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# Solutions for Chapter 3.7: Related Rates

## Full solutions for Calculus: Early Transcendental Functions | 6th Edition

ISBN: 9781285774770

Solutions for Chapter 3.7: Related Rates

Solutions for Chapter 3.7
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##### ISBN: 9781285774770

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. Since 49 problems in chapter 3.7: Related Rates have been answered, more than 43615 students have viewed full step-by-step solutions from this chapter. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770. Chapter 3.7: Related Rates includes 49 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Binomial probability

In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n - k2!pk11 - p) n-k where p is the probability of the outcome occurring once

• Complex fraction

See Compound fraction.

• Continuous function

A function that is continuous on its entire domain

• Direct variation

See Power function.

• Exponential growth function

Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

• Factoring (a polynomial)

Writing a polynomial as a product of two or more polynomial factors.

• Focal axis

The line through the focus and perpendicular to the directrix of a conic.

• Initial side of an angle

See Angle.

• kth term of a sequence

The kth expression in the sequence

• Line of travel

The path along which an object travels

• Objective function

See Linear programming problem.

• Opposite

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

• Origin

The number zero on a number line, or the point where the x- and y-axes cross in the Cartesian coordinate system, or the point where the x-, y-, and z-axes cross in Cartesian three-dimensional space

• Orthogonal vectors

Two vectors u and v with u x v = 0.

• Perpendicular lines

Two lines that are at right angles to each other

• Present value of an annuity T

he net amount of your money put into an annuity.

• Projection of u onto v

The vector projv u = au # vƒvƒb2v

• Reciprocal identity

An identity that equates a trigonometric function with the reciprocal of another trigonometricfunction.

• Sequence of partial sums

The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

• Vector equation for a line in space

The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.

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