554 Final Exam
- Consider the following quadratic equation:
2 x^2 + 5 x+ 8 = 0What is the discriminant in this equation?
(a) 391/2
(b)− 39 1/2
(c) 39
(d)− 39
(e)±j 39- The quadratic equation stated in Question 36 has
(a) two distinct real roots.
(b) one real root with multiplicity 2.
(c) one imaginary root with multiplicity 2.
(d) two imaginary roots that are additive inverses of each other.
(e) two complex roots that are conjugates of each other. - Suppose somebody tells us that there’s a general law about how the terms in a
subtraction problem can be grouped. According to that person, if m,n, and p are
integers, then it is always true that
(m−n)−p=m− (n−p)What can we say about this? Is the person right? Is this a legitimate law of mathematics?
If so, what is it called?
(a) This isn’t a legitimate law of mathematics.
(b) Yes. It is called the associative law.
(c) Yes. It is called the distributive law.
(d) Yes. It is called the commutative law.
(e) Yes. It is called the law of additive inverses.- Figure FE-3 represents all the rational numbers in power-of-10 form. Three points are
shown on the lines: X,Q, and P. Suppose the numbers corresponding to these points
are called x,q, and p respectively. Based on the information in the drawing,
(a) |x| is one order of magnitude larger than |q|.
(b) |x| is one order of magnitude smaller than |q|.
(c) |x| is five orders of magnitude larger than |q|.
(d) |x| and |q| have the same order of magnitude.
(e) the order-of-magnitude relationship between |x| and |q| can’t be defined. - Based on the information in Fig. FE-3,
(a) |x| is six orders of magnitude larger than |p|.
(b) |x| is six orders of magnitude smaller than |p|.