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# Solutions for Chapter 15.3: Conservative Vector Fields and Independence of Path ## Full solutions for Calculus: Early Transcendental Functions | 6th Edition

ISBN: 9781285774770 Solutions for Chapter 15.3: Conservative Vector Fields and Independence of Path

Solutions for Chapter 15.3
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##### ISBN: 9781285774770

Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770. This expansive textbook survival guide covers the following chapters and their solutions. Since 53 problems in chapter 15.3: Conservative Vector Fields and Independence of Path have been answered, more than 48018 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. Chapter 15.3: Conservative Vector Fields and Independence of Path includes 53 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Annual percentage rate (APR)

The annual interest rate

• Cofunction identity

An identity that relates the sine, secant, or tangent to the cosine, cosecant, or cotangent, respectively

• Compounded annually

See Compounded k times per year.

• Constraints

See Linear programming problem.

• Equilibrium point

A point where the supply curve and demand curve intersect. The corresponding price is the equilibrium price.

• Event

A subset of a sample space.

• First-degree equation in x , y, and z

An equation that can be written in the form.

• Limit at infinity

limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x:- q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

• Multiplicative identity for matrices

See Identity matrix

• nth root of a complex number z

A complex number v such that vn = z

• Parameter interval

See Parametric equations.

• Polar equation

An equation in r and ?.

• Range (in statistics)

The difference between the greatest and least values in a data set.

• RRAM

A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the right-hand end point of each subinterval.

• Standard position (angle)

An angle positioned on a rectangular coordinate system with its vertex at the origin and its initial side on the positive x-axis

• Subtraction

a - b = a + (-b)

• Sum of an infinite series

See Convergence of a series

• Synthetic division

A procedure used to divide a polynomial by a linear factor, x - a

• Unit vector in the direction of a vector

A unit vector that has the same direction as the given vector.

• Vertex of a parabola

The point of intersection of a parabola and its line of symmetry.

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