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# Solutions for Chapter 3.7: Optimization Problems ## Full solutions for Calculus | 8th Edition

ISBN: 9780618502981 Solutions for Chapter 3.7: Optimization Problems

Solutions for Chapter 3.7
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##### ISBN: 9780618502981

This textbook survival guide was created for the textbook: Calculus, edition: 8. Calculus was written by and is associated to the ISBN: 9780618502981. This expansive textbook survival guide covers the following chapters and their solutions. Since 66 problems in chapter 3.7: Optimization Problems have been answered, more than 84236 students have viewed full step-by-step solutions from this chapter. Chapter 3.7: Optimization Problems includes 66 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Divisor of a polynomial

See Division algorithm for polynomials.

• Equal matrices

Matrices that have the same order and equal corresponding elements.

• Expanded form of a series

A series written explicitly as a sum of terms (not in summation notation).

• Horizontal line

y = b.

• Integrable over [a, b] Lba

ƒ1x2 dx exists.

• Inverse variation

See Power function.

• Multiplication principle of counting

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

• Multiplication principle of probability

If A and B are independent events, then P(A and B) = P(A) # P(B). If Adepends on B, then P(A and B) = P(A|B) # P(B)

• nth power of a

The number with n factors of a , where n is the exponent and a is the base.

• Point-slope form (of a line)

y - y1 = m1x - x 12.

• Quotient of functions

a ƒ g b(x) = ƒ(x) g(x) , g(x) ? 0

The measure of a central angle whose intercepted arc has a length equal to the circle’s radius.

• Real number

Any number that can be written as a decimal.

• Regression model

An equation found by regression and which can be used to predict unknown values.

• Right circular cone

The surface created when a line is rotated about a second line that intersects but is not perpendicular to the first line.

• Row echelon form

A matrix in which rows consisting of all 0’s occur only at the bottom of the matrix, the first nonzero entry in any row with nonzero entries is 1, and the leading 1’s move to the right as we move down the rows.

• Summation notation

The series a nk=1ak, where n is a natural number ( or ?) is in summation notation and is read "the sum of ak from k = 1 to n(or infinity).” k is the index of summation, and ak is the kth term of the series

• Velocity

A vector that specifies the motion of an object in terms of its speed and direction.

• Vertex of an angle

See Angle.

• Zero matrix

A matrix consisting entirely of zeros.

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