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Using the parametric equations x=3cost, y=3sint, 0≤t≤pi/2, find the surface area of the solid generated when y is rotated about the x axis.
A soda can is to hold 12 fluid ounces. Suppose that the bottom and the top are twice as thick as the sides. Find the dimensions of the can which minimize the amount of material used.
Find the standard deviation of the data in the given frequency table. A company had 80 employees whose salaries are summarized in the frequency table below. Find the standard deviation.
What is the probability of randomly selecting a student who is female or prefers Digital Art?
Let G be a group (finite or infinite) and let a and b in G. Let o(a) represent the order of a. Suppose G is abelian and both a and b are of finite order. Show that ab is of finite order and o(ab) divides o(a)o(b).
The peremiter of a cross section of a piece of lumber is 34 1/2 in. The length is twice the width. Find the actual dimension of the cross section of this piece of lumber.
Conditional Probability Example I'm trying to set up an excel spreadsheet to solve a statistical probability.Patients 23% (smokers) -18% have a chance of contracting a serious illness
Then find a particular solution to the non-homogeneous equation.
The first kernel pops 127 seconds after the microwave oven is started. What is the z-score of this kernel? Round your answer to two decimal places.
Calculate the simple linear regression equation
Find the solutions of the exponential equation
Prove that the subgroup of A4 generated by any element of order 2 and and any element of order 3 is all of A4. Prove that if x and y are distinct 3-cycles in S4 with x != y^-1 (x not equal to the inverse of y), then the subgroup of S4 generated by x..
A system consists of four subassemblies connected in series. The individuak subassembly reliabilities are as follows:
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