I would like you to this week comment on what you believe the limits that we have been studying are used for. Please be specific on where you think they can be used. You can research if you would like.
Thanks,
Mr. Oliger
Limits are used to find points of continuity, derivatives, and integrals. Limits could be used when putting a drink in the refrigerator. At first, the drink starts to cool at a rapid speed, but it does not keep that rate of change. Eventually the change will level out and find a more consistent rate of change. Another example would be a guitar string. The vibrations are rapid at first, but eventually the vibration in the string slows down to a more consistent speed.
The reading of a speedometer is an example of a limit. Your speed is constantly changing, and when you start at 0 mph and accelerate up to 60 mph, the acceleration is an example of a rate of change, which is a limit. Limits can also be used to calculate how fast something bakes in an oven. The food that is baking starts out somewhere around room temperature, and it gradually gets warmer. Time determines how warm the food will get if the temperature of the oven stays at a constant temperature.
Limits can be used when explaining chemical reactions. When the first moments of the reaction occurs, the particles are quickly jumping around. As the reaction becomes a little older, the particles slow down. However, they never completely stop moving. Limits could also be related to pressure release and build-up in such things like a pop can or soda bottle.
Limits can be seen in boiling points of substances and freezing points at sea level pressure. As the liquid approaches the value of boiling or freezing it gets closer and closer to the energy level required to make the phase change occur, but until it reaches the limit or temperature required, it remains as a liquid
Limits can be used to determine how many babies you have to put in the blender for your morning shake. The more babies you put in, the more protein you'll get. However, if the limit is exceeded, then there will be more babies than the recipe calls for, leaving you with a bloody chunk soup. This can be referenced as a vertical asymptote, and infinite limit discontinuity.
Ok so I just realized how screwed I am. Totally forgot to do this. Probably wont count for anything but whatever. A limit can be used to describe the maximum temperature. Theoretically there is no maximum temperature because you could always add more energy, but because we have a finite amount of energy in the universe, there has to be a cut off. Currently, the hottest possible temperature is 1.41*10^32K or 141000000000000000000000000000000K. At this temperature, all energy in the universe is being used. This is so hot, that the wave length put out has a special name. A planck length. A planck length is the shortest possible distance(1.616*10^-26nm). To visualize a planck length- if you had a dot that was .1mm across and it was blown up to the size of the observable universe, a planck length would be a dot inside that dot .1mm across. So as you can see, this length is very very close to zero, but it will never reach it. It is theorized that if you added anymore energy to whatever you were heating, the amount of energy present would create a black hole. A black hole caused by energy, known as a Kugelblitz, would put off so much radiation, that the distance between its waves would be zero, but that is just theoretical and is most likely not possible.
Even though this is really late I'm still going to go for it... Before researching about this I had no idea what limits could be used for. I now know that limits can be used in boiling points and freezing points. That's all I've got.
Limits are used to find points of continuity, derivatives, and integrals. Limits could be used when putting a drink in the refrigerator. At first, the drink starts to cool at a rapid speed, but it does not keep that rate of change. Eventually the change will level out and find a more consistent rate of change. Another example would be a guitar string. The vibrations are rapid at first, but eventually the vibration in the string slows down to a more consistent speed.
ReplyDeleteGood work! I like it!!
DeleteThe reading of a speedometer is an example of a limit. Your speed is constantly changing, and when you start at 0 mph and accelerate up to 60 mph, the acceleration is an example of a rate of change, which is a limit. Limits can also be used to calculate how fast something bakes in an oven. The food that is baking starts out somewhere around room temperature, and it gradually gets warmer. Time determines how warm the food will get if the temperature of the oven stays at a constant temperature.
ReplyDeleteLike it!! Keep up the good work!
DeleteLimits can be used when explaining chemical reactions. When the first moments of the reaction occurs, the particles are quickly jumping around. As the reaction becomes a little older, the particles slow down. However, they never completely stop moving. Limits could also be related to pressure release and build-up in such things like a pop can or soda bottle.
ReplyDeleteThis comment has been removed by the author.
ReplyDeleteLimits can be seen in boiling points of substances and freezing points at sea level pressure. As the liquid approaches the value of boiling or freezing it gets closer and closer to the energy level required to make the phase change occur, but until it reaches the limit or temperature required, it remains as a liquid
ReplyDeleteLimits can be used to determine how many babies you have to put in the blender for your morning shake. The more babies you put in, the more protein you'll get. However, if the limit is exceeded, then there will be more babies than the recipe calls for, leaving you with a bloody chunk soup. This can be referenced as a vertical asymptote, and infinite limit discontinuity.
ReplyDeleteLol put the feet in first so you can see their facial expression 👶😱
DeleteOk so I just realized how screwed I am. Totally forgot to do this. Probably wont count for anything but whatever. A limit can be used to describe the maximum temperature. Theoretically there is no maximum temperature because you could always add more energy, but because we have a finite amount of energy in the universe, there has to be a cut off. Currently, the hottest possible temperature is 1.41*10^32K or 141000000000000000000000000000000K. At this temperature, all energy in the universe is being used. This is so hot, that the wave length put out has a special name. A planck length. A planck length is the shortest possible distance(1.616*10^-26nm). To visualize a planck length- if you had a dot that was .1mm across and it was blown up to the size of the observable universe, a planck length would be a dot inside that dot .1mm across. So as you can see, this length is very very close to zero, but it will never reach it. It is theorized that if you added anymore energy to whatever you were heating, the amount of energy present would create a black hole. A black hole caused by energy, known as a Kugelblitz, would put off so much radiation, that the distance between its waves would be zero, but that is just theoretical and is most likely not possible.
ReplyDeleteEven though this is really late I'm still going to go for it... Before researching about this I had no idea what limits could be used for. I now know that limits can be used in boiling points and freezing points. That's all I've got.
ReplyDelete