 5.6.1: In Exercises 14, use the Midpoint Rule with to approximate the area...
 5.6.2: In Exercises 14, use the Midpoint Rule with to approximate the area...
 5.6.3: In Exercises 14, use the Midpoint Rule with to approximate the area...
 5.6.4: In Exercises 14, use the Midpoint Rule with to approximate the area...
 5.6.5: In Exercises 512, use the Midpoint Rule with to approximate the are...
 5.6.6: In Exercises 512, use the Midpoint Rule with to approximate the are...
 5.6.7: In Exercises 512, use the Midpoint Rule with to approximate the are...
 5.6.8: In Exercises 512, use the Midpoint Rule with to approximate the are...
 5.6.9: In Exercises 512, use the Midpoint Rule with to approximate the are...
 5.6.10: In Exercises 512, use the Midpoint Rule with to approximate the are...
 5.6.11: In Exercises 512, use the Midpoint Rule with to approximate the are...
 5.6.12: In Exercises 512, use the Midpoint Rule with to approximate the are...
 5.6.13: In Exercises 1316, use a program similar to that on page 366 to app...
 5.6.14: In Exercises 1316, use a program similar to that on page 366 to app...
 5.6.15: In Exercises 1316, use a program similar to that on page 366 to app...
 5.6.16: In Exercises 1316, use a program similar to that on page 366 to app...
 5.6.17: In Exercises 1720, use the Midpoint Rule with to approximate the ar...
 5.6.18: In Exercises 1720, use the Midpoint Rule with to approximate the ar...
 5.6.19: In Exercises 1720, use the Midpoint Rule with to approximate the ar...
 5.6.20: In Exercises 1720, use the Midpoint Rule with to approximate the ar...
 5.6.21: Trapezoidal Rule In Exercises 21 and 22, use the Trapezoidal Rule w...
 5.6.22: Trapezoidal Rule In Exercises 21 and 22, use the Trapezoidal Rule w...
 5.6.23: In Exercises 2326, use the Trapezoidal Rule with to approximate the...
 5.6.24: In Exercises 2326, use the Trapezoidal Rule with to approximate the...
 5.6.25: In Exercises 2326, use the Trapezoidal Rule with to approximate the...
 5.6.26: In Exercises 2326, use the Trapezoidal Rule with to approximate the...
 5.6.27: In Exercises 27 and 28, use a computer or programmable calculator t...
 5.6.28: In Exercises 27 and 28, use a computer or programmable calculator t...
 5.6.29: In Exercises 29 and 30, use the Trapezoidal Rule with to approximat...
 5.6.30: In Exercises 29 and 30, use the Trapezoidal Rule with to approximat...
 5.6.31: Velocity and Acceleration The table lists the velocity v (in feet p...
 5.6.32: Surface Area To estimate the surface area of a pond, a surveyor tak...
 5.6.33: Numerical Approximation Use the Midpoint Rule and the Trapezoidal R...
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
Get Full SolutionsThis 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 stepbystep 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 stepbystep 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.

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 = tan1 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.

Seconddegree 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.

xzplane
The points x, 0, z in Cartesian space.

Zero factor property
If ab = 0 , then either a = 0 or b = 0.