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An oil tank has the shape of a cylinder with a diameter of 10 feet. It is mounted so that the axis of the cylinder is horizontal (the circular cross-sections of the cylinder are vertical). If the depth of the oil is 6 feet, what percentage of the total capacity of the tank is filled? After drawing a picture and setting up this problem, use the following methods to find a numerical estimate and answer.
a) Use geometric techniques to estimate the percentage full. Find an upper and lower bound to the percentage full.
b) Use analytical methods to evaluate the integral in part a.
A market research organization has found that 40 percent of all supermarket shoppers refuse to cooperate when questioned by its pollsters. If 1,000 shoppers are approached, Find the probability that fewer than 500 will refuse to cooperate?
Your weekly paycheck is 15 percent less than your coworker's. Your two paychecks total 695. Find the amount of each paycheck.
Explain the five-steps for solving rational equations. Can any of these steps be eliminated? Can the order of these steps be changed? Would you add any steps to make it easier, or to make it easier to understand?
Determine the exact value of cos (α - β)- terminal side in the second quadrant
fixed axis has an angular position given by theta = 3.0 - 2.0t3, where theta is measured in radians and t in seconds. What is the angular acceleration of the wheel at t = 2.0 s?
Indicate the equation of the given line in standard form.
cassandra bought an antique dresser for $500. if the value of her increases 6^ annually, what will be the value of cassandra's dresser at the end of 3 years to the nearest dollars?
The problem is: Z = X COS Y - Y COS X-Find all of the first and second partial derivatives of this problem.
What is the bit string corresponding to the symmetric difference of two sets?
If 309 students was enrolled in a weekend and evening program, or a regional center with 6,633 students what is the probability of a randomly selected student attended a regional center or the weekend and evening program?
An electric charge is distributed throughout 3-space with density inversely proportional to the distance from the origin. Show that the total charge inside a sphere of radius R is proportional to R^2.
Show your results numerically and graphically. What can you conclude about the affect of the rate of return on your retirement plans ?
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