×
×

# Solutions for Chapter 16.3: The Fundamental Theorem for Line Integrals ## Full solutions for Calculus, | 5th Edition

ISBN: 9780534393397 Solutions for Chapter 16.3: The Fundamental Theorem for Line Integrals

Solutions for Chapter 16.3
4 5 0 342 Reviews
21
2
##### ISBN: 9780534393397

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 16.3: The Fundamental Theorem for Line Integrals includes 34 full step-by-step solutions. Calculus, was written by and is associated to the ISBN: 9780534393397. Since 34 problems in chapter 16.3: The Fundamental Theorem for Line Integrals have been answered, more than 43749 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus,, edition: 5.

Key Calculus Terms and definitions covered in this textbook
• Angle of elevation

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

• Argument of a complex number

The argument of a + bi is the direction angle of the vector {a,b}.

• Blocking

A feature of some experimental designs that controls for potential differences between subject groups by applying treatments randomly within homogeneous blocks of subjects

• Component form of a vector

If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x-, y-, and z-components of the vector, respectively)

• Eccentricity

A nonnegative number that specifies how off-center the focus of a conic is

• Equation

A statement of equality between two expressions.

• Equivalent vectors

Vectors with the same magnitude and direction.

• Expanded form of a series

A series written explicitly as a sum of terms (not in summation notation).

• Half-angle identity

Identity involving a trigonometric function of u/2.

• Histogram

A graph that visually represents the information in a frequency table using rectangular areas proportional to the frequencies.

• Independent variable

Variable representing the domain value of a function (usually x).

• Logistic growth function

A model of population growth: ƒ1x2 = c 1 + a # bx or ƒ1x2 = c1 + ae-kx, where a, b, c, and k are positive with b < 1. c is the limit to growth

• NDER ƒ(a)

See Numerical derivative of ƒ at x = a.

• Parameter

See Parametric equations.

• Polar distance formula

The distance between the points with polar coordinates (r1, ?1 ) and (r2, ?2 ) = 2r 12 + r 22 - 2r1r2 cos 1?1 - ?22

• Quartic function

A degree 4 polynomial function.

• Simple harmonic motion

Motion described by d = a sin wt or d = a cos wt

• Solve by substitution

Method for solving systems of linear equations.

• Upper bound for real zeros

A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.

• Vector equation for a line in space

The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.

×