Solutions for Chapter 4.9: Antiderivatives
Full solutions for Calculus: Early Transcendentals  7th Edition
ISBN: 9780538497909
Solutions for Chapter 4.9: Antiderivatives
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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.

Powerreducing 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
Onehalf of the sum of the lengths of the sides of a triangle.

Spiral of Archimedes
The graph of the polar curve.