- 10-1.1: At what time will Calvins velocity become negative?
- 10-1.2: How far will Calvin travel upstreamthat is, while his velocity is p...
- 10-1.3: What will Calvins displacement from the starting point be at the en...
- 10-1.4: Write a definite integral that you can use to find the displacement...
- 10-1.5: Write one definite integral that represents the total distance Calv...
Solutions for Chapter 10-1: Introduction to Distance and Displacement for Motion Along a Line
Full solutions for Calculus: Concepts and Applications | 2nd Edition
Solutions for Chapter 10-1: Introduction to Distance and Displacement for Motion Along a LineGet Full Solutions
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
See Inverse tangent function.
Interest that becomes part of the investment
The left side of u(v + w) = uv + uw.
The sequence 1, 1, 2, 3, 5, 8, 13, . . ..
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
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)
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
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
Vector of length 1.
Vertex form for a quadratic function
ƒ(x) = a(x - h)2 + k
See n factorial.