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# Solutions for Chapter 1.8: NEW FUNCTIONS FROM OLD

## Full solutions for Applied Calculus | 5th Edition

ISBN: 9781118174920

Solutions for Chapter 1.8: NEW FUNCTIONS FROM OLD

Solutions for Chapter 1.8
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##### ISBN: 9781118174920

Chapter 1.8: NEW FUNCTIONS FROM OLD includes 57 full step-by-step solutions. Applied Calculus was written by Patricia and is associated to the ISBN: 9781118174920. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5. Since 57 problems in chapter 1.8: NEW FUNCTIONS FROM OLD have been answered, more than 7018 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Algebraic model

An equation that relates variable quantities associated with phenomena being studied

• Ambiguous case

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

• Angular speed

Speed of rotation, typically measured in radians or revolutions per unit time

• Annual percentage yield (APY)

The rate that would give the same return if interest were computed just once a year

• Component form of a vector

If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x-, y-, and z-components of the vector, respectively)

• Compounded k times per year

Interest compounded using the formula A = Pa1 + rkbkt where k = 1 is compounded annually, k = 4 is compounded quarterly k = 12 is compounded monthly, etc.

• Hyperboloid of revolution

A surface generated by rotating a hyperbola about its transverse axis, p. 607.

• Identity

An equation that is always true throughout its domain.

• Intermediate Value Theorem

If ƒ is a polynomial function and a < b , then ƒ assumes every value between ƒ(a) and ƒ(b).

• Invertible linear system

A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

• Linear function

A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

• 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

• Mathematical model

A mathematical structure that approximates phenomena for the purpose of studying or predicting their behavior

• Numerical model

A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.

• Plane in Cartesian space

The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.

Any one of the four parts into which a plane is divided by the perpendicular coordinate axes.

The formula x = -b 2b2 - 4ac2a used to solve ax 2 + bx + c = 0.

• Quantitative variable

A variable (in statistics) that takes on numerical values for a characteristic being measured.

• Real number

Any number that can be written as a decimal.

• 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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