- Appendix B.1: A department store issues its own credit card, with an interest rat...
- Appendix B.2: A deposit of $10,000 is made into an account paying a nominal yearl...
- Appendix B.3: A deposit of $50,000 is made into an account paying a nominal yearl...
- Appendix B.4: Use a graph of y = (1+0.07/x)x to estimate the number that (1 + 0.0...
- Appendix B.5: (a) Find (1 + 0.04/n)n for n = 10,000, and 100,000, and 1,000,000. ...
- Appendix B.6: Find the effective annual rate of a 6% annual rate, compounded cont...
- Appendix B.7: What nominal annual interest rate has an effective annual rate of 5...
- Appendix B.8: What is the effective annual rate, under continuous compounding, fo...
- Appendix B.9: (a) Find the effective annual rate for a 5% annual interest rate co...
- Appendix B.10: A bank account is earning interest at 6% per year compounded contin...
- Appendix B.11: Explain how you can match the interest rates (a)(e) with the effect...
- Appendix B.12: In 1989, US inflation was 4.6% a year. In 1989 Argentina had an inf...
- Appendix B.13: Between December 1988 and December 1989, Brazils inflation rate was...
Solutions for Chapter Appendix B: Problems for Appendix B
Full solutions for Applied Calculus | 5th Edition
A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.
Absolute value of a complex number
The absolute value of the complex number z = a + b is given by ?a2+b2; also, the length of the segment from the origin to z in the complex plane.
Absolute value of a real number
Denoted by |a|, represents the number a or the positive number -a if a < 0.
See Inverse tangent function.
A flaw in the design of a sampling process that systematically causes the sample to differ from the population with respect to the statistic being measured. Undercoverage bias results when the sample systematically excludes one or more segments of the population. Voluntary response bias results when a sample consists only of those who volunteer their responses. Response bias results when the sampling design intentionally or unintentionally influences the responses
A theorem that gives an expansion formula for (a + b)n
Combinations of n objects taken r at a time
There are nCr = n! r!1n - r2! such combinations,
a + b = b + a ab = ba
A third variable that affects either of two variables being studied, making inferences about causation unreliable
Division algorithm for polynomials
Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2
Increasing on an interval
A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.
See Mathematical induction.
A special case of a limit that does not exist.
The final digit of a number in a stemplot.
Polynomial in x
An expression that can be written in the form an x n + an-1x n-1 + Á + a1x + a0, where n is a nonnegative integer, the coefficients are real numbers, and an ? 0. The degree of the polynomial is n, the leading coefficient is an, the leading term is anxn, and the constant term is a0. (The number 0 is the zero polynomial)
Reduced row echelon form
A matrix in row echelon form with every column that has a leading 1 having 0’s in all other positions.
A measure of how a data set is spread
The rectangular portion of the coordinate plane specified by the dimensions [Xmin, Xmax] by [Ymin, Ymax].
The numbers 0, 1, 2, 3, ... .