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# Solutions for Chapter 6: Single Variable Calculus 7th Edition ## Full solutions for Single Variable Calculus | 7th Edition

ISBN: 9780538497831 Solutions for Chapter 6

Solutions for Chapter 6
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##### ISBN: 9780538497831

Chapter 6 includes 114 full step-by-step solutions. Since 114 problems in chapter 6 have been answered, more than 5465 students have viewed full step-by-step solutions from this chapter. Single Variable Calculus was written by and is associated to the ISBN: 9780538497831. This textbook survival guide was created for the textbook: Single Variable Calculus, edition: 7. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Arc length formula

The length of an arc in a circle of radius r intercepted by a central angle of u radians is s = r u.

• Continuous at x = a

lim x:a x a ƒ(x) = ƒ(a)

• Gaussian curve

See Normal curve.

• Head minus tail (HMT) rule

An arrow with initial point (x1, y1 ) and terminal point (x2, y2) represents the vector <8x 2 - x 1, y2 - y19>

• Horizontal shrink or stretch

See Shrink, stretch.

• Inequality

A statement that compares two quantities using an inequality symbol

• Interval

Connected subset of the real number line with at least two points, p. 4.

• Interval notation

Notation used to specify intervals, pp. 4, 5.

• Length of an arrow

See Magnitude of an arrow.

• nth root of unity

A complex number v such that vn = 1

• One-to-one function

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.

• Perihelion

The closest point to the Sun in a planet’s orbit.

• Plane in Cartesian space

The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.

• Polynomial function

A function in which ƒ(x)is a polynomial in x, p. 158.

• Present value of an annuity T

he net amount of your money put into an annuity.

• Slope

Ratio change in y/change in x

• Statistic

A number that measures a quantitative variable for a sample from a population.

• Unbounded interval

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

• y-intercept

A point that lies on both the graph and the y-axis.

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