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Solutions for Chapter 3.9: Differentials

Full solutions for Calculus of A Single Variable | 7th Edition

ISBN: 9780618149162

Solutions for Chapter 3.9: Differentials

Solutions for Chapter 3.9
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ISBN: 9780618149162

This textbook survival guide was created for the textbook: Calculus of A Single Variable, edition: 7. Chapter 3.9: Differentials includes 56 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 56 problems in chapter 3.9: Differentials have been answered, more than 23679 students have viewed full step-by-step solutions from this chapter. Calculus of A Single Variable was written by and is associated to the ISBN: 9780618149162.

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

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

• Annual percentage rate (APR)

The annual interest rate

• Arccosine function

See Inverse cosine function.

• Exponential growth function

Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

• Half-plane

The graph of the linear inequality y ? ax + b, y > ax + b y ? ax + b, or y < ax + b.

• Initial point

See Arrow.

• Invertible linear system

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

• Local maximum

A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

• Nautical mile

Length of 1 minute of arc along the Earth’s equator.

• nth power of a

The number with n factors of a , where n is the exponent and a is the base.

• nth root of a complex number z

A complex number v such that vn = z

• Order of magnitude (of n)

log n.

• Permutations of n objects taken r at a time

There are nPr = n!1n - r2! such permutations

• Sequence of partial sums

The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

• Shrink of factor c

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal shrink) by the constant 1/c or all of the y-coordinates (vertical shrink) by the constant c, 0 < c < 1.

• Sinusoidal regression

A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

• Slope

Ratio change in y/change in x

• Triangular number

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

• Upper bound test for real zeros

A test for finding an upper bound for the real zeros of a polynomial.

• Variable (in statistics)

A characteristic of individuals that is being identified or measured.

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