- 4.3.31: Use the triangle to fi nd each of the six trigonometric functions o...
- 4.3.32: In Exercises 3235, fi nd the exact value of each expression. Do not...
- 4.3.33: In Exercises 3235, fi nd the exact value of each expression. Do not...
- 4.3.34: In Exercises 3235, fi nd the exact value of each expression. Do not...
- 4.3.35: In Exercises 3235, fi nd the exact value of each expression. Do not...
- 4.3.36: In Exercises 3637, fi nd a cofunction with the same value as the gi...
- 4.3.37: In Exercises 3637, fi nd a cofunction with the same value as the gi...
- 4.3.38: In Exercises 3840, fi nd the measure of the side of the right trian...
- 4.3.39: In Exercises 3840, fi nd the measure of the side of the right trian...
- 4.3.40: In Exercises 3840, fi nd the measure of the side of the right trian...
- 4.3.41: If sin u = 1 4 and u is acute, fi nd tana p 2 - ub.
- 4.3.42: A hiker climbs for a half mile up a slope whose inclination is 17. ...
- 4.3.43: To fi nd the distance across a lake, a surveyor took the measuremen...
- 4.3.44: When a six-foot pole casts a four-foot shadow, what is the angle of...
Solutions for Chapter 4.3: Precalculus 5th Edition
Full solutions for Precalculus | 5th Edition
A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.
A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined
Convergence of a series
A series aqk=1 ak converges to a sum S if imn: q ank=1ak = S
Divisor of a polynomial
See Division algorithm for polynomials.
Length of a vector
See Magnitude of a vector.
Median (of a data set)
The middle number (or the mean of the two middle numbers) if the data are listed in order.
The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.
Multiplication property of inequality
If u < v and c > 0, then uc < vc. If u < and c < 0, then uc > vc
A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.
For a basic trigonometric function f, an identity relating f(x) to f(-x).
A function in which each element of the range corresponds to exactly one element in the domain
Parametric equations for a line in space
The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.
Principal nth root
If bn = a, then b is an nth root of a. If bn = a and a and b have the same sign, b is the principal nth root of a (see Radical), p. 508.
Zeros of a function that are rational numbers.
A statistical measure that does not change much in response to outliers.
A positive number written as c x 10m, where 1 ? c < 10 and m is an integer.
Shrink of factor c
A transformation of a graph obtained by multiplying all the x-coordinates (horizontal shrink) by the constant 1/c or all of the y-coordinates (vertical shrink) by the constant c, 0 < c < 1.
The magnitude of the velocity vector, given by distance/time.
Standard form: equation of a circle
(x - h)2 + (y - k2) = r 2
A matrix consisting entirely of zeros.