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Solutions for Chapter 2: Calculus, 7th Edition

Full solutions for Calculus, | 7th Edition

ISBN: 9780538497817

Solutions for Chapter 2

Solutions for Chapter 2
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ISBN: 9780538497817

Since 87 problems in chapter 2 have been answered, more than 3720 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus,, edition: 7. Calculus, was written by Sieva Kozinsky and is associated to the ISBN: 9780538497817. Chapter 2 includes 87 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Cardioid

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

• Compound fraction

A fractional expression in which the numerator or denominator may contain fractions

• Compound interest

Interest that becomes part of the investment

• Direct variation

See Power function.

• Division

a b = aa 1 b b, b Z 0

• Equation

A statement of equality between two expressions.

• Explanatory variable

A variable that affects a response variable.

• Exponential regression

A procedure for fitting an exponential function to a set of data.

• Focal length of a parabola

The directed distance from the vertex to the focus.

• 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>

• Index of summation

See Summation notation.

• Left-hand limit of f at x a

The limit of ƒ as x approaches a from the left.

• Multiplication property of equality

If u = v and w = z, then uw = vz

• Ordered set

A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.

• Polar form of a complex number

See Trigonometric form of a complex number.

• Reciprocal of a real number

See Multiplicative inverse of a real number.

• Sample survey

A process for gathering data from a subset of a population, usually through direct questioning.

• Solve graphically

Use a graphical method, including use of a hand sketch or use of a grapher. When appropriate, the approximate solution should be confirmed algebraically

• Trichotomy property

For real numbers a and b, exactly one of the following is true: a < b, a = b , or a > b.

• z-axis

Usually the third dimension in Cartesian space.

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