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# Solutions for Chapter 3.11: Linear Approximations and Differentials ## Full solutions for Calculus, | 5th Edition

ISBN: 9780534393397 Solutions for Chapter 3.11: Linear Approximations and Differentials

Solutions for Chapter 3.11
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##### ISBN: 9780534393397

Calculus, was written by and is associated to the ISBN: 9780534393397. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus,, edition: 5. Chapter 3.11: Linear Approximations and Differentials includes 50 full step-by-step solutions. Since 50 problems in chapter 3.11: Linear Approximations and Differentials have been answered, more than 45095 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Angle between vectors

The angle formed by two nonzero vectors sharing a common initial point

• Arccosecant function

See Inverse cosecant function.

• Difference of complex numbers

(a + bi) - (c + di) = (a - c) + (b - d)i

• Elimination method

A method of solving a system of linear equations

• Function

A relation that associates each value in the domain with exactly one value in the range.

• Intercept

Point where a curve crosses the x-, y-, or z-axis in a graph.

• Inverse variation

See Power function.

See Polynomial function in x

• Midpoint (on a number line)

For the line segment with endpoints a and b, a + b2

• Ordered pair

A pair of real numbers (x, y), p. 12.

• Partial sums

See Sequence of partial sums.

• Position vector of the point (a, b)

The vector <a,b>.

• Probability simulation

A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

• Product of matrices A and B

The matrix in which each entry is obtained by multiplying the entries of a row of A by the corresponding entries of a column of B and then adding

• Randomization

The principle of experimental design that makes it possible to use the laws of probability when making inferences.

• Reference triangle

For an angle ? in standard position, a reference triangle is a triangle formed by the terminal side of angle ?, the x-axis, and a perpendicular dropped from a point on the terminal side to the x-axis. The angle in a reference triangle at the origin is the reference angle

• Scalar

A real number.

• Standard form: equation of a circle

(x - h)2 + (y - k2) = r 2

• Triangular number

A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

• Viewing window

The rectangular portion of the coordinate plane specified by the dimensions [Xmin, Xmax] by [Ymin, Ymax].

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