 82.8.2.1: In Exercises 14, state the period, amplitude, and midline.y = 6 sin...
 82.8.2.2: In Exercises 14, state the period, amplitude, and midline.y = 7 sin...
 82.8.2.3: In Exercises 14, state the period, amplitude, and midline.2y = cos(...
 82.8.2.4: In Exercises 14, state the period, amplitude, and midline.y = cos(2...
 82.8.2.5: In Exercises 56, what are the horizontal and phase shifts?y = 2 cos...
 82.8.2.6: In Exercises 56, what are the horizontal and phase shifts?y = 4 cos...
 82.8.2.7: Let f(x) = sin(2x) and g(x) = cos(2x). State the periods, amplitude...
 82.8.2.8: Let f(x) = sin(2x) and g(x) = cos(2x). State the periods, amplitude...
 82.8.2.9: In Exercises 916, find a formula for the trigonometric function.
 82.8.2.10: In Exercises 916, find a formula for the trigonometric function.
 82.8.2.11: In Exercises 916, find a formula for the trigonometric function.
 82.8.2.12: In Exercises 916, find a formula for the trigonometric function.
 82.8.2.13: In Exercises 916, find a formula for the trigonometric function.
 82.8.2.14: In Exercises 916, find a formula for the trigonometric function.
 82.8.2.15: In Exercises 916, find a formula for the trigonometric function.
 82.8.2.16: In Exercises 916, find a formula for the trigonometric function.
 82.8.2.17: In 1720, graph two periods of the function without a calculator.y =...
 82.8.2.18: In 1720, graph two periods of the function without a calculator.y =...
 82.8.2.19: In 1720, graph two periods of the function without a calculator.y =...
 82.8.2.20: In 1720, graph two periods of the function without a calculator.y =...
 82.8.2.21: Figure 8.24 shows y = sin x and y = sin 2x. Which graph is y = sin ...
 82.8.2.22: Describe in words how you can obtain the graph of y = cos 5t + 4 fr...
 82.8.2.23: A persons blood pressure, P (in millimeters of mercury, abbreviated...
 82.8.2.24: For 2425, you are given a formula for a sinusoidal function f, and ...
 82.8.2.25: For 2425, you are given a formula for a sinusoidal function f, and ...
 82.8.2.26: In 2627, find a formula, using the sine function, for your height a...
 82.8.2.27: In 2627, find a formula, using the sine function, for your height a...
 82.8.2.28: The graphs in 2829 show your height h meters above ground after t m...
 82.8.2.29: The graphs in 2829 show your height h meters above ground after t m...
 82.8.2.30: Find formula of the form y = A cos(B(t h)) + k for the graph in Fig...
 82.8.2.31: The London Ferris wheel has diameter 450 feet and one complete revo...
 82.8.2.32: The following formulas give animal populations as functions of time...
 82.8.2.33: A population of animals oscillates between a low of 1300 on January...
 82.8.2.34: Find a possible formula for the trigonometric function whose values...
 82.8.2.35: For 3538, let f(x) = sin(2x) and g(x) = cos(2x). Find a possible fo...
 82.8.2.36: For 3538, let f(x) = sin(2x) and g(x) = cos(2x). Find a possible fo...
 82.8.2.37: For 3538, let f(x) = sin(2x) and g(x) = cos(2x). Find a possible fo...
 82.8.2.38: For 3538, let f(x) = sin(2x) and g(x) = cos(2x). Find a possible fo...
 82.8.2.39: A company sells S(t) thousand electric blankets in month t (with t ...
 82.8.2.40: The pressure, P (in lbs/ft2), in a pipe varies over time. Five time...
 82.8.2.41: A flight from La Guardia Airport in New York City to Logan Airport ...
 82.8.2.42: (a) Graph the data in Table 8.2, which gives the population, P, in ...
 82.8.2.43: Table 8.3 shows the average daily maximum temperature in degrees Fa...
 82.8.2.44: Table 8.4 gives US petroleum imports, P, in quadrillion BTUs, for t...
 82.8.2.45: The website arXiv.org is used by scientists to share research paper...
 82.8.2.46: Let f be a function defined for all real numbers. (a) Is f(sin t) a...
Solutions for Chapter 82: SINUSOIDAL FUNCTIONS AND THEIR GRAPHS
Full solutions for Functions Modeling Change: A Preparation for Calculus  4th Edition
ISBN: 9780470484753
Solutions for Chapter 82: SINUSOIDAL FUNCTIONS AND THEIR GRAPHS
Get Full SolutionsFunctions Modeling Change: A Preparation for Calculus was written by and is associated to the ISBN: 9780470484753. Since 46 problems in chapter 82: SINUSOIDAL FUNCTIONS AND THEIR GRAPHS have been answered, more than 26269 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Functions Modeling Change: A Preparation for Calculus , edition: 4. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 82: SINUSOIDAL FUNCTIONS AND THEIR GRAPHS includes 46 full stepbystep solutions.

Causation
A relationship between two variables in which the values of the response variable are directly affected by the values of the explanatory variable

Closed interval
An interval that includes its endpoints

Divisor of a polynomial
See Division algorithm for polynomials.

equation of a quadratic function
ƒ(x) = ax 2 + bx + c(a ? 0)

Focal width of a parabola
The length of the chord through the focus and perpendicular to the axis.

Graph of a function ƒ
The set of all points in the coordinate plane corresponding to the pairs (x, ƒ(x)) for x in the domain of ƒ.

Imaginary axis
See Complex plane.

Increasing on an interval
A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.

Linear inequality in x
An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0

Linear system
A system of linear equations

Local maximum
A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

Logistic growth function
A model of population growth: ƒ1x2 = c 1 + a # bx or ƒ1x2 = c1 + aekx, where a, b, c, and k are positive with b < 1. c is the limit to growth

Modified boxplot
A boxplot with the outliers removed.

Natural logarithmic regression
A procedure for fitting a logarithmic curve to a set of data.

Number line graph of a linear inequality
The graph of the solutions of a linear inequality (in x) on a number line

Numerical derivative of ƒ at a
NDER f(a) = ƒ1a + 0.0012  ƒ1a  0.00120.002

Replication
The principle of experimental design that minimizes the effects of chance variation by repeating the experiment multiple times.

Vector
An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.

Vertical line test
A test for determining whether a graph is a function.

Ymax
The yvalue of the top of the viewing window.