 101.1: At what time will Calvins velocity become negative?
 101.2: How far will Calvin travel upstreamthat is, while his velocity is p...
 101.3: What will Calvins displacement from the starting point be at the en...
 101.4: Write a definite integral that you can use to find the displacement...
 101.5: Write one definite integral that represents the total distance Calv...
Solutions for Chapter 101: Introduction to Distance and Displacement for Motion Along a Line
Full solutions for Calculus: Concepts and Applications  2nd Edition
ISBN: 9781559536547
Solutions for Chapter 101: Introduction to Distance and Displacement for Motion Along a Line
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Addition principle of probability.
P(A or B) = P(A) + P(B)  P(A and B). If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B)

Annual percentage rate (APR)
The annual interest rate

Annual percentage yield (APY)
The rate that would give the same return if interest were computed just once a year

Arctangent function
See Inverse tangent function.

Compound interest
Interest that becomes part of the investment

Factored form
The left side of u(v + w) = uv + uw.

Fibonacci sequence
The sequence 1, 1, 2, 3, 5, 8, 13, . . ..

Focus, foci
See Ellipse, Hyperbola, Parabola.

Instantaneous rate of change
See Derivative at x = a.

Law of sines
sin A a = sin B b = sin C c

Matrix, m x n
A rectangular array of m rows and n columns of real numbers

Measure of an angle
The number of degrees or radians in an angle

Multiplicity
The multiplicity of a zero c of a polynomial ƒ(x) of degree n > 0 is the number of times the factor (x  c) (x  z 2) Á (x  z n)

Numerical model
A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.

Polar distance formula
The distance between the points with polar coordinates (r1, ?1 ) and (r2, ?2 ) = 2r 12 + r 22  2r1r2 cos 1?1  ?22

Summation notation
The series a nk=1ak, where n is a natural number ( or ?) is in summation notation and is read "the sum of ak from k = 1 to n(or infinity).” k is the index of summation, and ak is the kth term of the series

Terminal side of an angle
See Angle.

Unit vector
Vector of length 1.

Vertex form for a quadratic function
ƒ(x) = a(x  h)2 + k

Zero factorial
See n factorial.