 4.8.1: In Exercises 16, find the equation of the tangent line T to the gra...
 4.8.2: In Exercises 16, find the equation of the tangent line T to the gra...
 4.8.3: In Exercises 16, find the equation of the tangent line T to the gra...
 4.8.4: In Exercises 16, find the equation of the tangent line T to the gra...
 4.8.5: In Exercises 16, find the equation of the tangent line T to the gra...
 4.8.6: In Exercises 16, find the equation of the tangent line T to the gra...
 4.8.7: In Exercises 710, use the information to evaluate and compare Ay an...
 4.8.8: In Exercises 710, use the information to evaluate and compare Ay an...
 4.8.9: In Exercises 710, use the information to evaluate and compare Ay an...
 4.8.10: In Exercises 710, use the information to evaluate and compare Ay an...
 4.8.11: In Exercises 1124, find the differential of the given functiony 3x2 4
 4.8.12: In Exercises 1124, find the differential of the given functiony 3x23
 4.8.13: In Exercises 1124, find the differential of the given functiony x 1...
 4.8.14: In Exercises 1124, find the differential of the given functiony 9 x2 y
 4.8.15: In Exercises 1124, find the differential of the given function
 4.8.16: In Exercises 1124, find the differential of the given function
 4.8.17: In Exercises 1124, find the differential of the given functiony ln4...
 4.8.18: In Exercises 1124, find the differential of the given function
 4.8.19: In Exercises 1124, find the differential of the given function
 4.8.20: In Exercises 1124, find the differential of the given functiony x s...
 4.8.21: In Exercises 1124, find the differential of the given functiony 13 ...
 4.8.22: In Exercises 1124, find the differential of the given functiony sec...
 4.8.23: In Exercises 1124, find the differential of the given functiony x a...
 4.8.24: In Exercises 1124, find the differential of the given functiony arc...
 4.8.25: In Exercises 2528, use differentials and the graph of f to approxim...
 4.8.26: In Exercises 2528, use differentials and the graph of f to approxim...
 4.8.27: In Exercises 2528, use differentials and the graph of f to approxim...
 4.8.28: In Exercises 2528, use differentials and the graph of f to approxim...
 4.8.29: In Exercises 29 and 30, use differentials and the graph of to appro...
 4.8.30: In Exercises 29 and 30, use differentials and the graph of to appro...
 4.8.31: Area The measurement of the side of a square is found to be 12 inch...
 4.8.32: Area The measurements of the base and altitude of a triangle are fo...
 4.8.33: Area The measurement of the radius of the end of a log is found to ...
 4.8.34: Volume and Surface Area The measurement of the edge of a cube is fo...
 4.8.35: Area The measurement of a side of a square is found to be 15 centim...
 4.8.36: Circumference The measurement of the circumference of a circle is f...
 4.8.37: Volume and Surface Area The radius of a sphere is measured to be 6 ...
 4.8.38: Profit The profit for a company is given by Approximate the change ...
 4.8.39: Profit The profit for a company is where is sales. Approximate the ...
 4.8.40: Relative Humidity When the dewpoint is Fahrenheit, the relative hum...
 4.8.41: In Exercises 41 and 42, the thickness of the shell is 0.2 centimete...
 4.8.42: In Exercises 41 and 42, the thickness of the shell is 0.2 centimete...
 4.8.43: Triangle Measurements The measurement of one side of a right triang...
 4.8.44: Ohms Law A current of amperes passes through a resistor of ohms. Oh...
 4.8.45: Projectile Motion The range of a projectile is where is the initial...
 4.8.46: Surveying A surveyor standing 50 feet from the base of a large tree...
 4.8.47: In Exercises 4750, use differentials to approximate the value of th...
 4.8.48: In Exercises 4750, use differentials to approximate the value of th...
 4.8.49: In Exercises 4750, use differentials to approximate the value of th...
 4.8.50: In Exercises 4750, use differentials to approximate the value of th...
 4.8.51: Writing In Exercises 51 and 52, give a short explanation of why the...
 4.8.52: Writing In Exercises 51 and 52, give a short explanation of why the...
 4.8.53: In Exercises 5356, verify the tangent line approximation of the fun...
 4.8.54: In Exercises 5356, verify the tangent line approximation of the fun...
 4.8.55: In Exercises 5356, verify the tangent line approximation of the fun...
 4.8.56: In Exercises 5356, verify the tangent line approximation of the fun...
 4.8.57: Describe the change in accuracy of as an approximation for when is ...
 4.8.58: When using differentials, what is meant by the terms propagated err...
 4.8.59: True or False? In Exercises 5962, determine whether the statement i...
 4.8.60: True or False? In Exercises 5962, determine whether the statement i...
 4.8.61: True or False? In Exercises 5962, determine whether the statement i...
 4.8.62: True or False? In Exercises 5962, determine whether the statement i...
Solutions for Chapter 4.8: Differentials
Full solutions for Calculus: Early Transcendental Functions  4th Edition
ISBN: 9780618606245
Solutions for Chapter 4.8: Differentials
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Chapter 4.8: Differentials includes 62 full stepbystep solutions. Since 62 problems in chapter 4.8: Differentials have been answered, more than 41004 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions , edition: 4. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9780618606245.

Compound fraction
A fractional expression in which the numerator or denominator may contain fractions

De Moivre’s theorem
(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

Differentiable at x = a
ƒ'(a) exists

Eccentricity
A nonnegative number that specifies how offcenter the focus of a conic is

Hyperboloid of revolution
A surface generated by rotating a hyperbola about its transverse axis, p. 607.

Inferential statistics
Using the science of statistics to make inferences about the parameters in a population from a sample.

Integrable over [a, b] Lba
ƒ1x2 dx exists.

Inverse reflection principle
If the graph of a relation is reflected across the line y = x , the graph of the inverse relation results.

Length of a vector
See Magnitude of a vector.

Linear inequality in x
An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0

Linear regression equation
Equation of a linear regression line

Natural logarithmic regression
A procedure for fitting a logarithmic curve to a set of data.

Opens upward or downward
A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.

Polynomial in x
An expression that can be written in the form an x n + an1x n1 + Á + a1x + a0, where n is a nonnegative integer, the coefficients are real numbers, and an ? 0. The degree of the polynomial is n, the leading coefficient is an, the leading term is anxn, and the constant term is a0. (The number 0 is the zero polynomial)

Polynomial interpolation
The process of fitting a polynomial of degree n to (n + 1) points.

Proportional
See Power function

Quantitative variable
A variable (in statistics) that takes on numerical values for a characteristic being measured.

Resistant measure
A statistical measure that does not change much in response to outliers.

Row operations
See Elementary row operations.

Seconddegree equation in two variables
Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.