Please include how you solved them.

Doesn't seem that hard man

Step up then yo. It isn't hard, I just don't understand it.

you take the first swing

Quit tryin' to step on my testicles brah.
Dis srs mathz here!

Really though, any help would be appreciated lol.

#7 it highlights "two" hours
the boundary of integration should be from 0-2 hrs but its asking for minutes so 0-120

i guess that's a start..

#6
a)
At t=1 both cars have an average velocity of 1500/2 = 750 ft/min
The estimate of the distance travelled (for both cars) in that time is 750*1 = 750 feet
b-)
1 min



#8
The function is a line.

the y intercept of the line = 30,000
the slope = (30,000-10,000)/(0-30) = -2000/3
f(x) = (-2000x)/3 + 30,000

the price is
=3/10*integral from 0 to 30 of {(-2000x)/3 + 30,000}*dx
=3/10 * [integral from 0 to 30 of {(-2000x)/3}dx +integral from 0 to 30 of {30,000}*dx]
=3/10 * [-2000/3*integral from 0 to 30 of {x} + integral from 0 to 30 of {30,000}*dx]
those are very simple integrals, which lead to the answer of:
=$180,000

This post was edited by Rocinante on Dec 2 2013 07:24pm

guess that will be the answer looked for, because it's supposed to be simple
but to note:
- day zero wouldn't attract a charge in the real world
- fractional space would be charged for
bad choice of example used in the problem because it would be a step-function in reality

yeah a series would be the right way for sure!

Thanks to everyone for posting up, got it all figured out