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# Solutions for Chapter 7: Calculus, 7th Edition

## Full solutions for Calculus, | 7th Edition

ISBN: 9780538497817

Solutions for Chapter 7

Solutions for Chapter 7
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##### ISBN: 9780538497817

Chapter 7 includes 80 full step-by-step solutions. Calculus, was written by and is associated to the ISBN: 9780538497817. This textbook survival guide was created for the textbook: Calculus,, edition: 7. This expansive textbook survival guide covers the following chapters and their solutions. Since 80 problems in chapter 7 have been answered, more than 7927 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Acute triangle

A triangle in which all angles measure less than 90°

• Cardioid

A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

• Discriminant

For the equation ax 2 + bx + c, the expression b2 - 4ac; for the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, the expression B2 - 4AC

• Even function

A function whose graph is symmetric about the y-axis for all x in the domain of ƒ.

• Implicitly defined function

A function that is a subset of a relation defined by an equation in x and y.

• Interquartile range

The difference between the third quartile and the first quartile.

• Line of travel

The path along which an object travels

• Linear equation in x

An equation that can be written in the form ax + b = 0, where a and b are real numbers and a Z 0

• Logarithmic regression

See Natural logarithmic regression

• Nappe

See Right circular cone.

• One-to-one rule of logarithms

x = y if and only if logb x = logb y.

• Power rule of logarithms

logb Rc = c logb R, R 7 0.

A function that can be written in the form ƒ(x) = ax 2 + bx + c, where a, b, and c are real numbers, and a ? 0.

• Randomization

The principle of experimental design that makes it possible to use the laws of probability when making inferences.

• Repeated zeros

Zeros of multiplicity ? 2 (see Multiplicity).

• Scalar

A real number.

• Speed

The magnitude of the velocity vector, given by distance/time.

• Symmetric property of equality

If a = b, then b = a

• x-axis

Usually the horizontal coordinate line in a Cartesian coordinate system with positive direction to the right,.

• xy-plane

The points x, y, 0 in Cartesian space.

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