×

×

Textbooks / Calculus / Vector Calculus 4

# Vector Calculus 4th Edition - Solutions by Chapter ## Full solutions for Vector Calculus | 4th Edition

ISBN: 9780321780652 Vector Calculus | 4th Edition - Solutions by Chapter

Solutions by Chapter
4 5 0 240 Reviews
##### ISBN: 9780321780652

This expansive textbook survival guide covers the following chapters: 47. This textbook survival guide was created for the textbook: Vector Calculus, edition: 4. Since problems from 47 chapters in Vector Calculus have been answered, more than 50909 students have viewed full step-by-step answer. The full step-by-step solution to problem in Vector Calculus were answered by , our top Calculus solution expert on 03/05/18, 06:59PM. Vector Calculus was written by and is associated to the ISBN: 9780321780652.

Key Calculus Terms and definitions covered in this textbook
• Constant term

See Polynomial function

• Cosecant

The function y = csc x

• Division algorithm for polynomials

Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

• Factor

In algebra, a quantity being multiplied in a product. In statistics, a potential explanatory variable under study in an experiment, .

• Graph of a function ƒ

The set of all points in the coordinate plane corresponding to the pairs (x, ƒ(x)) for x in the domain of ƒ.

• Interval

Connected subset of the real number line with at least two points, p. 4.

• Left-hand limit of f at x a

The limit of ƒ as x approaches a from the left.

• Linear correlation

A scatter plot with points clustered along a line. Correlation is positive if the slope is positive and negative if the slope is negative

• Logarithmic function with base b

The inverse of the exponential function y = bx, denoted by y = logb x

• Lower bound for real zeros

A number c is a lower bound for the set of real zeros of ƒ if ƒ(x) Z 0 whenever x < c

• LRAM

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

• Midpoint (in a coordinate plane)

For the line segment with endpoints (a,b) and (c,d), (aa + c2 ,b + d2)

• Orthogonal vectors

Two vectors u and v with u x v = 0.

A procedure for fitting a quadratic function to a set of data.

• Rational function

Function of the form ƒ(x)/g(x) where ƒ(x) and g(x) are polynomials and g(x) is not the zero polynomial.

• Richter scale

A logarithmic scale used in measuring the intensity of an earthquake.

• Tangent line of ƒ at x = a

The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

• Vertex of a parabola

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

• x-axis

Usually the horizontal coordinate line in a Cartesian coordinate system with positive direction to the right,.

• y-axis

Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.