- 3.10.46E: ?Searchlight-wide beam A revolving searchlight, which is 100 m from...
- 3.10.45E: ?Viewing angle The bottom of a large theater screen is 3 ft above y...
- 3.10.41E: ?Watching an elevator An observer is 20 m above the ground floor of...
- 3.10.40E: ?Oblique tracking A ship leaves port traveling southwest at a rate ...
- 3.10.18E: ?Ladder against the wall again A 12-ft ladder is leaning against a ...
- 3.10.34E: ?Disappearing triangle An equilateral triangle initially has sides ...
- 3.10.35E: ?Clock hands The hands of the clock in the tower of the Houses of P...
- 3.10.37E: ?Filming a race A camera is set up at the starting line of a drag r...
- 3.10.39E: ?Oblique tracking A port and a radar station are 2 mi apart on a st...
- 3.10.25E: ?Draining a half-cylinder tank A trough is shaped like a half cylin...
- 3.10.16E: ?Divergent paths Two boats leave a port at the same time, one trave...
- 3.10.44E: ?Watching a Ferris wheel An observer stands 20 m from the bottom of...
Solutions for Chapter 3.10: Graphing Functions
Full solutions for Calculus: Early Transcendentals | 1st Edition
Summary of Chapter 3.10: Graphing Functions
As we show in this section, derivatives (first and second derivatives) tell us much more about the behavior of functions.
artesian coordinate system
An association between the points in a plane and ordered pairs of real numbers; or an association between the points in three-dimensional space and ordered triples of real numbers
Completing the square
A method of adding a constant to an expression in order to form a perfect square
See Power function.
General form (of a line)
Ax + By + C = 0, where A and B are not both zero.
Head minus tail (HMT) rule
An arrow with initial point (x1, y1 ) and terminal point (x2, y2) represents the vector <8x 2 - x 1, y2 - y19>
Left-hand limit of f at x a
The limit of ƒ as x approaches a from the left.
A graph of a polar equation of the form r2 = a2 sin 2u or r 2 = a2 cos 2u.
Measure of center
A measure of the typical, middle, or average value for a data set
See Linear programming problem.
An interval that does not include its endpoints.
Parallelogram representation of vector addition
Geometric representation of vector addition using the parallelogram determined by the position vectors.
A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.
A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.
Quadratic equation in x
An equation that can be written in the form ax 2 + bx + c = 01a ? 02
A function that can be written in the form ƒ(x) = ax 2 + bx + c, where a, b, and c are real numbers, and a ? 0.
See Viewing window.
A process for gathering data from a subset of a population, usually through direct questioning.
Solution of a system in two variables
An ordered pair of real numbers that satisfies all of the equations or inequalities in the system
Sum of an infinite series
See Convergence of a series