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# Solutions for Chapter 2.3: INTERPRETATIONS OF THE DERIVATIVE

## Full solutions for Applied Calculus | 5th Edition

ISBN: 9781118174920

Solutions for Chapter 2.3: INTERPRETATIONS OF THE DERIVATIVE

Solutions for Chapter 2.3
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##### ISBN: 9781118174920

Chapter 2.3: INTERPRETATIONS OF THE DERIVATIVE includes 54 full step-by-step solutions. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5. This expansive textbook survival guide covers the following chapters and their solutions. Applied Calculus was written by Patricia and is associated to the ISBN: 9781118174920. Since 54 problems in chapter 2.3: INTERPRETATIONS OF THE DERIVATIVE have been answered, more than 6853 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Angle of depression

The acute angle formed by the line of sight (downward) and the horizontal

• Binomial coefficients

The numbers in Pascal’s triangle: nCr = anrb = n!r!1n - r2!

• Boundary

The set of points on the “edge” of a region

• Census

An observational study that gathers data from an entire population

• Control

The principle of experimental design that makes it possible to rule out other factors when making inferences about a particular explanatory variable

• Distance (in a coordinate plane)

The distance d(P, Q) between P(x, y) and Q(x, y) d(P, Q) = 2(x 1 - x 2)2 + (y1 - y2)2

• Frequency (in statistics)

The number of individuals or observations with a certain characteristic.

• Integers

The numbers . . ., -3, -2, -1, 0,1,2,...2

• Logistic regression

A procedure for fitting a logistic curve to a set of data

• Magnitude of a real number

See Absolute value of a real number

• Midpoint (in Cartesian space)

For the line segment with endpoints (x 1, y1, z 1) and (x2, y2, z2), ax 1 + x 22 ,y1 + y22 ,z 1 + z 22 b

• Multiplicative inverse of a matrix

See Inverse of a matrix

• Multiplicity

The multiplicity of a zero c of a polynomial ƒ(x) of degree n > 0 is the number of times the factor (x - c) (x - z 2) Á (x - z n)

• One-to-one rule of exponents

x = y if and only if bx = by.

• 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.

• Permutations of n objects taken r at a time

There are nPr = n!1n - r2! such permutations

• Positive linear correlation

See Linear correlation.

• Projectile motion

The movement of an object that is subject only to the force of gravity

• Semimajor axis

The distance from the center to a vertex of an ellipse.

• yz-plane

The points (0, y, z) in Cartesian space.

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