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anonymous
 one year ago
For an object whose velocity in ft/sec is given by v(t) = cos(t), what is its distance, in feet, travelled on the interval t = 1 to t = 5?
anonymous
 one year ago
For an object whose velocity in ft/sec is given by v(t) = cos(t), what is its distance, in feet, travelled on the interval t = 1 to t = 5?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{1}^{5} \cos(t) dt\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3what did you get

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2careful, you need to put absolute value for "distance"

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3good point, or break up the interval into smaller pieces

dan815
 one year ago
Best ResponseYou've already chosen the best response.0find the area under the curve

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0And dan please give chris his maple syrup

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Ephemera what a lad

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@chris00 no man deserves to live without his syrup.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0should be around 2.2..

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i just graphed it...lel

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Let's see what @jim_thompson5910 has to say.

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2dw:1444450101879:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3\[\Large \int_{1}^{5}\cos(x)dx\] \[\Large \left\int_{1}^{\pi/2}\cos(x)dx\right+\left\int_{\pi/2}^{3\pi/2}\cos(x)dx\right+\left\int_{3\pi/2}^{5}\cos(x)dx\right\] \[\Large \left\color{blue}{\int_{1}^{\pi/2}\cos(x)dx}\right+\left\color{red}{\int_{\pi/2}^{3\pi/2}\cos(x)dx}\right+\left\color{blue}{\int_{3\pi/2}^{5}\cos(x)dx}\right\] I'll let you finish

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1444450118173:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3the blue areas on the graph can be treated as normal the red area must be forced to be positive

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0if the question doesn't explicitly say to use algebra, by all means you can use graphical means (says time in an exam) . But always good to use calc techniques.
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