 7.7.1: In Exercises 124, Imd the derivative of y with respect to the appr...
 7.7.2: In Exercises 124, Imd the derivative of y with respect to the appr...
 7.7.3: In Exercises 124, Imd the derivative of y with respect to the appr...
 7.7.4: In Exercises 124, Imd the derivative of y with respect to the appr...
 7.7.5: In Exercises 124, Imd the derivative of y with respect to the appr...
 7.7.6: In Exercises 124, Imd the derivative of y with respect to the appr...
 7.7.7: In Exercises 124, Imd the derivative of y with respect to the appr...
 7.7.8: In Exercises 124, Imd the derivative of y with respect to the appr...
 7.7.9: In Exercises 124, Imd the derivative of y with respect to the appr...
 7.7.10: In Exercises 124, Imd the derivative of y with respect to the appr...
 7.7.11: In Exercises 124, Imd the derivative of y with respect to the appr...
 7.7.12: In Exercises 124, Imd the derivative of y with respect to the appr...
 7.7.13: In Exercises 124, Imd the derivative of y with respect to the appr...
 7.7.14: In Exercises 124, Imd the derivative of y with respect to the appr...
 7.7.15: In Exercises 124, Imd the derivative of y with respect to the appr...
 7.7.16: In Exercises 124, Imd the derivative of y with respect to the appr...
 7.7.17: In Exercises 124, Imd the derivative of y with respect to the appr...
 7.7.18: In Exercises 124, Imd the derivative of y with respect to the appr...
 7.7.19: In Exercises 124, Imd the derivative of y with respect to the appr...
 7.7.20: In Exercises 124, Imd the derivative of y with respect to the appr...
 7.7.21: In Exercises 124, Imd the derivative of y with respect to the appr...
 7.7.22: In Exercises 124, Imd the derivative of y with respect to the appr...
 7.7.23: In Exercises 124, Imd the derivative of y with respect to the appr...
 7.7.24: In Exercises 124, Imd the derivative of y with respect to the appr...
 7.7.25: In Exercises 2530, use 10gari1hmic differentiation to Imd the der...
 7.7.26: In Exercises 2530, use 10gari1hmic differentiation to Imd the der...
 7.7.27: In Exercises 2530, use 10gari1hmic differentiation to Imd the der...
 7.7.28: In Exercises 2530, use 10gari1hmic differentiation to Imd the der...
 7.7.29: In Exercises 2530, use 10gari1hmic differentiation to Imd the der...
 7.7.30: In Exercises 2530, use 10gari1hmic differentiation to Imd the der...
 7.7.31: Evaluate the integrals in Exercises 3178. j e% sin (e") fix
 7.7.32: Evaluate the integrals in Exercises 3178. j e' cos (3e'  2) dl
 7.7.33: Evaluate the integrals in Exercises 3178. j e% sec2 (e%  7) fix
 7.7.34: Evaluate the integrals in Exercises 3178. j eY csc (eY + 1) cot (e...
 7.7.35: Evaluate the integrals in Exercises 3178. see> (x)e"'" fix
 7.7.36: Evaluate the integrals in Exercises 3178. j csc2 x e"''' fix
 7.7.37: Evaluate the integrals in Exercises 3178. Llt~4
 7.7.38: Evaluate the integrals in Exercises 3178. [~fix
 7.7.39: Evaluate the integrals in Exercises 3178. f tanffix
 7.7.40: Evaluate the integrals in Exercises 3178. (II' 2 cot '1fX fix
 7.7.41: Evaluate the integrals in Exercises 3178. J.'_2_I_ dl
 7.7.42: Evaluate the integrals in Exercises 3178. cos I dl ~/6",/2 1  sm t
 7.7.43: Evaluate the integrals in Exercises 3178. j tan (In v) v dv
 7.7.44: Evaluate the integrals in Exercises 3178. 4.j~ vlnv
 7.7.45: Evaluate the integrals in Exercises 3178. j (lnx)' xfix
 7.7.46: Evaluate the integrals in Exercises 3178. j ln(x  5)46. x 5 fix
 7.7.47: Evaluate the integrals in Exercises 3178. j }csc> (I + Inr) dr
 7.7.48: Evaluate the integrals in Exercises 3178. cos(Ilnv) v dv
 7.7.49: Evaluate the integrals in Exercises 3178. 3%' fix
 7.7.50: Evaluate the integrals in Exercises 3178. 2"'" see> x fix
 7.7.51: Evaluate the integrals in Exercises 3178. fix
 7.7.52: Evaluate the integrals in Exercises 3178. [2 ;x fix
 7.7.53: Evaluate the integrals in Exercises 3178. l' (~+ ~)dx
 7.7.54: Evaluate the integrals in Exercises 3178. 18(~  ~) dx
 7.7.55: Evaluate the integrals in Exercises 3178. 1e (>0+1) dx
 7.7.56: Evaluate the integrals in Exercises 3178. 10e2w dw
 7.7.57: Evaluate the integrals in Exercises 3178. n5 e'(3e' + 1)'/2 dr
 7.7.58: Evaluate the integrals in Exercises 3178. .1n9 e'(e' _ 1)1/2 d6
 7.7.59: Evaluate the integrals in Exercises 3178. 1' ~ (1 + 7lnxtl/' dx
 7.7.60: Evaluate the integrals in Exercises 3178. "I dx" x~
 7.7.61: Evaluate the integrals in Exercises 3178. l' (In (v + I)'61. 1 v+1 dv
 7.7.62: Evaluate the integrals in Exercises 3178. 4(1 + 1n1)llnldl 81084 6...
 7.7.63: Evaluate the integrals in Exercises 3178. 81084 6 1 6d6
 7.7.64: Evaluate the integrals in Exercises 3178. 1'8ln310g,664'1 6 d6
 7.7.65: Evaluate the integrals in Exercises 3178. 1'/4 6dx65. :;:~~
 7.7.66: Evaluate the integrals in Exercises 3178. 11/5 6dx66. liS V 4  25x2
 7.7.67: Evaluate the integrals in Exercises 3178. 712~ _24+312
 7.7.68: Evaluate the integrals in Exercises 3178. {' ~ Jv'33 + 12
 7.7.69: Evaluate the integrals in Exercises 3178. dy yV4y2  I
 7.7.70: Evaluate the integrals in Exercises 3178. 24dy70. =r~== yVy2  16
 7.7.71: Evaluate the integrals in Exercises 3178. 2/3 dy71. :::r~=
 7.7.72: Evaluate the integrals in Exercises 3178. V.tVs dy :::,~== 2tVs...
