anonymous
  • anonymous
oil is leaking out of a ruptured tanker at the rate of r(t) = 50e^(-0.05t) thousand liters per minute. How many thousands of liters leak out during the first hour?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
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anonymous
  • anonymous
Looks like you have to integrate. Are you taking calculus? If so, you would integrate from time equals 0 to time equals 60 minutes.
anonymous
  • anonymous
Really the equation is saying this: dV/dt = 50*e^(-0.05t) Where v is volume. This can be rewritten as dV = 50*e^(-0.05t)dt Now you can integrate both sides. The left side will just turn into a V.
anonymous
  • anonymous
Remember also that [d/dx(e^(ax))] = [a*e^(ax)] So, if you integrate [e^(ax)], you get [e^(ax)/a]

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