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# Solutions for Chapter 1.1: FUNCTIONS AND MODELS ## Full solutions for Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series) | 4th Edition

ISBN: 9780495559726 Solutions for Chapter 1.1: FUNCTIONS AND MODELS

Solutions for Chapter 1.1
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##### ISBN: 9780495559726

Since 74 problems in chapter 1.1: FUNCTIONS AND MODELS have been answered, more than 13977 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series) was written by and is associated to the ISBN: 9780495559726. This textbook survival guide was created for the textbook: Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series), edition: 4. Chapter 1.1: FUNCTIONS AND MODELS includes 74 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Angle

Union of two rays with a common endpoint (the vertex). The beginning ray (the initial side) can be rotated about its endpoint to obtain the final position (the terminal side)

• Binomial coefficients

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

• Cubic

A degree 3 polynomial function

• Derivative of ƒ

The function defined by ƒ'(x) = limh:0ƒ(x + h) - ƒ(x)h for all of x where the limit exists

• Direct variation

See Power function.

• Dot product

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

• Frequency (in statistics)

The number of individuals or observations with a certain characteristic.

• Graph of an inequality in x and y

The set of all points in the coordinate plane corresponding to the solutions x, y of the inequality.

• Paraboloid of revolution

A surface generated by rotating a parabola about its line of symmetry.

• Parametric equations for a line in space

The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.

• Partial fraction decomposition

See Partial fractions.

• Polar coordinates

The numbers (r, ?) that determine a point’s location in a polar coordinate system. The number r is the directed distance and ? is the directed angle

• Probability of an event in a finite sample space of equally likely outcomes

The number of outcomes in the event divided by the number of outcomes in the sample space.

The distance from a point on a circle (or a sphere) to the center of the circle (or the sphere).

• Removable discontinuity at x = a

lim x:a- ƒ(x) = limx:a+ ƒ(x) but either the common limit is not equal ƒ(a) to ƒ(a) or is not defined

• Residual

The difference y1 - (ax 1 + b), where (x1, y1)is a point in a scatter plot and y = ax + b is a line that fits the set of data.

• Root of an equation

A solution.

• Sum of an infinite series

See Convergence of a series

• Sum of two vectors

<u1, u2> + <v1, v2> = <u1 + v1, u2 + v2> <u1 + v1, u2 + v2, u3 + v3>

• Time plot

A line graph in which time is measured on the horizontal axis.

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