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# Solutions for Chapter 4.8: Linear Approximation and Error Propagation ## Full solutions for Calculus For Biology and Medicine (Calculus for Life Sciences Series) | 3rd Edition

ISBN: 9780321644688 Solutions for Chapter 4.8: Linear Approximation and Error Propagation

Solutions for Chapter 4.8
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##### ISBN: 9780321644688

Chapter 4.8: Linear Approximation and Error Propagation includes 49 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus For Biology and Medicine (Calculus for Life Sciences Series), edition: 3. Calculus For Biology and Medicine (Calculus for Life Sciences Series) was written by and is associated to the ISBN: 9780321644688. Since 49 problems in chapter 4.8: Linear Approximation and Error Propagation have been answered, more than 21342 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Additive inverse of a complex number

The opposite of a + bi, or -a - bi

• Average rate of change of ƒ over [a, b]

The number ƒ(b) - ƒ(a) b - a, provided a ? b.

• Circle

A set of points in a plane equally distant from a fixed point called the center

• Constant

A letter or symbol that stands for a specific number,

• equation of a hyperbola

(x - h)2 a2 - (y - k)2 b2 = 1 or (y - k)2 a2 - (x - h)2 b2 = 1

• Equilibrium price

See Equilibrium point.

• First-degree equation in x , y, and z

An equation that can be written in the form.

• Limaçon

A graph of a polar equation r = a b sin u or r = a b cos u with a > 0 b > 0

• Mean (of a set of data)

The sum of all the data divided by the total number of items

• Multiplicity

The multiplicity of a zero c of a polynomial ƒ(x) of degree n > 0 is the number of times the factor (x - c) (x - z 2) Á (x - z n)

• Natural logarithmic regression

A procedure for fitting a logarithmic curve to a set of data.

• 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.

• Polar coordinate system

A coordinate system whose ordered pair is based on the directed distance from a central point (the pole) and the angle measured from a ray from the pole (the polar axis)

• Probability function

A function P that assigns a real number to each outcome O in a sample space satisfying: 0 … P1O2 … 1, P12 = 0, and the sum of the probabilities of all outcomes is 1.

• Remainder theorem

If a polynomial f(x) is divided by x - c , the remainder is ƒ(c)

• Second

Angle measure equal to 1/60 of a minute.

• Semimajor axis

The distance from the center to a vertex of an ellipse.

• Subtraction

a - b = a + (-b)

• Variable

A letter that represents an unspecified number.

• z-axis

Usually the third dimension in Cartesian space.

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