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Solutions for Chapter 8.7: Thomas' Calculus: Early Transcendentals 13th Edition

Full solutions for Thomas' Calculus: Early Transcendentals | 13th Edition

ISBN: 9780321884077

Solutions for Chapter 8.7

Solutions for Chapter 8.7
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ISBN: 9780321884077

Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. Since 40 problems in chapter 8.7 have been answered, more than 89225 students have viewed full step-by-step solutions from this chapter. Chapter 8.7 includes 40 full step-by-step solutions. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Characteristic polynomial of a square matrix A

det(xIn - A), where A is an n x n matrix

• Cosine

The function y = cos x

• Difference of complex numbers

(a + bi) - (c + di) = (a - c) + (b - d)i

• Feasible points

Points that satisfy the constraints in a linear programming problem.

• Intermediate Value Theorem

If ƒ is a polynomial function and a < b , then ƒ assumes every value between ƒ(a) and ƒ(b).

• kth term of a sequence

The kth expression in the sequence

• Law of cosines

a2 = b2 + c2 - 2bc cos A, b2 = a2 + c2 - 2ac cos B, c2 = a2 + b2 - 2ab cos C

• Logarithmic form

An equation written with logarithms instead of exponents

• Lower bound of f

Any number b for which b < ƒ(x) for all x in the domain of ƒ

• Minor axis

The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.

• Multiplication principle of counting

A principle used to find the number of ways an event can occur.

• Nappe

See Right circular cone.

• Natural logarithmic function

The inverse of the exponential function y = ex, denoted by y = ln x.

• Origin

The number zero on a number line, or the point where the x- and y-axes cross in the Cartesian coordinate system, or the point where the x-, y-, and z-axes cross in Cartesian three-dimensional space

• Pascal’s triangle

A number pattern in which row n (beginning with n = 02) consists of the coefficients of the expanded form of (a+b)n.

• Position vector of the point (a, b)

The vector <a,b>.

The formula x = -b 2b2 - 4ac2a used to solve ax 2 + bx + c = 0.

• Quartile

The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.

• Re-expression of data

A transformation of a data set.

• Sinusoid

A function that can be written in the form f(x) = a sin (b (x - h)) + k or f(x) = a cos (b(x - h)) + k. The number a is the amplitude, and the number h is the phase shift.

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