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# Solutions for Chapter 9.5: APPLICATIONS AND MODELING

## Full solutions for Applied Calculus | 5th Edition

ISBN: 9781118174920

Solutions for Chapter 9.5: APPLICATIONS AND MODELING

Solutions for Chapter 9.5
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##### ISBN: 9781118174920

This textbook survival guide was created for the textbook: Applied Calculus, edition: 5. Chapter 9.5: APPLICATIONS AND MODELING includes 25 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 25 problems in chapter 9.5: APPLICATIONS AND MODELING have been answered, more than 7017 students have viewed full step-by-step solutions from this chapter. Applied Calculus was written by Patricia and is associated to the ISBN: 9781118174920.

Key Calculus Terms and definitions covered in this textbook
• Acceleration due to gravity

g ? 32 ft/sec2 ? 9.8 m/sec

• Blocking

A feature of some experimental designs that controls for potential differences between subject groups by applying treatments randomly within homogeneous blocks of subjects

• Center

The central point in a circle, ellipse, hyperbola, or sphere

• Course

See Bearing.

• Equivalent systems of equations

Systems of equations that have the same solution.

• Graph of a function ƒ

The set of all points in the coordinate plane corresponding to the pairs (x, ƒ(x)) for x in the domain of ƒ.

• Heron’s formula

The area of ¢ABC with semiperimeter s is given by 2s1s - a21s - b21s - c2.

• Increasing on an interval

A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.

• Initial side of an angle

See Angle.

• Logistic growth function

A model of population growth: ƒ1x2 = c 1 + a # bx or ƒ1x2 = c1 + ae-kx, where a, b, c, and k are positive with b < 1. c is the limit to growth

• Lower bound test for real zeros

A test for finding a lower bound for the real zeros of a polynomial

• Multiplicative identity for matrices

See Identity matrix

• Observational study

A process for gathering data from a subset of a population through current or past observations. This differs from an experiment in that no treatment is imposed.

• One-to-one rule of exponents

x = y if and only if bx = by.

• Product of complex numbers

(a + bi)(c + di) = (ac - bd) + (ad + bc)i

• Reflection across the x-axis

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

• Remainder polynomial

See Division algorithm for polynomials.

• Semiminor axis

The distance from the center of an ellipse to a point on the ellipse along a line perpendicular to the major axis.

• Sphere

A set of points in Cartesian space equally distant from a fixed point called the center.

• Sum identity

An identity involving a trigonometric function of u + v

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