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# Solutions for Chapter 1.6: THE NATURAL LOGARITHM

## Full solutions for Applied Calculus | 5th Edition

ISBN: 9781118174920

Solutions for Chapter 1.6: THE NATURAL LOGARITHM

Solutions for Chapter 1.6
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##### ISBN: 9781118174920

Applied Calculus was written by Patricia and is associated to the ISBN: 9781118174920. This expansive textbook survival guide covers the following chapters and their solutions. Since 48 problems in chapter 1.6: THE NATURAL LOGARITHM have been answered, more than 6961 students have viewed full step-by-step solutions from this chapter. Chapter 1.6: THE NATURAL LOGARITHM includes 48 full step-by-step solutions. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5.

Key Calculus Terms and definitions covered in this textbook
• Bearing

Measure of the clockwise angle that the line of travel makes with due north

• De Moivre’s theorem

(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

• Degree

Unit of measurement (represented by the symbol ) for angles or arcs, equal to 1/360 of a complete revolution

• Elements of a matrix

See Matrix element.

• Exponential form

An equation written with exponents instead of logarithms.

• Half-life

The amount of time required for half of a radioactive substance to decay.

• Inverse sine function

The function y = sin-1 x

• Length of a vector

See Magnitude of a vector.

• Multiplicative inverse of a complex number

The reciprocal of a + bi, or 1 a + bi = a a2 + b2- ba2 + b2 i

• nth power of a

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

• Ordinary annuity

An annuity in which deposits are made at the same time interest is posted.

• Parabola

The graph of a quadratic function, or the set of points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

• Polar coordinates

The numbers (r, ?) that determine a point’s location in a polar coordinate system. The number r is the directed distance and ? is the directed angle

• Polar equation

An equation in r and ?.

• RRAM

A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the right-hand end point of each subinterval.

A graph in which (x, -y) is on the graph whenever (x, y) is; or a graph in which (r, -?) or (-r, ?, -?) is on the graph whenever (r, ?) is

• Third quartile

See Quartile.

• Union of two sets A and B

The set of all elements that belong to A or B or both.

• Upper bound for real zeros

A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.

• Vector equation for a line in space

The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.

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