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need help calculus asap 9. Oil is leaking out of a tank at a rate of R(t) gallons/hour, where t is measured in hours. Initially

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need help calculus asap

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9. Oil is leaking out of a tank at a rate of R(t) gallons/hour, where t is measured in hours. Initially there are 10 gallons of oil in the tank. first two hours. (a) (4 points) Write a definite integral that represents the total amount of oil that leaks out in the (b) (4 points) Use the graph of R(t] shown below to estimate how much oil has leaked out of the tank over the first two hours. Note that this is the graph of the rate of change of oil in the tank at time t; not how much oil is in the tank at time t. 2 1 R(t) 2 Basic Indefinite Integrals n + 1 cscar cotan = - - cser + C cos ards = = sinar + C sin arde = - - cosar + C' cardx = = +C sec' andr = - tan ar + C dr each andr = = cotaz + C Vaz - 1 = = sin-1 2 + C sec ar tan as = = secor + C

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