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# Solutions for Chapter 6.4: SECOND FUNDAMENTAL THEOREM OF CALCULUS ## Full solutions for Calculus: Single Variable | 6th Edition

ISBN: 9780470888643 Solutions for Chapter 6.4: SECOND FUNDAMENTAL THEOREM OF CALCULUS

Solutions for Chapter 6.4
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##### ISBN: 9780470888643

Since 53 problems in chapter 6.4: SECOND FUNDAMENTAL THEOREM OF CALCULUS have been answered, more than 34932 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 6.4: SECOND FUNDAMENTAL THEOREM OF CALCULUS includes 53 full step-by-step solutions. Calculus: Single Variable was written by and is associated to the ISBN: 9780470888643. This textbook survival guide was created for the textbook: Calculus: Single Variable , edition: 6.

Key Calculus Terms and definitions covered in this textbook
• Acute triangle

A triangle in which all angles measure less than 90°

• Algebraic expression

A combination of variables and constants involving addition, subtraction, multiplication, division, powers, and roots

• Associative properties

a + (b + c) = (a + b) + c, a(bc) = (ab)c.

• Combinatorics

A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

• Demand curve

p = g(x), where x represents demand and p represents price

• Dependent variable

Variable representing the range value of a function (usually y)

• Direction vector for a line

A vector in the direction of a line in three-dimensional space

• Equation

A statement of equality between two expressions.

• Exponent

See nth power of a.

• Inequality

A statement that compares two quantities using an inequality symbol

• Inverse cosecant function

The function y = csc-1 x

• Linear factorization theorem

A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1 - z1) 1x - i z 22 Á 1x - z n where the z1 are the zeros of ƒ

• Midpoint (in a coordinate plane)

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

• Midpoint (on a number line)

For the line segment with endpoints a and b, a + b2

• Pythagorean identities

sin2 u + cos2 u = 1, 1 + tan2 u = sec2 u, and 1 + cot2 u = csc2 u

• Quotient of functions

a ƒ g b(x) = ƒ(x) g(x) , g(x) ? 0

• Range screen

See Viewing window.

• Second quartile

See Quartile.

• Sum of complex numbers

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

• Time plot

A line graph in which time is measured on the horizontal axis.

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