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Final Exam 497
(a) An even number times an even number is always even.
(b) An even number times an odd number is always even.
(c) An odd number times an odd number is always odd.
(d) None—that is, all are true.
(e) All are false.
12. As the eccentricity of an ellipse having a major axis of constant length approaches 0,
which of the following statements is inevitably true?
(a) The foci become closer together.
(b) The foci become farther apart.
(c) The foci remain separated by a constant distance.
(d) The foci converge on the origin.
(e) The foci converge on the curve itself.
13. What is the exponent in the product of 2.0 10 p and 7.0 10 q in scientific
notation, reduced to the American standard form where the coefficient is at least equal
to 1 but smaller than 10? Assume p and q are both integers.
(a) p q
(b) p q 1
(c) p q 1
(d) pq
(e) pq 1
14. Imagine an oscillating-spring system in which a weight moves up and down in a
sinusoidal motion according to the formula
S 8 sin 3t
where S is the vertical displacement in meters and t is the time in seconds. Now imagine
that the system is changed so the relationship becomes
S 8 sin 6t
How will this affect the frequency of the motion?
(a) It will cause no change in the frequency.
(b) It will cut the frequency in half.
(c) It will cut the frequency to 1/4 its previous value.
(d) It will double the frequency.
(e) It will quadruple the frequency.
15. The distance between (0,0,0,0,0) and (1,1,1,1,1) in rectangular 5D space is equal to
(a) 1
(b) The square root of 2
(c) The fifth root of 2
(d) The square root of 5
(e) The fifth root of 5