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The point of intersection, where the axes meet is called the origin normally labelled as O. A particular point on a two dimensional coordinate system is defined by the x unit first, followed by y unit in the form (x, y). There are four quadrants as shown in below figure. In Quadrant I the values are (x,y), and II:(-x,y), III:(-x,-y) and IV:(x,-y).
The polar coordinate system is a two-dimensional coordinate system in which a distance from a fixed point and an angle from a fixed direction determine each point on a plane. It is useful where the relationship between two points is expressed in terms of angle and distance. The fixed point is called the pole, and the ray from the pole with the fixed direction is the polar axis. The distance from the pole is called the radial coordinate or radius, and the angle (measured in anti-clockwise) is the angular coordinate, polar angle, or azimuth. Below diagram (left) shows the polar coordinate system:
A particular point on the polar coordinate system is defined by the distance r first, followed by the angle θ (in degrees or radians) in the form (r, θ). An equivalent Cartesian coordinate system for the polar coordinate system is shown to the right, where point (x, y) is represented by (.
Latitude (horizontal line also referred as parallel) is the angular distance, in degrees, minutes, and seconds of a point north or south of the Equator. Each degree of latitude is approximately 69 miles (111 km) apart. Degrees latitude are numbered from 0° to 90° north and south. Zero degree is the equator, the imaginary line that divides our planet into the northern and southern hemispheres. 90° north is the North Pole and 90° south is the South Pole.
Longitude (vertical line also referred as meridians) is the angular distance, in degrees, minutes, and seconds, of a point east or
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The best research complies with the scientific research procedures and ethics standards. Question 1. Three human inquiry errors. There are three errors in human inquiry. First, the research makes an imprecise research observation (Babbie 4). For example, the researcher observes ducks swimming in the river.
Weather Forecasting - Let us suppose that we would like to go on a picnic tomorrow morning, and the weather forecasting report says that the possibility of raining would be 80%. Do we ever wonder where that 80% came from Forecasting like these can be measured by the group who employee in the National Weather Service when they seems at all other days in their historical record that have the same weather characteristics (humidity, pressure, temperature, etc.) and conclude that on 80% of comparable days in the history, it rained.
A logistic model takes a similar form to the geometric, but the growth factor depends on the size of the population and is variable. The growth factor is often estimated as a linear function by taking estimates of the projected initial growth rate and the eventual
The study was designed considering solution times for jigsaw puzzles for different age groups. Two age groups of children 6-year-olds and 8-year-olds took part (independent variable) and their solution time for jigsaw puzzles was measured (dependent
The interval, .04±0.135 indicates that the impact of discussions and group exercises has a proportion ranging from .04-0.135 to .04+0.135. This means that introducing discussions and group exercises may decrease or increase the chances of
(Hint: Let Y denote the interval length between consecutive occurrences of an event described by a Poisson distribution. If the Poisson events are occurring at a rate of λ per unit time, then we have fY (y)
Q1. (iv) The conclusion drawn by the researcher is invalid. This is because there is no data on memory in absence of music. Also no comparison has been made. Therefore, a conclusion cannot be drawn in absence of the data
Models have been in use for a long period. This paper explains what models are and attempt a few problems to show how they are used to solve problems in the real world. The success of a mathematical model depends on how quickly it can be used,
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