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# Solutions for Chapter 5.3: Inverse Functions

## Full solutions for Calculus | 8th Edition

ISBN: 9780618502981

Solutions for Chapter 5.3: Inverse Functions

Solutions for Chapter 5.3
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##### ISBN: 9780618502981

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus, edition: 8. Calculus was written by and is associated to the ISBN: 9780618502981. Since 107 problems in chapter 5.3: Inverse Functions have been answered, more than 79352 students have viewed full step-by-step solutions from this chapter. Chapter 5.3: Inverse Functions includes 107 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Absolute maximum

A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.

• Absolute value of a vector

See Magnitude of a vector.

• Binomial coefficients

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

• 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)

• Dot product

The number found when the corresponding components of two vectors are multiplied and then summed

• Ellipse

The set of all points in the plane such that the sum of the distances from a pair of fixed points (the foci) is a constant

• equation of an ellipse

(x - h2) a2 + (y - k)2 b2 = 1 or (y - k)2 a2 + (x - h)2 b2 = 1

• Equivalent equations (inequalities)

Equations (inequalities) that have the same solutions.

• Equivalent vectors

Vectors with the same magnitude and direction.

• Event

A subset of a sample space.

• Half-life

The amount of time required for half of a radioactive substance to decay.

• Left-hand limit of f at x a

The limit of ƒ as x approaches a from the left.

• Limit

limx:aƒ1x2 = L means that ƒ(x) gets arbitrarily close to L as x gets arbitrarily close (but not equal) to a

• Lower bound test for real zeros

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

• Perihelion

The closest point to the Sun in a planet’s orbit.

• Power rule of logarithms

logb Rc = c logb R, R 7 0.

• Recursively defined sequence

A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

• Second-degree equation in two variables

Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.

• Unit ratio

See Conversion factor.

• Zero vector

The vector <0,0> or <0,0,0>.

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