- 8.4.A.1: D
- 8.4.A.2: B
- 8.4.A.3: A
- 8.4.A.4: C#
- 8.4.A.5: Using only one tuning fork at a time and the sumof three functions,...
- 8.4.A.6: Using three tuning forks for the notes C, E, and Gat one time, find...
Solutions for Chapter 8.4.A: Excursion: Sound Waves
Full solutions for Precalculus | 1st Edition
Angle of elevation
The acute angle formed by the line of sight (upward) and the horizontal
A function is bounded below if there is a number b such that b ? ƒ(x) for all x in the domain of f.
See Compound fraction.
The principle of experimental design that makes it possible to rule out other factors when making inferences about a particular explanatory variable
The process of utilizing general information to prove a specific hypothesis
An identity involving a trigonometric function of u - v
A shift of a graph to the left or right.
The inverse relation of a one-to-one function.
Law of sines
sin A a = sin B b = sin C c
A graph of a polar equation of the form r2 = a2 sin 2u or r 2 = a2 cos 2u.
limx:aƒ1x2 = L means that ƒ(x) gets arbitrarily close to L as x gets arbitrarily close (but not equal) to a
Midpoint (in Cartesian space)
For the line segment with endpoints (x 1, y1, z 1) and (x2, y2, z2), ax 1 + x 22 ,y1 + y22 ,z 1 + z 22 b
Multiplication property of equality
If u = v and w = z, then uw = vz
Product of complex numbers
(a + bi)(c + di) = (ac - bd) + (ad + bc)i
The distance from a point on a circle (or a sphere) to the center of the circle (or the sphere).
Zeros of multiplicity ? 2 (see Multiplicity).
Use a graphical method, including use of a hand sketch or use of a grapher. When appropriate, the approximate solution should be confirmed algebraically
Spiral of Archimedes
The graph of the polar curve.
Symmetric property of equality
If a = b, then b = a
The scale of the tick marks on the x-axis in a viewing window.