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# Solutions for Chapter 4.1: Extrema on an Interval ## Full solutions for Calculus: Early Transcendental Functions | 4th Edition

ISBN: 9780618606245 Solutions for Chapter 4.1: Extrema on an Interval

Solutions for Chapter 4.1
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##### ISBN: 9780618606245

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 4.1: Extrema on an Interval includes 75 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions , edition: 4. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9780618606245. Since 75 problems in chapter 4.1: Extrema on an Interval have been answered, more than 41563 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Direction of an arrow

The angle the arrow makes with the positive x-axis

• DMS measure

The measure of an angle in degrees, minutes, and seconds

• Exponential decay function

Decay modeled by ƒ(x) = a ? bx, a > 0 with 0 < b < 1.

• Inverse variation

See Power function.

See Polynomial function in x.

• Leaf

The final digit of a number in a stemplot.

• Line of symmetry

A line over which a graph is the mirror image of itself

• Linear function

A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

• Linear programming problem

A method of solving certain problems involving maximizing or minimizing a function of two variables (called an objective function) subject to restrictions (called constraints)

• Matrix, m x n

A rectangular array of m rows and n columns of real numbers

• Midpoint (in a coordinate plane)

For the line segment with endpoints (a,b) and (c,d), (aa + c2 ,b + d2)

• Modulus

See Absolute value of a complex number.

• Probability simulation

A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

• Rational function

Function of the form ƒ(x)/g(x) where ƒ(x) and g(x) are polynomials and g(x) is not the zero polynomial.

• Stemplot (or stem-and-leaf plot)

An arrangement of a numerical data set into a specific tabular format.

• Unbounded interval

An interval that extends to -? or ? (or both).

• Vertex form for a quadratic function

ƒ(x) = a(x - h)2 + k

• Vertical line test

A test for determining whether a graph is a function.

• Work

The product of a force applied to an object over a given distance W = ƒFƒ ƒAB!ƒ.

• y-axis

Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.

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