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# Solutions for Chapter 4.10: Antiderivatives

## Full solutions for Calculus, | 5th Edition

ISBN: 9780534393397

Solutions for Chapter 4.10: Antiderivatives

Solutions for Chapter 4.10
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##### ISBN: 9780534393397

Calculus, was written by and is associated to the ISBN: 9780534393397. Since 79 problems in chapter 4.10: Antiderivatives have been answered, more than 45029 students have viewed full step-by-step solutions from this chapter. Chapter 4.10: Antiderivatives includes 79 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus,, edition: 5. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Average rate of change of ƒ over [a, b]

The number ƒ(b) - ƒ(a) b - a, provided a ? b.

• Base

See Exponential function, Logarithmic function, nth power of a.

• Closed interval

An interval that includes its endpoints

• Elementary row operations

The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row

• Elimination method

A method of solving a system of linear equations

• equation of a hyperbola

(x - h)2 a2 - (y - k)2 b2 = 1 or (y - k)2 a2 - (x - h)2 b2 = 1

• Focal length of a parabola

The directed distance from the vertex to the focus.

• Hyperbola

A set of points in a plane, the absolute value of the difference of whose distances from two fixed points (the foci) is a constant.

• Imaginary part of a complex number

See Complex number.

• Mathematical model

A mathematical structure that approximates phenomena for the purpose of studying or predicting their behavior

• Multiplicity

The multiplicity of a zero c of a polynomial ƒ(x) of degree n > 0 is the number of times the factor (x - c) (x - z 2) Á (x - z n)

• Nappe

See Right circular cone.

• Opposite

See Additive inverse of a real number and Additive inverse of a complex number.

• 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

• Sequence

See Finite sequence, Infinite sequence.

• Spiral of Archimedes

The graph of the polar curve.

• Tangent line of ƒ at x = a

The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

• Upper bound test for real zeros

A test for finding an upper bound for the real zeros of a polynomial.

• Variation

See Power function.

• Vertices of a hyperbola

The points where a hyperbola intersects the line containing its foci.

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