 3.9.1: In Exercises 16, find the equation of the tangent line 7' to the S...
 3.9.2: In Exercises 16, find the equation of the tangent line 7' to the S...
 3.9.3: In Exercises 16, find the equation of the tangent line 7' to the S...
 3.9.4: In Exercises 16, find the equation of the tangent line 7' to the S...
 3.9.5: In Exercises 16, find the equation of the tangent line 7' to the S...
 3.9.6: In Exercises 16, find the equation of the tangent line 7' to the S...
 3.9.7: In Exercises 710, use the information to evaluate and compare Av a...
 3.9.8: In Exercises 710, use the information to evaluate and compare Av a...
 3.9.9: In Exercises 710, use the information to evaluate and compare Av a...
 3.9.10: In Exercises 710, use the information to evaluate and compare Av a...
 3.9.11: In Exercises 112(1, find the differential tly of the f;iven functi...
 3.9.12: In Exercises 112(1, find the differential tly of the f;iven functi...
 3.9.13: In Exercises 112(1, find the differential tly of the f;iven functi...
 3.9.14: In Exercises 112(1, find the differential tly of the f;iven functi...
 3.9.15: In Exercises 112(1, find the differential tly of the f;iven functi...
 3.9.16: In Exercises 112(1, find the differential tly of the f;iven functi...
 3.9.17: In Exercises 112(1, find the differential tly of the f;iven functi...
 3.9.18: In Exercises 112(1, find the differential tly of the f;iven functi...
 3.9.19: In Exercises 112(1, find the differential tly of the f;iven functi...
 3.9.20: In Exercises 112(1, find the differential tly of the f;iven functi...
 3.9.21: In Exercises 2124, use differentials and the yraph of / to approxi...
 3.9.22: In Exercises 2124, use differentials and the yraph of / to approxi...
 3.9.23: In Exercises 2124, use differentials and the yraph of / to approxi...
 3.9.24: In Exercises 2124, use differentials and the yraph of / to approxi...
 3.9.25: In Exercises 2528, use differentials and the graph of i; to approx...
 3.9.26: In Exercises 2528, use differentials and the graph of i; to approx...
 3.9.27: In Exercises 2528, use differentials and the graph of i; to approx...
 3.9.28: In Exercises 2528, use differentials and the graph of i; to approx...
 3.9.29: Area The measurement ot the side ot a '.qiiaic is luiind 10 be 12 i...
 3.9.30: Area The measurements of the base and altitude of a triangle are fo...
 3.9.31: Area The measurement ol the radius ol the end of a log is found to ...
 3.9.32: Volume and Surface Area The measurement ol the edge of a cube is fo...
 3.9.33: Area The iiicasincment of a side ol a square is lound to be 15 eent...
 3.9.34: Circumfercuce The nieasurenicnt of the circunilerenee of a circle i...
 3.9.35: \oliiiiie and Surfiite Area The radius of a sphere is measured to b...
 3.9.36: I'rofil 'file profit /' lor a compan\ is gi\en by P = (500.V  .V)...
 3.9.37: In Exercises 37 and 3.S. the thickness of the shell is (1.2 centime...
 3.9.38: In Exercises 37 and 3.S. the thickness of the shell is (1.2 centime...
 3.9.39: I'eiuliiluiii I he period ol a pendulum is gi\en by r= 2, where L ...
 3.9.40: Ohm's Imw A current of / amperes passes through a resistor of R ohm...
 3.9.41: Triaiii;le Measurements The measurement of one side of a right tria...
 3.9.42: Area Approximate the percent error in computing the area of the tri...
 3.9.43: I'rojeetile Motion The range R of a pioectile is R = ^(sin29) wher...
 3.9.44: Surveying A surveyor standing 50 feet from the base of a large tree...
 3.9.45: In Exercises 45tS, use differentials to approximate the value of th...
 3.9.46: In Exercises 45tS, use differentials to approximate the value of th...
 3.9.47: In Exercises 45tS, use differentials to approximate the value of th...
 3.9.48: In Exercises 45tS, use differentials to approximate the value of th...
 3.9.49: Wriliiif; In Exercises 49 and 50. give a short explanation of \thv ...
 3.9.50: Wriliiif; In Exercises 49 and 50. give a short explanation of \thv ...
 3.9.51: Descri he the change in accuracy of dy as an i pproximation for Ai ...
 3.9.52: When using differentia s. whal is meat t by tl e terms propagated e...
 3.9.53: True or False? In Exerci.ses 535h, determine whether the statement...
 3.9.54: True or False? In Exerci.ses 535h, determine whether the statement...
 3.9.55: True or False? In Exerci.ses 535h, determine whether the statement...
 3.9.56: True or False? In Exerci.ses 535h, determine whether the statement...
Solutions for Chapter 3.9: Differentials
Full solutions for Calculus of A Single Variable  7th Edition
ISBN: 9780618149162
Solutions for Chapter 3.9: Differentials
Get Full SolutionsThis textbook survival guide was created for the textbook: Calculus of A Single Variable, edition: 7. Chapter 3.9: Differentials includes 56 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 56 problems in chapter 3.9: Differentials have been answered, more than 23679 students have viewed full stepbystep solutions from this chapter. Calculus of A Single Variable was written by and is associated to the ISBN: 9780618149162.

Angle of elevation
The acute angle formed by the line of sight (upward) and the horizontal

Annual percentage rate (APR)
The annual interest rate

Arccosine function
See Inverse cosine function.

Exponential growth function
Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

Halfplane
The graph of the linear inequality y ? ax + b, y > ax + b y ? ax + b, or y < ax + b.

Initial point
See Arrow.

Invertible linear system
A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

Local maximum
A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

Nautical mile
Length of 1 minute of arc along the Earth’s equator.

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

nth root of a complex number z
A complex number v such that vn = z

Order of magnitude (of n)
log n.

Permutations of n objects taken r at a time
There are nPr = n!1n  r2! such permutations

Sequence of partial sums
The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

Shrink of factor c
A transformation of a graph obtained by multiplying all the xcoordinates (horizontal shrink) by the constant 1/c or all of the ycoordinates (vertical shrink) by the constant c, 0 < c < 1.

Sinusoidal regression
A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

Slope
Ratio change in y/change in x

Triangular number
A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

Upper bound test for real zeros
A test for finding an upper bound for the real zeros of a polynomial.

Variable (in statistics)
A characteristic of individuals that is being identified or measured.