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# Solutions for Chapter 3.7: University Calculus: Early Transcendentals 2nd Edition ## Full solutions for University Calculus: Early Transcendentals | 2nd Edition

ISBN: 9780321717399 Solutions for Chapter 3.7

Solutions for Chapter 3.7
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##### ISBN: 9780321717399

This textbook survival guide was created for the textbook: University Calculus: Early Transcendentals , edition: 2. Since 62 problems in chapter 3.7 have been answered, more than 58398 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321717399. Chapter 3.7 includes 62 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Branches

The two separate curves that make up a hyperbola

• Cardioid

A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

• Characteristic polynomial of a square matrix A

det(xIn - A), where A is an n x n matrix

• Dihedral angle

An angle formed by two intersecting planes,

• Domain of validity of an identity

The set of values of the variable for which both sides of the identity are defined

• Factored form

The left side of u(v + w) = uv + uw.

• Five-number summary

The minimum, first quartile, median, third quartile, and maximum of a data set.

• Index

• Infinite discontinuity at x = a

limx:a + x a ƒ(x) = q6 or limx:a - ƒ(x) = q.

• Invertible linear system

A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

• Lemniscate

A graph of a polar equation of the form r2 = a2 sin 2u or r 2 = a2 cos 2u.

• Natural logarithmic function

The inverse of the exponential function y = ex, denoted by y = ln x.

• Parallel lines

Two lines that are both vertical or have equal slopes.

• 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.

• Polar coordinates

The numbers (r, ?) that determine a point’s location in a polar coordinate system. The number r is the directed distance and ? is the directed angle

• Positive angle

Angle generated by a counterclockwise rotation.

• Real part of a complex number

See Complex number.

• Solve a triangle

To find one or more unknown sides or angles of a triangle

• Vertical component

See Component form of a vector.

• x-axis

Usually the horizontal coordinate line in a Cartesian coordinate system with positive direction to the right,.

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