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A rocket consists of a right circular cylinder of height 25m surmounted by a cone whose height and diameter are equal and whose radius is the same as that of the cylindrical section.
a) Write the function that models the total volume of the rocket.
b) If the total volume of the rocket is m3, what should the radius be (correct to 3 decimal places)?
If the two hypotheses have equal prior probability, for what values of x is the posterior probability of H0 greater than that of H1 and what is the form of the likelihood ratio test of H0 versus H1?
Find the equation of ellipse from the given data - Find the equation of the indicated curve, subject to the given conditions
Find the volume of the ellipsoid generated by rotating around the x axis the region bounded by the ellipse with the equation (x/a)^2 + (y/b)^2 = 1
Accurately and neatly graph and label each of the equations and estimate the point of intersection of the two lines.
At a particular University students must receive one of the following grades: A, B, C, D and F. What is the minimum number of students required in a course to ensure that at least 5 will receive the same grade?
Create an integral whereby you are forced to use all four types of integration. Work the problem and explain why each (u-substitution, trig substitution, fractions, parts) are all needed.
The perimeter of a basketball court is 114 meters and the length is 6 meters longer than twice the width. What are the length and width?
To two decimal places, what is the value of the positive root in the auxiliary equation?
Suppose that for a particular person enrolled in a typing class, Sketch a graph of the function f, including any vertical or horizontal asymptotes.
examine the leading term and the far left and far right behavior of the graph 0n the function 3x^4-8x^2-9x+5
the man is 5 feet tall. The pole casts a shadow that is 36 feet and the man casts a shadow of 8 feet. How tall is the telephone pole?
What is the probability that a randomly selected chicken has hookworm? Given a randomly selected chicken has hookworm, what is the probability it is from the red house?
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