564 Final Exam
(d)X= {j10}
(e)X=∅- Which of the following equations is true for all positive real numbers u and v?
(a) ln u+ ln v= ln (u+v)
(b) ln u+ ln v= ln (uv)
(c) ln u+ ln v= ln (uv)
(d) ln u ln v= ln (uv)
(e) None of the above - Imagine that we come across two different functions, both of which are of degree
larger than 2, and where all the coefficients and constants are real numbers. We want
to solve these functions as a two-by-two system. What is the maximum number of real
solutions that such a system can have?
(a) Three.
(b) Four.
(c) Five.
(d) Infinitely many.
(e) We must have more information before we can answer this. - When we say that the common logarithm of a real number w is equal to z, we are in
effect saying that
(a)z equals 10 to the wth power.
(b)w equals 10 to the zth power.
(c)z equals w to the 10th power.
(d)w equals z to the 10th power.
(e)w to the z power equals 10. - The octal numeral 700 represents the same quantity as the base-10 numeral
(a) 448.
(b) 589.
(c) 600.
(d) 816.
(e) 1,023. - In Fig. FE-7, the straight line is the graph of a function where t is the independent
variable and x is the dependent variable. What is the slope of this line? (Be careful!
Note that the horizontal axis represents t, and the vertical axis represents x!)
(a) 1/2
(b) 1
(c)−1/2
(d)− 1
(e) None of the above