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# Solutions for Chapter 1-6: Chapter Review and Test

## Full solutions for Calculus: Concepts and Applications | 2nd Edition

ISBN: 9781559536547

Solutions for Chapter 1-6: Chapter Review and Test

Solutions for Chapter 1-6
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##### ISBN: 9781559536547

This expansive textbook survival guide covers the following chapters and their solutions. Since 8 problems in chapter 1-6: Chapter Review and Test have been answered, more than 8003 students have viewed full step-by-step solutions from this chapter. Calculus: Concepts and Applications was written by Patricia and is associated to the ISBN: 9781559536547. Chapter 1-6: Chapter Review and Test includes 8 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Concepts and Applications, edition: 2.

Key Calculus Terms and definitions covered in this textbook
• Combination

An arrangement of elements of a set, in which order is not important

• 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

• equation of an ellipse

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

• Hypotenuse

Side opposite the right angle in a right triangle.

• Imaginary part of a complex number

See Complex number.

• Inverse cotangent function

The function y = cot-1 x

• Linear combination of vectors u and v

An expression au + bv , where a and b are real numbers

• 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

• Midpoint (in Cartesian space)

For the line segment with endpoints (x 1, y1, z 1) and (x2, y2, z2), ax 1 + x 22 ,y1 + y22 ,z 1 + z 22 b

• Number line graph of a linear inequality

The graph of the solutions of a linear inequality (in x) on a number line

• Pascal’s triangle

A number pattern in which row n (beginning with n = 02) consists of the coefficients of the expanded form of (a+b)n.

• Pole

See Polar coordinate system.

• Probability function

A function P that assigns a real number to each outcome O in a sample space satisfying: 0 … P1O2 … 1, P12 = 0, and the sum of the probabilities of all outcomes is 1.

• Product of functions

(ƒg)(x) = ƒ(x)g(x)

The formula x = -b 2b2 - 4ac2a used to solve ax 2 + bx + c = 0.

• Richter scale

A logarithmic scale used in measuring the intensity of an earthquake.

• 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.

• Subtraction

a - b = a + (-b)

• Vertical stretch or shrink

See Stretch, Shrink.

• Work

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

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