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Given sin 

(15 points) A tank is shaped like an inverted cone, is a quarter full of water, and has a radius of 6 meters and a height of 30 meters. Find the work needed to pump the water from the tank. Use the density of water as 1000 kg/m3 and g = 9.8 m/s2. 

(15 points) Consider the area bound by the function f(x) = xln(x) and the x-axis over the interval from [1,2]. Set up an integral to represent the volume produced by revolving the above area about the line x = 3. Use either but not both the Trapezoidal Rule or Simpson’s rule with n = 4 to approximate the above volume. Approximate your response to the nearest ten thousandths place.

Which of the following laboratory results is characteristic of the common type of HE?

Franklin Roosevelt’s Executive Order 9066 was issued due to political pressure from the West Coast and 

The Metropollitan Bus Company claims that the mean waiting time for a bus during rush hour is less than 5 minutes. A random sample of 20 waiting times has a mean of 3.7 minutes with a standard deviation of 2.1 minutes. At an   , test the bus company’s claim. Assume the distribution is normally distributed. State the sample mean and standard deviation.

Write a function of the form y = A cos (Bx – C) +D that has a period 

Write an equation of a circle in standard form that has endpoints of a diameter of the circle at (-3,-11) and (11,7). 

Calculate the reference angle for the given angle. 

Choose all trig functions that are negative in quadrant II.