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Get Full Access to Calculus - Textbook Survival Guide
Get Full Access to Calculus - Textbook Survival Guide
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# Solutions for Chapter 6.2: SOLUTIONS ABOUT ORDINARY POINTS

## Full solutions for A First Course in Differential Equations with Modeling Applications | 10th Edition

ISBN: 9781111827052

Solutions for Chapter 6.2: SOLUTIONS ABOUT ORDINARY POINTS

Solutions for Chapter 6.2
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##### ISBN: 9781111827052

This textbook survival guide was created for the textbook: A First Course in Differential Equations with Modeling Applications, edition: 10. Since 30 problems in chapter 6.2: SOLUTIONS ABOUT ORDINARY POINTS have been answered, more than 46283 students have viewed full step-by-step solutions from this chapter. Chapter 6.2: SOLUTIONS ABOUT ORDINARY POINTS includes 30 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. A First Course in Differential Equations with Modeling Applications was written by and is associated to the ISBN: 9781111827052.

Key Calculus Terms and definitions covered in this textbook
• Derivative of ƒ at x a

ƒ'(a) = lim x:a ƒ(x) - ƒ(a) x - a provided the limit exists

• Double inequality

A statement that describes a bounded interval, such as 3 ? x < 5

• Ellipse

The set of all points in the plane such that the sum of the distances from a pair of fixed points (the foci) is a constant

• Finite series

Sum of a finite number of terms.

• Fitting a line or curve to data

Finding a line or curve that comes close to passing through all the points in a scatter plot.

• Five-number summary

The minimum, first quartile, median, third quartile, and maximum of a data set.

• Identity properties

a + 0 = a, a ? 1 = a

• Inverse cosecant function

The function y = csc-1 x

• Law of cosines

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

• Major axis

The line segment through the foci of an ellipse with endpoints on the ellipse

• n-set

A set of n objects.

• Open interval

An interval that does not include its endpoints.

• Ordered set

A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.

• Partial sums

See Sequence of partial sums.

• Principle of mathematical induction

A principle related to mathematical induction.

• Shrink of factor c

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal shrink) by the constant 1/c or all of the y-coordinates (vertical shrink) by the constant c, 0 < c < 1.

• Solution of an equation or inequality

A value of the variable (or values of the variables) for which the equation or inequality is true

• System

A set of equations or inequalities.

• Tangent line of ƒ at x = a

The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

• Upper bound for real zeros

A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.

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