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# Solutions for Chapter 12: VECTORS AND MATRICES

## Full solutions for Functions Modeling Change: A Preparation for Calculus | 4th Edition

ISBN: 9780470484753

Solutions for Chapter 12: VECTORS AND MATRICES

Solutions for Chapter 12
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##### ISBN: 9780470484753

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Functions Modeling Change: A Preparation for Calculus , edition: 4. Since 37 problems in chapter 12: VECTORS AND MATRICES have been answered, more than 39545 students have viewed full step-by-step solutions from this chapter. Chapter 12: VECTORS AND MATRICES includes 37 full step-by-step solutions. Functions Modeling Change: A Preparation for Calculus was written by and is associated to the ISBN: 9780470484753.

Key Calculus Terms and definitions covered in this textbook
• Annual percentage yield (APY)

The rate that would give the same return if interest were computed just once a year

• Augmented matrix

A matrix that represents a system of equations.

• Base

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

• Cofunction identity

An identity that relates the sine, secant, or tangent to the cosine, cosecant, or cotangent, respectively

• Commutative properties

a + b = b + a ab = ba

• Compound fraction

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

• Difference identity

An identity involving a trigonometric function of u - v

• Direction angle of a vector

The angle that the vector makes with the positive x-axis

• Discriminant

For the equation ax 2 + bx + c, the expression b2 - 4ac; for the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, the expression B2 - 4AC

• Division algorithm for polynomials

Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

• Focal length of a parabola

The directed distance from the vertex to the focus.

• Linear regression

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

• Mode of a data set

The category or number that occurs most frequently in the set.

• NDER ƒ(a)

See Numerical derivative of ƒ at x = a.

• Rational zeros theorem

A procedure for finding the possible rational zeros of a polynomial.

• Real zeros

Zeros of a function that are real numbers.

• Regression model

An equation found by regression and which can be used to predict unknown values.

• Symmetric matrix

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

• Trigonometric form of a complex number

r(cos ? + i sin ?)

• x-axis

Usually the horizontal coordinate line in a Cartesian coordinate system with positive direction to the right,.