Here are some calc problems that i need help with. If you someone can answer them and do well on them i will work with you directly on future assignments. Thanks

Data is owing through a router on a company's network at a rate of r(t) megabytes per second (mB/s) t seconds after midnight. Interpret the statement 28,200 I f(t) dt = 18,380 in this context. 21,100 0 It took 18,380 5 to increase from 21,100 m3 of data to 28,200 m3 of data. 0 It took 18,380 5 for the rate of data to increase from 21,100 mB/s to 28,200 mB/s. 0 Between 21,100 5 after midnight and 28,200 5 after midnight, the amount of data handled was 18,380 m3. 0 Between 21,100 5 aer midnight and 28,200 5 after midnight, the rate of increase of the data handled was 18,380 mB/s. A city's major newspaper has been losing subscribers. If s(t) = -13,000e'-3' is the rate at which the number of subscribers is changing (measured in subscriptions per month) t months after January 1, 2010, how many subscribers did the paper lose during 2010? (Round your answer to the nearest whole number.) subscribers An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) = 65e'-1t liters per minute. How much oil leaks out during the rst hour? (Round your answer to the nearest liter.) liters The table gives values of a continuous function. Use the Midpoint Rule with three subintervals to estimate the average value fave of f on [20, 50]. fave = x 20 25 30 35 40 45 50 Evaluate the integral by making the given substitution. fx3(7+x4)6dx, u=7+x4 Sm Evaluate the indenite integral. X2 3 dx \\/ 0.4x + 2.7 S\" Evaluate the indenite integral. (Remember to use absolute values where appropriate.) dx 3-2X S\" Evaluate the denite integral. 1 / 3\\/1+ 7x dx 0 S Find the general indenite integral. (Use C for the constant of the indefinite integral.) f(b2+3t+4)dt For the function f(x) = ix3 + 8x 4 nd the following. (Use C for the constant of the indenite integral.) 2 (a) / f(x) dx 2 (D) / F(x) dx 0 : 800 If C'(q) is the marginal cost, in thousands of dollars per unit, of producing q guitars, what does / C'(q) dq represent? 200 Q It represents the increase in marginal revenue when production is increased from 200 to 800 units. 0 It represents the increase in prot when production is increased from 200 to 800 units. 0 It represents the rate of change of the cost when production is increased from 200 to 800 units. 0 It represents the increase in cost when production is increased from 200 to 800 units