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Solve the following word problem, you will need to know that a cylinder of radius r and height h has volume V = Pi r^2 h. Also, a circle of radius r has area A = Pi r^2 and circumference C = 2 Pi r.
A closed cylindrical can has a radius t and height h.
a) If the surface area S of the can is a constant, express the volume V of the can in terms of S and r.
b) If the volume V of the can is a constant, express the surface area S in terms of V and r.
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..
Determine if the relation R on the set of all real numbers is reflexive, symmetric, antisymmetric, and/or transitive where (x,y) R if and only if x = 1.
Use properties of moduli to sow that when |z3| does not equal |z4|, Re(z1 + z2) / |z3 + z4|
Taylor expansion to find the dominant behavior of velocity - evaluate the dominant behavior of v(t), and also the first correlation to that dominant behavior.
Given the situation described, identify the type of sampling involved. A fraternity assigned an ID number to each of its current pledges.
Show that if G is a 2-connected graph containing a vertex that is adjacent to at least three vertices of degree 2, then G is not hamiltonian.
Calculate the value of the test statistic.
Find the probability that all units in the ten unit sample will test satisfactory.
Suppose that (a_n) ^ infinity, n=m is a convergent sequence of real numbers. Then (a_n) ^ infinity, n=m is also a Cauchy sequence
A representative is to be selected from each of 3 departments in a small college. There are 7 people in the first department, 5 in the second department, and 4 in the third department.
At a one percent level of significance, test to see if the mean of the population is at least twelve ounces. Write your conclusion?
Evaluate the constant of variation and write an equation of direct variation
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