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# Solutions for Chapter 13: Essential Calculus 2nd Edition

## Full solutions for Essential Calculus | 2nd Edition

ISBN: 9781133112297

Solutions for Chapter 13

Solutions for Chapter 13
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##### ISBN: 9781133112297

Chapter 13 includes 40 full step-by-step solutions. Essential Calculus was written by and is associated to the ISBN: 9781133112297. Since 40 problems in chapter 13 have been answered, more than 5201 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Essential Calculus, edition: 2.

Key Calculus Terms and definitions covered in this textbook
• Distributive property

a(b + c) = ab + ac and related properties

• Elementary row operations

The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row

• Focal width of a parabola

The length of the chord through the focus and perpendicular to the axis.

• Half-angle identity

Identity involving a trigonometric function of u/2.

• Hypotenuse

Side opposite the right angle in a right triangle.

• Instantaneous rate of change

See Derivative at x = a.

• Inverse cosine function

The function y = cos-1 x

• Inverse cotangent function

The function y = cot-1 x

• Linear correlation

A scatter plot with points clustered along a line. Correlation is positive if the slope is positive and negative if the slope is negative

• Linear regression equation

Equation of a linear regression line

• Quartic function

A degree 4 polynomial function.

• Rational numbers

Numbers that can be written as a/b, where a and b are integers, and b ? 0.

• Real number line

A horizontal line that represents the set of real numbers.

• Reflection through the origin

x, y and (-x,-y) are reflections of each other through the origin.

• Right angle

A 90° angle.

• RRAM

A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the right-hand end point of each subinterval.

• Slope

Ratio change in y/change in x

• Sum of an infinite geometric series

Sn = a 1 - r , |r| 6 1

• Vertex of a parabola

The point of intersection of a parabola and its line of symmetry.

• Work

The product of a force applied to an object over a given distance W = ƒFƒ ƒAB!ƒ.