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# Solutions for Chapter 2.4: EXACT EQUATIONS

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

ISBN: 9781111827052

Solutions for Chapter 2.4: EXACT EQUATIONS

Solutions for Chapter 2.4
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##### ISBN: 9781111827052

Since 46 problems in chapter 2.4: EXACT EQUATIONS have been answered, more than 46789 students have viewed full step-by-step solutions from this chapter. Chapter 2.4: EXACT EQUATIONS includes 46 full step-by-step solutions. A First Course in Differential Equations with Modeling Applications was written by and is associated to the ISBN: 9781111827052. This textbook survival guide was created for the textbook: A First Course in Differential Equations with Modeling Applications, edition: 10. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Ambiguous case

The case in which two sides and a nonincluded angle can determine two different triangles

• Amplitude

See Sinusoid.

• Characteristic polynomial of a square matrix A

det(xIn - A), where A is an n x n matrix

• Conjugate axis of a hyperbola

The line segment of length 2b that is perpendicular to the focal axis and has the center of the hyperbola as its midpoint

• Constraints

See Linear programming problem.

• Cubic

A degree 3 polynomial function

• Geometric sequence

A sequence {an}in which an = an-1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

• Infinite discontinuity at x = a

limx:a + x a ƒ(x) = q6 or limx:a - ƒ(x) = q.

• kth term of a sequence

The kth expression in the sequence

• LRAM

A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the left-hand endpoint of each subinterval

• Measure of an angle

The number of degrees or radians in an angle

• Polynomial function

A function in which ƒ(x)is a polynomial in x, p. 158.

• Random behavior

Behavior that is determined only by the laws of probability.

• Slope-intercept form (of a line)

y = mx + b

• Sum identity

An identity involving a trigonometric function of u + v

• Sum of an infinite series

See Convergence of a series

• System

A set of equations or inequalities.

• Translation

See Horizontal translation, Vertical translation.

• x-intercept

A point that lies on both the graph and the x-axis,.

• Zero factor property

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

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