 3.9.1: In Exercises 16, find the equation of the tangent line to the graph...
 3.9.2: In Exercises 16, find the equation of the tangent line to the graph...
 3.9.3: In Exercises 16, find the equation of the tangent line to the graph...
 3.9.4: In Exercises 16, find the equation of the tangent line to the graph...
 3.9.5: In Exercises 16, find the equation of the tangent line to the graph...
 3.9.6: In Exercises 16, find the equation of the tangent line to the graph...
 3.9.7: In Exercises 710, use the information to evaluate and compare and 2x2
 3.9.8: In Exercises 710, use the information to evaluate and compare and 2x2x
 3.9.9: In Exercises 710, use the information to evaluate and compare and x2xy
 3.9.10: In Exercises 710, use the information to evaluate and compare and 2xy
 3.9.11: In Exercises 1120, find the differential of the given function. xy
 3.9.12: In Exercises 1120, find the differential of the given function. xyx
 3.9.13: In Exercises 1120, find the differential of the given function. yx
 3.9.14: In Exercises 1120, find the differential of the given function. x3
 3.9.15: In Exercises 1120, find the differential of the given function. x3
 3.9.16: In Exercises 1120, find the differential of the given function. x32
 3.9.17: In Exercises 1120, find the differential of the given function. 32y
 3.9.18: In Exercises 1120, find the differential of the given function. 32y
 3.9.19: In Exercises 1120, find the differential of the given function. 2yx
 3.9.20: In Exercises 1120, find the differential of the given function. 2yx2
 3.9.21: In Exercises 2124, use differentials and the graph of to approximat...
 3.9.22: In Exercises 2124, use differentials and the graph of to approximat...
 3.9.23: In Exercises 2124, use differentials and the graph of to approximat...
 3.9.24: In Exercises 2124, use differentials and the graph of to approximat...
 3.9.25: In Exercises 25 and 26, use differentials and the graph of to appro...
 3.9.26: In Exercises 25 and 26, use differentials and the graph of to appro...
 3.9.27: Area The measurement of the side of a square is found to be 12 inch...
 3.9.28: Area The measurements of the base and altitude of a triangle are fo...
 3.9.29: Area The measurement of the radius of the end of a log is found to ...
 3.9.30: Volume and Surface Area The measurement of the edge of a cube is fo...
 3.9.31: Area The measurement of a side of a square is found to be 15 centim...
 3.9.32: Circumference The measurement of the circumference of a circle is f...
 3.9.33: Volume and Surface Area The radius of a sphere is measured to be 6 ...
 3.9.34: Profit The profit for a company is given by Approximate the change ...
 3.9.35: Volume In Exercises 35 and 36, the thickness of each shell is 0.2 c...
 3.9.36: Volume In Exercises 35 and 36, the thickness of each shell is 0.2 c...
 3.9.37: Pendulum The period of a pendulum is given by where is the length o...
 3.9.38: Ohms Law A current of amperes passes through a resistor of ohms. Oh...
 3.9.39: Triangle Measurements The measurement of one side of a right triang...
 3.9.40: Area Approximate the percent error in computing the area of the tri...
 3.9.41: Projectile Motion The range of a projectile is where is the initial...
 3.9.42: Surveying A surveyor standing 50 feet from the base of a large tree...
 3.9.43: In Exercises 4346, use differentials to approximate the value of th...
 3.9.44: In Exercises 4346, use differentials to approximate the value of th...
 3.9.45: In Exercises 4346, use differentials to approximate the value of th...
 3.9.46: In Exercises 4346, use differentials to approximate the value of th...
 3.9.47: Writing In Exercises 47 and 48, give a short explanation of why the...
 3.9.48: Writing In Exercises 47 and 48, give a short explanation of why the...
 3.9.49: In Exercises 4952, verify the tangent line approximation of the fun...
 3.9.50: In Exercises 4952, verify the tangent line approximation of the fun...
 3.9.51: In Exercises 4952, verify the tangent line approximation of the fun...
 3.9.52: In Exercises 4952, verify the tangent line approximation of the fun...
 3.9.53: Describe the change in accuracy of as an approximation for when is ...
 3.9.54: When using differentials, what is meant by the terms propagated err...
 3.9.55: True or False? In Exercises 5558, determine whether the statement i...
 3.9.56: True or False? In Exercises 5558, determine whether the statement i...
 3.9.57: True or False? In Exercises 5558, determine whether the statement i...
 3.9.58: True or False? In Exercises 5558, determine whether the statement i...
Solutions for Chapter 3.9: Differentials
Full solutions for Calculus  8th Edition
ISBN: 9780618502981
Solutions for Chapter 3.9: Differentials
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus, edition: 8. Calculus was written by and is associated to the ISBN: 9780618502981. Since 58 problems in chapter 3.9: Differentials have been answered, more than 76503 students have viewed full stepbystep solutions from this chapter. Chapter 3.9: Differentials includes 58 full stepbystep solutions.

Additive inverse of a complex number
The opposite of a + bi, or a  bi

Confounding variable
A third variable that affects either of two variables being studied, making inferences about causation unreliable

Continuous function
A function that is continuous on its entire domain

Explicitly defined sequence
A sequence in which the kth term is given as a function of k.

Exponential form
An equation written with exponents instead of logarithms.

Exponential regression
A procedure for fitting an exponential function to a set of data.

Focal width of a parabola
The length of the chord through the focus and perpendicular to the axis.

Infinite sequence
A function whose domain is the set of all natural numbers.

Irreducible quadratic over the reals
A quadratic polynomial with real coefficients that cannot be factored using real coefficients.

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

Multiplication principle of probability
If A and B are independent events, then P(A and B) = P(A) # P(B). If Adepends on B, then P(A and B) = P(AB) # P(B)

Multiplicative inverse of a matrix
See Inverse of a matrix

Nappe
See Right circular cone.

nth root
See Principal nth root

Outcomes
The various possible results of an experiment.

Radian measure
The measure of an angle in radians, or, for a central angle, the ratio of the length of the intercepted arc tothe radius of the circle.

Real axis
See Complex plane.

Riemann sum
A sum where the interval is divided into n subintervals of equal length and is in the ith subinterval.

Sequence
See Finite sequence, Infinite sequence.

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