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anonymous
 5 years ago
just checking over solution for question:
A tract of land bordered by a highway along the yaxis, a dirt road along the xaxis, and a river whose path is given by the equation y=40.2x^2, where x and y are in hindreds of meters.
The tract is 300m deep along the dirt road The value of the land is constant in any strip parallel to the highway and increases as you move way from the highway, with the value given by v=1000+50x dollars per 10,000 m^2 at the sample point (x,y). Find dW, the worth of a strip. Write an integral that equals the worth of the entire tract.
anonymous
 5 years ago
just checking over solution for question: A tract of land bordered by a highway along the yaxis, a dirt road along the xaxis, and a river whose path is given by the equation y=40.2x^2, where x and y are in hindreds of meters. The tract is 300m deep along the dirt road The value of the land is constant in any strip parallel to the highway and increases as you move way from the highway, with the value given by v=1000+50x dollars per 10,000 m^2 at the sample point (x,y). Find dW, the worth of a strip. Write an integral that equals the worth of the entire tract.

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0here is my solution. we have integral dw, where dw is a strip of the "worth" of the land. The dw is like Area(x)*value(x) at x as you go along , but Area(x) is y(x)*dx

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so integral (4  .2x^2) ( 1000 + 50x) dx from 0 to 3

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh, because 300 m deep along dirt road

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0do you think this needs a double integral?

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0i honestly have no idea, did you try both ways? One with a double integral one with a regular one and solve them on the calculator and check the answer?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0dont know how to set up double integral for this one

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0if the value was constant, we would have k integral y(x)* dx , where y(x)*dx is a strip of area (or a infinitely thin rectangle). but its changing so we have to put it inside the integral

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0since total area = integral y(x)*dx

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so i look at integration as summing the infinitely thin rectangles

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh i dont really care about the answer. i just want to set it up correctly , lol

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0math people just prove a solution exists, they leave the calculations for another day, i suppose

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0well the ancient greeks let the slaves approximate. but i think archimedes was the first to sit down and approximate pi to many digits

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0i mean if u knew the answer, we could see if ur setup was correct. I tried it on the calculator and got 0.009561, etc

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0and math is hard, im regretting my math majorin decision

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh are you undergrad?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0youre doing great if youre freshman, and solved that integral problem the e^x

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0of course math takes effort . but i hit a wall in math personally. in the advanced math stuff,

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0i took calc 1 and 2 in hs, it was okay, calc 3 knocked me down in college

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you can do math for engineering , and that will allow you avoid the advanced formal stuff like topology, for example

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0calc 3 is hard. lol. you have to go over it more than once. i have my own gaps in knowledge. have you tried khanacademy.org

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0okay just finished half of my own hw, sorry gtg ttyl, bye

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh there is units issue

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0no its fine well the y dx is 100 meters * 100 meters, so 10000 m^2, but the value is per 10,000 m^2 , so they cancel. i got 10897.5 as the answer
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