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# Solutions for Chapter 5.6: The Definite Integral as the Limit of a Sum 3 ## Full solutions for Brief Calculus: An Applied Approach | 7th Edition

ISBN: 9780618547197 Solutions for Chapter 5.6: The Definite Integral as the Limit of a Sum 3

Solutions for Chapter 5.6
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##### ISBN: 9780618547197

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 5.6: The Definite Integral as the Limit of a Sum 3 includes 33 full step-by-step solutions. Since 33 problems in chapter 5.6: The Definite Integral as the Limit of a Sum 3 have been answered, more than 22620 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Brief Calculus: An Applied Approach , edition: 7. Brief Calculus: An Applied Approach was written by and is associated to the ISBN: 9780618547197.

Key Calculus Terms and definitions covered in this textbook
• Binomial

A polynomial with exactly two terms

• De Moivre’s theorem

(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

• Inverse of a matrix

The inverse of a square matrix A, if it exists, is a matrix B, such that AB = BA = I , where I is an identity matrix.

• Inverse tangent function

The function y = tan-1 x

• Line graph

A graph of data in which consecutive data points are connected by line segments

• Linear function

A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

• Magnitude of a real number

See Absolute value of a real number

• Multiplication property of inequality

If u < v and c > 0, then uc < vc. If u < and c < 0, then uc > vc

• Natural logarithmic regression

A procedure for fitting a logarithmic curve to a set of data.

• Ordinary annuity

An annuity in which deposits are made at the same time interest is posted.

• Permutations of n objects taken r at a time

There are nPr = n!1n - r2! such permutations

• Probability of an event in a finite sample space of equally likely outcomes

The number of outcomes in the event divided by the number of outcomes in the sample space.

• Pythagorean

Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2

• Rational zeros theorem

A procedure for finding the possible rational zeros of a polynomial.

• Rose curve

A graph of a polar equation or r = a cos nu.

• Second-degree equation in two variables

Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.

• Solve graphically

Use a graphical method, including use of a hand sketch or use of a grapher. When appropriate, the approximate solution should be confirmed algebraically

• Unit ratio

See Conversion factor.

• xz-plane

The points x, 0, z in Cartesian space.

• Zero factor property

If ab = 0 , then either a = 0 or b = 0.

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