Understanding the Different Applications of the GPS Coordinate
ByWhen we want to find various type of information we look in the appropriate guides. To help us find our way city streets and other countries there are gps systems that we can use. These gps units use the information that you provide them to find out where your location is. You can also use these units to find other places as well. For all of these needs you will need a recognizable gps coordinate.
You are probably thinking that the reason you want a gps is to know where you are. You never thought that you would have to know various coordinates in order to find your location. Before you start worrying and panicking you should take a look at your manual that came with your gps system.
In this manual you will be informed about the fact that the system you are holding uses signals from satellites to state your location. You will also be informed of the type of gps coordinate system that is used by your unit. Following these simple directions you can use the program to find your location using the coordinates that you receive from the gps satellites.
To make this dilemma you face fade away even more we should see how you will be receiving this gps coordinate information. The first step is to understand that your gps receiver will send signals to a number of gps satellites. As the signals travel at a set pace the gps unit will have the ability of calculating the position and the distance of the satellites to the receiver’s position.
The receiver will also use the signals from about two other gps satellites to get accurate information. From this information the gps unit can then ascertain the user’s position in relation to the information from the satellite.
The gps coordinate receiver has two different applications. There is the original military usage receiver and the civilian gps receiver.
Of these two devices the military based gps system is more accurate in displaying the gps coordinate information. This has not however stopped civilian manufactures from trying to develop their gps units to receive coordinate information much more accurately. This updating of the gps coordinate information becomes even more accurate with each new generation of gps systems and receivers.
While this information may seem to be confusing there is only one fact that you need to keep in mind. This is the reason why the gps receiver is in your possession. With the calculations from the gps satellites the gps coordinate receiver will be able to pin point the position you are in and the distance to the place that you want be at. This is the only reason for you to have a gps handheld unit in your possession.
Muna wa Wanjiru
http://www.articlesbase.com/gps-articles/understanding-the-different-applications-of-the-gps-coordinate-303692.html
3 Comments
March 5th, 2010 at 2:52 pm
Calculus: Applications of differentiations problem (URGENT)?
Consider the curve defined by the equation y^5 - y - x^2 = -1.
a) Find the equations of three different lines which are tangent to the curve at x = 1.
b) Find the coordinates of the point(s) at which the tangent line to the curve is vertical. Express the coordinates numerically to three decimal places.
c) Find the coordinates of the point(s) at which the tangent line to the curve is horizontal. Express the coordinates numerically to three decimal places.
d)Graph this curve twice. Explain how you did it.
Can you also show the work, so i can understand how you got the results? thanks..! It’s really urgent ..
March 5th, 2010 at 8:54 pm
You mean:
Can you also show the work so i can copy it all down, it’s really urgent because I spend all last night playing CoD and my homework is to be handed in first thing!
lol, sry cant remember how to do these
References :
My school days where I played original Pong on my BBC computer and then having to copy off a friend as the internet wasnt popular or cheap then so couldnt rely on geeks on the internet who didnt have anything better to do to do my homework for me
March 5th, 2010 at 8:56 pm
a)
when x= -1,
y^5 - y - 1 = -1
y^5 - y= 0
y(y^4 - 1) = 0
∴ y= 0, -1
∴ the curve passes through the points (-1,0) and (-1, -1)
o.O hang on a sec.. It says 3 lines and I only have 2 sets of coordinates. Argh, that means complex numbers as well then eh. Ok, another point is (-1,i)
implicit differentiation:
(5y^4)(dy/dx) - 1(dy/dx) - 2x = 0
(5y^4 - 1)(dy/dx) = 2x
dy/dx = 2x/(5y^4 - 1)
gradient: when x= -1 and y= 0,
dy/dx = -2/(5×0^4 - 1) = 2
equation of line:
y= mx + b (m is the gradient, b is the y-intercept)
y = 2x + b
sub. in (-1,0) –> 0 = -2 + b –> b= 2
∴ y = 2x + 2 is the equation of the tangent
gradient: when x= -1 and y= -1,
dy/dx= -2/[5(-1)^4 - 1] = -1/2
equation of line:
y= mx + b
y= (-x/2) + b
sub (-1,-1)
-1 = 1/2 + b –> b = -3/2
∴y= (-x/2) - (3/2)
–> 2y = - x - 3
∴x +2y + 3= 0 is the equation of the tangent
gradient: when x= -1 and y= i,
dy/dx = -2/[5(i^4) - 1] = -2/(5 - 1) = -1/2
equation of line:
y= (-x/2) + b
sub (-1,i)
i = 1/2 + b –> b= i + (1/2)
∴y = (-x/2) + [i + (1/2)]
–> 2y = -x + (i + 1)
∴x + 2y - (i + 1) = 0 is the equation of the tangent
b)
To find the vertical tangent, rearrange the original equation so that y is the subject, then substitute it into the differentiated equation so that we have a gradient function in terms of x. The gradient of a vertical tangent is infinite and for the gradient to be infinite, we need to find which x-values will make the denominator equal to zero. Then substitute these x-values into the original equation to find their y-coordinates.
y^5 - y - x^2 = -1
y^5 - y = -1 + x^2
umm, ok, I don’t know what to do after this… maybe you do? Just keep trying to make y the subject.
anyway! ^^
c)
The gradient of a horizontal tangent is zero
i.e. 2x/(5y^4 - 1) = 0
–> 2x= 0
–> x= 0
sub x= 0 into the original question to find the y-coordinate:
y^5 - y = -1
y^5 - y + 1 = 0
and, i don’t know how to do this one either… xD
d) dunno why its asking you to graph the curve twice… and I don’t know how you would graph a function just going by its tangents
oh wow, I really didn’t do much for you eh..? Sorry!
But I gave you a rough idea of how you should do them (most of them xD), so hopefully it’ll be enough for you to be able to do them yourself now.
^^
References :