one phobia that every so often gets a grip of us all. Wilkinson continues to assert, "We look out into the future, trying our best to make wise decisions, only to find ourselves staring into the teeth of ferocious and widespread uncertainties. If only everything didn't depend on, well, everything else. How do we decide what kind of career path to pursue when it's not clear what industries will exist in 10 or 15 years? How do we plan our children's education when we can't…

Questions: Answer all questions given What kind of relationship did you see in your D vs T graphs (both hand and computer)? Do these relationships make sense? Explain! In the distance versus time graph for the hand graph, there is an exponential increase the in the distance traveled; as time progresses, the distance the car travels increases a little more, as the slope is not a straight line, but instead slopes upwards, with slopes later in the line being steeper than the slopes before. What…

My most valuable experience would be when I took Analytic Geometry and Calculus 1 over the summer. The reason for that would be that it gave me some valuable life lessons that contributed to my success in the years after I took this course. This experience began with an idea that I came up with as the end of my sophomore year began to creep up. I came to the decision of taking a Calculus course over the summer that way when I face calculus problems in my future math classes, they will not be new…

How to Clean, Repair, and Protect Your Hardwood Floors Hardwood flooring is not something you can ignore, since it requires some maintenance to keep it looking good. Here is what you need to know about cleaning hardwood, repairing scratches, and adding a protective finish. Cleaning Cleaning your hard flooring is not difficult to do as long as you know what kind of finish the floor has. This step is essential before repairing or protecting your hardwood floors. Surface Sealed Hardwood Hardwood…

[ IMG] If someone told me they wanted to make a cartoony, firefighting-themed roguelite with a jazz soundtrack, I’d probably think they’re a bit crazy. The small development studio, Laughing Jackal, managed to take these concepts and put them together in a wonderful game called Flame Over. The premise of the game is rather simple. You play as the appropriately-named firefighter, Blaze Carruthers, and run around various buildings trying to put out fires. Needless to say, the main goal is to…

Question 2: Map scale is the ratio of the straight line distance between any two points on a map to the straight line distance between the same two points on the earth’s surface. Now when looking at map scale there a few concepts for instance, ratio (representational fraction) scale is a concept of map scale. Ratio scale is always neutral in the scale measurement used on the map. So when looking at a map scale of 1:50 000 it means that 1 unit of measurement on the map is equal to 50 000 of the…

The handy helper I choose was a video from Khan Academy. This video was about the Cartesian Coordinate System. I naturally gravitated to the Khan Academy link because I was already accustomed to the website while using it to get spun back up before this class. The Kahn Academy site contains similar math videos and you learn from watching their videos and practicing math problems that relate to the video. This particular video consists of a guy explaining math while at the same time visually…

The solution of the Frank and Doris race problem looked to be simple at first. Although Doris speed began faster, Frank gained speed and passed her and thus seemed to be the winner of the race. After looking more closely at the problem I discovered this was not quite the case. I first sketched Frank and Doris given values onto the one Velocity-Time graph. Originally looking at this graph, it looks as if Frank passes Doris at 10 seconds, because that is when his speed becomes greater than Doris’s…

All the scenes in the play were short and barely any characters were called by name. They also did not go in order of the pamphlet that spells “Shakespeare.” Throughout my paper, I try to describe each scene to the best of my ability with the info of which play they are acting out or about just the scenes in general. The beginning of the play began with people cleaning up the stage with brooms. The three people were slouched over sweeping close together. This showed medium topography and close…