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# Solutions for Chapter 9-4: Reduction Formulas and Computer Algebra Systems ## Full solutions for Calculus: Concepts and Applications | 2nd Edition

ISBN: 9781559536547 Solutions for Chapter 9-4: Reduction Formulas and Computer Algebra Systems

Solutions for Chapter 9-4
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##### ISBN: 9781559536547

Chapter 9-4: Reduction Formulas and Computer Algebra Systems includes 34 full step-by-step solutions. Since 34 problems in chapter 9-4: Reduction Formulas and Computer Algebra Systems have been answered, more than 21640 students have viewed full step-by-step solutions from this chapter. Calculus: Concepts and Applications was written by and is associated to the ISBN: 9781559536547. This textbook survival guide was created for the textbook: Calculus: Concepts and Applications, edition: 2. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Acute triangle

A triangle in which all angles measure less than 90°

• Branches

The two separate curves that make up a hyperbola

• Constant

A letter or symbol that stands for a specific number,

• Descriptive statistics

The gathering and processing of numerical information

• Equivalent arrows

Arrows that have the same magnitude and direction.

• Equivalent vectors

Vectors with the same magnitude and direction.

• Initial point

See Arrow.

• Logistic growth function

A model of population growth: ƒ1x2 = c 1 + a # bx or ƒ1x2 = c1 + ae-kx, where a, b, c, and k are positive with b < 1. c is the limit to growth

• nth root of a complex number z

A complex number v such that vn = z

• One-to-one rule of logarithms

x = y if and only if logb x = logb y.

• Partial fraction decomposition

See Partial fractions.

• Power function

A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

• Probability function

A function P that assigns a real number to each outcome O in a sample space satisfying: 0 … P1O2 … 1, P12 = 0, and the sum of the probabilities of all outcomes is 1.

• Proportional

See Power function

• Residual

The difference y1 - (ax 1 + b), where (x1, y1)is a point in a scatter plot and y = ax + b is a line that fits the set of data.

• Statistic

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

• Symmetric matrix

A matrix A = [aij] with the property aij = aji for all i and j

• Unit vector in the direction of a vector

A unit vector that has the same direction as the given vector.

• Velocity

A vector that specifies the motion of an object in terms of its speed and direction.

• y-coordinate

The directed distance from the x-axis xz-plane to a point in a plane (space), or the second number in an ordered pair (triple), pp. 12, 629.

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