For questions 9-11: Use the information below: A 1000-gallon oil spill has contaminated a reservoir. The company hired to clean the reservoir can remove 10% of the remaining oil each week. 9. Give the formula A = A(w) for which gives the amount of oil remaining in the reservoir after w weeks.  a) A(w) = 1000(0.9)^w b) A(w) = 2000(1.9)^w c) A(w) = 1000(2.9)^w d) A(w) = 2500(0.9)^w 10. How long will it be until there are only 400 gallons of oil still in the reservoir? a) 11.8 weeks b) 10.8 weeks c) 9.7 weeks d) 8.7 weeks 11. If the cleanup company charges $7600 per week for its services, how much will it cost to remove the first 900 gallons of oil from the reservoir? a) $200,000 b) $180,000 c) $167,200 d) $178, 300

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.