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# Solutions for Chapter 4.9: Antiderivatives ## Full solutions for Calculus: Early Transcendentals | 7th Edition

ISBN: 9780538497909 Solutions for Chapter 4.9: Antiderivatives

Solutions for Chapter 4.9
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##### ISBN: 9780538497909

This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 7. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780538497909. Since 1 problems in chapter 4.9: Antiderivatives have been answered, more than 33466 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 4.9: Antiderivatives includes 1 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Angle of depression

The acute angle formed by the line of sight (downward) and the horizontal

• Cubic

A degree 3 polynomial function

• Directrix of a parabola, ellipse, or hyperbola

A line used to determine the conic

• Dot product

The number found when the corresponding components of two vectors are multiplied and then summed

• Elements of a matrix

See Matrix element.

• Fundamental

Theorem of Algebra A polynomial function of degree has n complex zeros (counting multiplicity).

• Horizontal translation

A shift of a graph to the left or right.

• Imaginary part of a complex number

See Complex number.

• Invertible linear system

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

• Irreducible quadratic over the reals

A quadratic polynomial with real coefficients that cannot be factored using real coefficients.

• Linear regression

A procedure for finding the straight line that is the best fit for the data

• Local extremum

A local maximum or a local minimum

• Matrix, m x n

A rectangular array of m rows and n columns of real numbers

• Natural logarithmic function

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

• Periodic function

A function ƒ for which there is a positive number c such that for every value t in the domain of ƒ. The smallest such number c is the period of the function.

• Power-reducing identity

A trigonometric identity that reduces the power to which the trigonometric functions are raised.

• Random numbers

Numbers that can be used by researchers to simulate randomness in scientific studies (they are usually obtained from lengthy tables of decimal digits that have been generated by verifiably random natural phenomena).

• Right triangle

A triangle with a 90° angle.

• Semiperimeter of a triangle

One-half of the sum of the lengths of the sides of a triangle.

• Spiral of Archimedes

The graph of the polar curve.

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