 3.11.1E: Find the linearizationFind the linearization
 3.11.2E: Find the linearizationFind the linearization
 3.11.3E: Find the linearizationFind the linearization
 3.11.4E: Find the linearizationFind the linearization
 3.11.5E: Find the linearizationFind the linearization
 3.11.6E: Finding LinearizationsCommon linear approximations at x = 0 Find th...
 3.11.7E: In Exercise, find a linearization at a suitably chosen integer near...
 3.11.8E: In Exercise, find a linearization at a suitably chosen integer near...
 3.11.9E: In Exercise, find a linearization at a suitably chosen integer near...
 3.11.10E: In Exercise, find a linearization at a suitably chosen integer near...
 3.11.11E: In Exercise, find a linearization at a suitably chosen integer near...
 3.11.12E: In Exercise, find a linearization at a suitably chosen integer near...
 3.11.13E: In Exercise, find a linearization at a suitably chosen integer near...
 3.11.14E: In Exercise, find a linearization at a suitably chosen integer near...
 3.11.15E: Linearization for ApproximationShow that the linearization of is L(...
 3.11.16E: Linearization for ApproximationUse the linear approximation to find...
 3.11.17E: Linearization for ApproximationFaster than a calculator Use the app...
 3.11.18E: Linearization for ApproximationFind the linearization of at x = 0.
 3.11.19E: Derivatives in Differential FormFind dy.
 3.11.20E: Derivatives in Differential FormFind dy.
 3.11.21E: Derivatives in Differential FormFind dy.
 3.11.22E: Derivatives in Differential FormFind dy.
 3.11.23E: Derivatives in Differential FormFind dy.
 3.11.24E: Derivatives in Differential FormFind dy.
 3.11.25E: Derivatives in Differential FormFind dy.
 3.11.26E: Derivatives in Differential FormFind dy.
 3.11.27E: Derivatives in Differential FormFind dy.
 3.11.28E: Derivatives in Differential FormFind dy.
 3.11.29E: Derivatives in Differential FormFind dy.
 3.11.30E: Derivatives in Differential FormFind dy.
 3.11.31E: Derivatives in Differential FormFind dy.
 3.11.32E: Derivatives in Differential FormFind dy.
 3.11.33E: Derivatives in Differential FormFind dy.
 3.11.34E: Derivatives in Differential FormFind dy.
 3.11.35E: Derivatives in Differential FormFind dy.
 3.11.36E: Derivatives in Differential FormFind dy.
 3.11.37E: Derivatives in Differential FormFind dy.
 3.11.38E: Derivatives in Differential FormFind dy.
 3.11.39E: Each function ƒ(x) changes value when x changes from Finda. the cha...
 3.11.40E: Each function ƒ(x) changes value when x changes from Finda. the cha...
 3.11.41E: Each function ƒ(x) changes value when x changes from Finda. the cha...
 3.11.42E: Each function ƒ(x) changes value when x changes from Finda. the cha...
 3.11.43E: Each function ƒ(x) changes value when x changes from Finda. the cha...
 3.11.44E: Each function ƒ(x) changes value when x changes from Finda. the cha...
 3.11.45E: Differential Estimates of ChangeWrite a differential formula that e...
 3.11.46E: Differential Estimates of ChangeWrite a differential formula that e...
 3.11.47E: Differential Estimates of ChangeWrite a differential formula that e...
 3.11.48E: Differential Estimates of ChangeThe change in the lateral surface a...
 3.11.49E: Differential Estimates of ChangeThe change in the volume of a right...
 3.11.50E: Differential Estimates of ChangeThe change in the lateral surface a...
 3.11.51E: ApplicationsThe radius of a circle is increased from 2.00 to 2.02 m...
 3.11.52E: ApplicationsThe diameter of a tree was 10 in. During the following ...
 3.11.53E: ApplicationsEstimating volume Estimate the volume of material in a ...
 3.11.54E: ApplicationsEstimating height of a building A surveyor, standing 30...
 3.11.55E: ApplicationsTolerance The radius r of a circle is measured with an ...
 3.11.56E: ApplicationsTolerance The edge x of a cube is measured with an erro...
 3.11.57E: ApplicationsTolerance The height and radius of a right circular cyl...
 3.11.58E: ApplicationsTolerancea. About how accurately must the interior diam...
 3.11.59E: ApplicationsThe diameter of a sphere is measured as 100 ±1 cm and t...
 3.11.60E: ApplicationsEstimate the allowable percentage error in measuring th...
 3.11.61E: ApplicationsThe effect of flight maneuvers on the heart The amount ...
 3.11.62E: Drug concentration The concentration C in milligrams per milliliter...
 3.11.63E: Unclogging arteries The formula , discovered by the physiologist Je...
 3.11.64E: ApplicationsMeasuring acceleration of gravity When the length L of ...
 3.11.65E: ApplicationsQuadratic approximationsa. Let be a quadratic approxima...
 3.11.66E: ApplicationsThe linearization is the best linear approximation Supp...
 3.11.67E: ApplicationsThe linearization of 2 xa. Find the linearization of Th...
 3.11.68E: ApplicationsThe linearization of a. Find the linearization of Then ...
 3.11.69E: COMPUTER EXPLORATIONSUse a CAS to estimate the magnitude of the err...
 3.11.70E: COMPUTER EXPLORATIONSUse a CAS to estimate the magnitude of the err...
 3.11.71E: COMPUTER EXPLORATIONSUse a CAS to estimate the magnitude of the err...
 3.11.72E: COMPUTER EXPLORATIONSUse a CAS to estimate the magnitude of the err...
 3.11.73E: COMPUTER EXPLORATIONSUse a CAS to estimate the magnitude of the err...
 3.11.74E: COMPUTER EXPLORATIONSUse a CAS to estimate the magnitude of the err...
Solutions for Chapter 3.11: Thomas' Calculus: Early Transcendentals 13th Edition
Full solutions for Thomas' Calculus: Early Transcendentals  13th Edition
ISBN: 9780321884077
Solutions for Chapter 3.11
Get Full SolutionsChapter 3.11 includes 74 full stepbystep solutions. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. Since 74 problems in chapter 3.11 have been answered, more than 67820 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13. This expansive textbook survival guide covers the following chapters and their solutions.

Algebraic model
An equation that relates variable quantities associated with phenomena being studied

Arctangent function
See Inverse tangent function.

Composition of functions
(f ? g) (x) = f (g(x))

Compound interest
Interest that becomes part of the investment

Continuous at x = a
lim x:a x a ƒ(x) = ƒ(a)

Dependent event
An event whose probability depends on another event already occurring

Exponential decay function
Decay modeled by ƒ(x) = a ? bx, a > 0 with 0 < b < 1.

Fivenumber summary
The minimum, first quartile, median, third quartile, and maximum of a data set.

Inductive step
See Mathematical induction.

Inverse cosine function
The function y = cos1 x

Limit
limx:aƒ1x2 = L means that ƒ(x) gets arbitrarily close to L as x gets arbitrarily close (but not equal) to a

Logarithmic form
An equation written with logarithms instead of exponents

Magnitude of an arrow
The magnitude of PQ is the distance between P and Q

Nappe
See Right circular cone.

Parameter interval
See Parametric equations.

Position vector of the point (a, b)
The vector <a,b>.

Rectangular coordinate system
See Cartesian coordinate system.

Sum of an infinite series
See Convergence of a series

Unit circle
A circle with radius 1 centered at the origin.

Vertices of a hyperbola
The points where a hyperbola intersects the line containing its foci.