 7.7.73: Evaluate the integrals in Exercises 3178. J dx V2xx2
 7.7.74: Evaluate the integrals in Exercises 3178. J dx Vx2 +4x1
 7.7.75: Evaluate the integrals in Exercises 3178. 11,~2~d~v_c: 2 V 2 ...
 7.7.76: Evaluate the integrals in Exercises 3178. 1 3 dv 1 4v2 + 4v + 4
 7.7.77: Evaluate the integrals in Exercises 3178. dl (I + I)VI2 + 21  8
 7.7.78: Evaluate the integrals in Exercises 3178. J dl (31 + I)V912 + 61
 7.7.79: In Exercises 7984, solve for y. 3" = 2"+1
 7.7.80: In Exercises 7984, solve for y. 4" = 3"+2
 7.7.81: In Exercises 7984, solve for y. ge'" = x2
 7.7.82: In Exercises 7984, solve for y. 3" = 3 Inx
 7.7.83: In Exercises 7984, solve for y. In (y  I) = x + Iny
 7.7.84: In Exercises 7984, solve for y. In (lOlny) = 1n5x
 7.7.85: Use I'HOpital's Rule to find the limits in Exercises 85108. x2+3x4 I
 7.7.86: Use I'HOpital's Rule to find the limits in Exercises 85108.
 7.7.87: Use I'HOpital's Rule to find the limits in Exercises 85108.
 7.7.88: Use I'HOpital's Rule to find the limits in Exercises 85108.
 7.7.89: Use I'HOpital's Rule to find the limits in Exercises 85108.
 7.7.90: Use I'HOpital's Rule to find the limits in Exercises 85108.
 7.7.91: Use I'HOpital's Rule to find the limits in Exercises 85108.
 7.7.92: Use I'HOpital's Rule to find the limits in Exercises 85108.
 7.7.93: Use I'HOpital's Rule to find the limits in Exercises 85108.
 7.7.94: Use I'HOpital's Rule to find the limits in Exercises 85108.
 7.7.95: Use I'HOpital's Rule to find the limits in Exercises 85108.
 7.7.96: Use I'HOpital's Rule to find the limits in Exercises 85108.
 7.7.97: Use I'HOpital's Rule to find the limits in Exercises 85108. lim lO...
 7.7.98: Use I'HOpital's Rule to find the limits in Exercises 85108. lim 3'...
 7.7.99: Use I'HOpital's Rule to find the limits in Exercises 85108. lim 2'...
 7.7.100: Use I'HOpital's Rule to find the limits in Exercises 85108. xo eXl
 7.7.101: Use I'HOpital's Rule to find the limits in Exercises 85108. lim 5 ...
 7.7.102: Use I'HOpital's Rule to find the limits in Exercises 85108.
 7.7.103: Use I'HOpital's Rule to find the limits in Exercises 85108. lim 2
 7.7.104: Use I'HOpital's Rule to find the limits in Exercises 85108.
 7.7.105: Use I'HOpital's Rule to find the limits in Exercises 85108.
 7.7.106: Use I'HOpital's Rule to find the limits in Exercises 85108.
 7.7.107: Use I'HOpital's Rule to find the limits in Exercises 85108. lim (e...
 7.7.108: Use I'HOpital's Rule to find the limits in Exercises 85108. (1+ ?)...
 7.7.109: Does f grow faster, slower, or at the same rate as g as x ..... oo?...
 7.7.110: Does f grow faster, slower, or at the same rate as g as x ..... oo?...
 7.7.111: True, or false? Give reasons for your answers. .. ~ + ~ = O(~) b. ~...
 7.7.112: Tme, or false? Give reasons for your answers. .. ~= x4 O(~+~) x 2 x...
 7.7.113: Thefimctioof(x) = eX + x,beingdifferentishleaodonetoone, has a di...
 7.7.114: Find the inverse of the fimctioof(x) = I + (I/x),x # O.Then showtha...
 7.7.115: In Exercises 115 and 116, fmd the absolure maximum and minimum valu...
 7.7.116: In Exercises 115 and 116, fmd the absolure maximum and minimum valu...
 7.7.117: Find the area between the curve y = 2(lnx)/x and the xaxis from x ...
 7.7.118: a. Show that the area hetweoo the curve y = I/x and the xaxis from...
 7.7.119: A particle is traveling upward and to the right along the curve y =...
 7.7.120: A girl is sliding dowo a slide shaped like the curve y = 9. xl3 . ...
 7.7.121: The rectangle shown here has one side 00 the positive yaxis, one s...
 7.7.122: The rectangle shown here has one side 00 the positive yaxis, one s...
 7.7.123: Graph the following functioos and use what you see to locate and es...
 7.7.124: Graph f(x) = x In x. Does the function appear to have an absolure m...
 7.7.125: In Exercises 125128 solve the differential equatioo fix = v'Ycos' vy
 7.7.126: In Exercises 125128 solve the differential equatioo y' = y I
 7.7.127: In Exercises 125128 solve the differential equatioo y.y' = secy' s...
 7.7.128: In Exercises 125128 solve the differential equatioo y cos' x dy + ...
 7.7.129: In Exercises 129132 solve the initial value problem. = .'Y', y(...
 7.7.130: In Exercises 129132 solve the initial value problem. dy ylny , fix...
 7.7.131: In Exercises 129132 solve the initial value problem. xdy  (y + v'...
 7.7.132: In Exercises 129132 solve the initial value problem. y' dyfix = ,...
 7.7.133: What is the age ofa sample of charcoal in which 90% of the carbon1...
 7.7.134: A deepdish apple pie, whose inrerna\ temperature was 2200f when re...
 7.7.135: You are under cootract to build a solar statioo at grouod level on ...
 7.7.136: A rouod underwater transmissioo cable consists of a core of copper ...
Solutions for Chapter 7: Transcendental Functions
Full solutions for Thomas' Calculus  12th Edition
ISBN: 9780321587992
Solutions for Chapter 7: Transcendental Functions
Get Full SolutionsThomas' Calculus was written by and is associated to the ISBN: 9780321587992. Chapter 7: Transcendental Functions includes 136 full stepbystep solutions. Since 136 problems in chapter 7: Transcendental Functions have been answered, more than 9132 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Thomas' Calculus, edition: 12.

