a. Convert the time of observation to eastern daylight time (EDT) as y = x3 + 4x2 + 16x + 2 where x is the specific volume. The work associated with the parcel’s movement is equal to the area under the curve. a. Write an expression for the amount of work done in expanding the parcel from a specific volume of “a” to a specific volume of “b”. Hint: Write the mathematical expression for computing the integral. b. Solve the integral (Integrate). Hint: is this a definite or indefinite integral and how should your solution reflect that? c. For the same parcel, write an expression that would allow determination of a tangent slope to any point on the given curve. Hint: Recall what a derivative represents. d. Solve part c (Differentiate
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Supreeta N.
This is similar to a problem in the textbook. Oil is leaking out of a ruptured tanker at a rate of r = 15e^3t gallons per hour. Write a definite integral that represents the total quantity of oil which leaks out of the tanker in the first 3 hours. Using your formula answer the following questions: A. Estimate the integral using a left hand sum with 3 subdivisions of equal length. Round your answer to one decimal place. Answer: B. Use your calculator to estimate the 'exact' amount. (Your calculator does not give the exact value, therefore your answer to this question is also an approximation, but much more precise than the one you gave in part A. In this case round your answer to two decimal places.) Answer:
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