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# Solutions for Chapter 4: Thomas' Calculus: Early Transcendentals 13th Edition ## Full solutions for Thomas' Calculus: Early Transcendentals | 13th Edition

ISBN: 9780321884077 Solutions for Chapter 4

Solutions for Chapter 4
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##### ISBN: 9780321884077

Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 4 includes 196 full step-by-step solutions. Since 196 problems in chapter 4 have been answered, more than 73864 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13.

Key Calculus Terms and definitions covered in this textbook
• Additive inverse of a complex number

The opposite of a + bi, or -a - bi

• Center

The central point in a circle, ellipse, hyperbola, or sphere

• Chord of a conic

A line segment with endpoints on the conic

• Discriminant

For the equation ax 2 + bx + c, the expression b2 - 4ac; for the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, the expression B2 - 4AC

• Frequency table (in statistics)

A table showing frequencies.

• Linear function

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

• Linear system

A system of linear equations

• Modulus

See Absolute value of a complex number.

• NINT (ƒ(x), x, a, b)

A calculator approximation to ?ab ƒ(x)dx

• Number line graph of a linear inequality

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

• Numerical model

A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.

• Parallel lines

Two lines that are both vertical or have equal slopes.

• Parametric curve

The graph of parametric equations.

• Real number line

A horizontal line that represents the set of real numbers.

• Reference triangle

For an angle ? in standard position, a reference triangle is a triangle formed by the terminal side of angle ?, the x-axis, and a perpendicular dropped from a point on the terminal side to the x-axis. The angle in a reference triangle at the origin is the reference angle

• Response variable

A variable that is affected by an explanatory variable.

• Transitive property

If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.

• Vertical asymptote

The line x = a is a vertical asymptote of the graph of the function ƒ if limx:a+ ƒ1x2 = q or lim x:a- ƒ1x2 = q.

• Xmin

The x-value of the left side of the viewing window,.

• xz-plane

The points x, 0, z in Cartesian space.

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