Arccosecant function
See Inverse cosecant function.

Average velocity
The change in position divided by the change in time.

Blind experiment
An experiment in which subjects do not know if they have been given an active treatment or a placebo

Characteristic polynomial of a square matrix A
det(xIn  A), where A is an n x n matrix

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

Data
Facts collected for statistical purposes (singular form is datum)

Dependent variable
Variable representing the range value of a function (usually y)

Extraneous solution
Any solution of the resulting equation that is not a solution of the original equation.

Horizontal asymptote
The line is a horizontal asymptote of the graph of a function ƒ if lim x: q ƒ(x) = or lim x: q ƒ(x) = b

Inverse function
The inverse relation of a onetoone function.

Magnitude of a vector
The magnitude of <a, b> is 2a2 + b2. The magnitude of <a, b, c> is 2a2 + b2 + c2

n factorial
For any positive integer n, n factorial is n! = n.(n  1) . (n  2) .... .3.2.1; zero factorial is 0! = 1

Order of magnitude (of n)
log n.

Quadrantal angle
An angle in standard position whose terminal side lies on an axis.

Rational zeros theorem
A procedure for finding the possible rational zeros of a polynomial.

Reflexive property of equality
a = a

Sample standard deviation
The standard deviation computed using only a sample of the entire population.

Whole numbers
The numbers 0, 1, 2, 3, ... .

xintercept
A point that lies on both the graph and the xaxis,.

Zero matrix
A matrix consisting entirely of zeros.