 4.8.1: In 110, use the formula f (x) f (a) + f (a)(x a) to approximate the...
 4.8.2: In 110, use the formula f (x) f (a) + f (a)(x a) to approximate the...
 4.8.3: In 110, use the formula f (x) f (a) + f (a)(x a) to approximate the...
 4.8.4: In 110, use the formula f (x) f (a) + f (a)(x a) to approximate the...
 4.8.5: In 110, use the formula f (x) f (a) + f (a)(x a) to approximate the...
 4.8.6: In 110, use the formula f (x) f (a) + f (a)(x a) to approximate the...
 4.8.7: In 110, use the formula f (x) f (a) + f (a)(x a) to approximate the...
 4.8.8: In 110, use the formula f (x) f (a) + f (a)(x a) to approximate the...
 4.8.9: In 110, use the formula f (x) f (a) + f (a)(x a) to approximate the...
 4.8.10: In 110, use the formula f (x) f (a) + f (a)(x a) to approximate the...
 4.8.11: In 1130, approximate f (x) at a by the linear approximation f (x) =...
 4.8.12: In 1130, approximate f (x) at a by the linear approximation f (x) =...
 4.8.13: In 1130, approximate f (x) at a by the linear approximation f (x) =...
 4.8.14: In 1130, approximate f (x) at a by the linear approximation f (x) =...
 4.8.15: In 1130, approximate f (x) at a by the linear approximation f (x) =...
 4.8.16: In 1130, approximate f (x) at a by the linear approximation f (x) =...
 4.8.17: In 1130, approximate f (x) at a by the linear approximation f (x) =...
 4.8.18: In 1130, approximate f (x) at a by the linear approximation f (x) =...
 4.8.19: In 1130, approximate f (x) at a by the linear approximation f (x) =...
 4.8.20: In 1130, approximate f (x) at a by the linear approximation f (x) =...
 4.8.21: In 1130, approximate f (x) at a by the linear approximation f (x) =...
 4.8.22: In 1130, approximate f (x) at a by the linear approximation f (x) =...
 4.8.23: In 1130, approximate f (x) at a by the linear approximation f (x) =...
 4.8.24: In 1130, approximate f (x) at a by the linear approximation f (x) =...
 4.8.25: In 1130, approximate f (x) at a by the linear approximation f (x) =...
 4.8.26: In 1130, approximate f (x) at a by the linear approximation f (x) =...
 4.8.27: In 1130, approximate f (x) at a by the linear approximation f (x) =...
 4.8.28: In 1130, approximate f (x) at a by the linear approximation f (x) =...
 4.8.29: In 1130, approximate f (x) at a by the linear approximation f (x) =...
 4.8.30: In 1130, approximate f (x) at a by the linear approximation f (x) =...
 4.8.31: Population Growth Suppose that the per capita growth rate of a popu...
 4.8.32: Population Growth Suppose that the per capita growth rate of a popu...
 4.8.33: Plant Biomass Suppose that the specific growth rate of a plant is 1...
 4.8.34: Plant Biomass Suppose that a certain plant is grown along a gradien...
 4.8.35: In 3540, a measurement error in x affects the accuracy of the value...
 4.8.36: In 3540, a measurement error in x affects the accuracy of the value...
 4.8.37: In 3540, a measurement error in x affects the accuracy of the value...
 4.8.38: In 3540, a measurement error in x affects the accuracy of the value...
 4.8.39: In 3540, a measurement error in x affects the accuracy of the value...
 4.8.40: In 3540, a measurement error in x affects the accuracy of the value...
 4.8.41: In 4144, assume that the measurement of x is accurate within 2%. In...
 4.8.42: In 4144, assume that the measurement of x is accurate within 2%. In...
 4.8.43: In 4144, assume that the measurement of x is accurate within 2%. In...
 4.8.44: In 4144, assume that the measurement of x is accurate within 2%. In...
 4.8.45: The volume V of a spherical cell of radius r is given by V(r ) = 4 ...
 4.8.46: Poiseuilles Law The speed v of blood flowing along the central axis...
 4.8.47: Allometric Growth Suppose that you are studying reproduction in mos...
 4.8.48: Tilmans Resource Model Suppose that the rate of growth of a plant i...
 4.8.49: Chemical Reaction The reaction rate R(x) of the irreversible reacti...
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
Get Full SolutionsChapter 4.8: Linear Approximation and Error Propagation includes 49 full stepbystep 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 stepbystep solutions from this chapter.

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.

Firstdegree 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.

zaxis
Usually the third dimension in Cartesian space.