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# Solutions for Chapter 1.5: Infinite Limits

## Full solutions for Calculus | 8th Edition

ISBN: 9780618502981

Solutions for Chapter 1.5: Infinite Limits

Solutions for Chapter 1.5
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##### ISBN: 9780618502981

Calculus was written by and is associated to the 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. Since 76 problems in chapter 1.5: Infinite Limits have been answered, more than 78358 students have viewed full step-by-step solutions from this chapter. Chapter 1.5: Infinite Limits includes 76 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Additive inverse of a complex number

The opposite of a + bi, or -a - bi

• Conditional probability

The probability of an event A given that an event B has already occurred

• Control

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

• Cubic

A degree 3 polynomial function

• Division algorithm for polynomials

Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

• Inverse cotangent function

The function y = cot-1 x

• Maximum r-value

The value of |r| at the point on the graph of a polar equation that has the maximum distance from the pole

• Piecewise-defined function

A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

• Polynomial function

A function in which ƒ(x)is a polynomial in x, p. 158.

• 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.

• Quartic regression

A procedure for fitting a quartic function to a set of data.

• Reflection across the y-axis

x, y and (-x,y) are reflections of each other across the y-axis.

• Remainder polynomial

See Division algorithm for polynomials.

• Repeated zeros

Zeros of multiplicity ? 2 (see Multiplicity).

• 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.

• Resolving a vector

Finding the horizontal and vertical components of a vector.

• Riemann sum

A sum where the interval is divided into n subintervals of equal length and is in the ith subinterval.

• Rigid transformation

A transformation that leaves the basic shape of a graph unchanged.

• Speed

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

• Tangent line of ƒ at x = a

The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

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