Question

Oil is leaking out of a ruptured tanker at a rate of r=17e2tr=17e2t gallons per hour....

Oil is leaking out of a ruptured tanker at a rate of r=17e2tr=17e2t 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:

equation editor



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:

equation editor

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A ruptured oil tanker causes a circular oil slick on the surface of the ocean. When...
A ruptured oil tanker causes a circular oil slick on the surface of the ocean. When its radius is 160 meters, the radius of the slick is expanding by 0.3 meter/minute and its thickness is 0.07meter. (a) At that moment, how fast is the area of the slick expanding? (Round your answer to three decimal places.) (b) At that moment, the circular slick has the same thickness everywhere, and the volume of oil spilled remains fixed. How fast is the...
Oil leaked from a tank at a rate of r(t) liters per hour. Values of the...
Oil leaked from a tank at a rate of r(t) liters per hour. Values of the rate at 2-hour intervals are given in the table below. time (hours)r(t) (liters per hour) 0 2 4 6 8 10 12 8.7 7.6 6.8 6.2 5.7 5.3 5.0 (a) Use a Left Hand Sum with n=3 subdivisions to give an approximation on the total amount of oil lost over the time interval from t=0 to t=12 hours. Include units in your answer. (b)...
An environmentalist wants to find out the fraction of oil tankers that have spills each month....
An environmentalist wants to find out the fraction of oil tankers that have spills each month. Step 1. Suppose a sample of 438 tankers is drawn. Of these ships, 355 did not have spills. Using the data, estimate the proportion of oil tankers that had spills. (Write your answer as a fraction or a decimal number rounded to 3 decimal places) Answer:: ______________ Step 2. Suppose a sample of 438 tankers is drawn. Of these ships, 355 did not have...
A tank holds 100 gallons of water, which drains from a leak at the bottom, causing...
A tank holds 100 gallons of water, which drains from a leak at the bottom, causing the tank to empty in 40 minutes. According to Toricelli's Law, the volume V of water remaining in the tank after t min is given by the function V = f(t) = 100 1 − t 40 2 . (a) Find f −1. f −1(V) = $$ Correct: Your answer is correct. What does f −1 represent? f −1 represents the rate at which...
United Oil Company is attempting to develop a reasonably priced unleaded gasoline that will deliver higher...
United Oil Company is attempting to develop a reasonably priced unleaded gasoline that will deliver higher gasoline mileages than can be achieved by its current unleaded gasolines. As part of its development process, United Oil wishes to study the effect of two independent variables—x1, amount of gasoline additive RST (0, 1, or 2 units), and x2, amount of gasoline additive XST (0, 1, 2, or 3 units), on gasoline mileage, y. Mileage tests are carried out using equipment that simulates...
Total plasma volume is important in determining the required plasma component in blood replacement therapy for...
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 43 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that σ = 7.70 ml/kg for the distribution of blood plasma. (b) What conditions...