×

×

# Solutions for Chapter 7.5: Fundamentals of Differential Equations 8th Edition

## Full solutions for Fundamentals of Differential Equations | 8th Edition

ISBN: 9780321747730

Solutions for Chapter 7.5

Solutions for Chapter 7.5
4 5 0 413 Reviews
31
1
##### ISBN: 9780321747730

Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730. This expansive textbook survival guide covers the following chapters and their solutions. Since 41 problems in chapter 7.5 have been answered, more than 156835 students have viewed full step-by-step solutions from this chapter. Chapter 7.5 includes 41 full step-by-step solutions. This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8.

Key Calculus Terms and definitions covered in this textbook
• Axis of symmetry

See Line of symmetry.

• Combinations of n objects taken r at a time

There are nCr = n! r!1n - r2! such combinations,

• Cubic

A degree 3 polynomial function

• Direct variation

See Power function.

• Division

a b = aa 1 b b, b Z 0

• equation of a parabola

(x - h)2 = 4p(y - k) or (y - k)2 = 4p(x - h)

• Event

A subset of a sample space.

• Future value of an annuity

The net amount of money returned from an annuity.

• 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

• Opposite

See Additive inverse of a real number and Additive inverse of a complex number.

• Parametric equations

Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.

• Polar distance formula

The distance between the points with polar coordinates (r1, ?1 ) and (r2, ?2 ) = 2r 12 + r 22 - 2r1r2 cos 1?1 - ?22

• Quotient rule of logarithms

logb a R S b = logb R - logb S, R > 0, S > 0

The measure of an angle in radians, or, for a central angle, the ratio of the length of the intercepted arc tothe radius of the circle.

• Real zeros

Zeros of a function that are real numbers.

• Reflection across the x-axis

x, y and (x,-y) are reflections of each other across the x-axis.

• Sum of complex numbers

(a + bi) + (c + di) = (a + c) + (b + d)i

• Tangent line of ƒ at x = a

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

• Transverse axis

The line segment whose endpoints are the vertices of a hyperbola.

• 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.