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# Solutions for Chapter 9-1: Introduction to the Integral of a Product of Two Functions ## Full solutions for Calculus: Concepts and Applications | 2nd Edition

ISBN: 9781559536547 Solutions for Chapter 9-1: Introduction to the Integral of a Product of Two Functions

Solutions for Chapter 9-1
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##### ISBN: 9781559536547

This textbook survival guide was created for the textbook: Calculus: Concepts and Applications, edition: 2. Chapter 9-1: Introduction to the Integral of a Product of Two Functions includes 7 full step-by-step solutions. Calculus: Concepts and Applications was written by and is associated to the ISBN: 9781559536547. This expansive textbook survival guide covers the following chapters and their solutions. Since 7 problems in chapter 9-1: Introduction to the Integral of a Product of Two Functions have been answered, more than 18543 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Amplitude

See Sinusoid.

• Components of a vector

See Component form of a vector.

• Continuous at x = a

lim x:a x a ƒ(x) = ƒ(a)

• Cosine

The function y = cos x

• Head minus tail (HMT) rule

An arrow with initial point (x1, y1 ) and terminal point (x2, y2) represents the vector <8x 2 - x 1, y2 - y19>

• Interval

Connected subset of the real number line with at least two points, p. 4.

See Polynomial function in x.

• Natural logarithmic regression

A procedure for fitting a logarithmic curve to a set of data.

• NDER ƒ(a)

See Numerical derivative of ƒ at x = a.

• Orthogonal vectors

Two vectors u and v with u x v = 0.

• Parallelogram representation of vector addition

Geometric representation of vector addition using the parallelogram determined by the position vectors.

• Parametric equations

Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.

• Quartile

The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.

• Sinusoidal regression

A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

• Slope

Ratio change in y/change in x

• Solve graphically

Use a graphical method, including use of a hand sketch or use of a grapher. When appropriate, the approximate solution should be confirmed algebraically

• Sphere

A set of points in Cartesian space equally distant from a fixed point called the center.

• Subtraction

a - b = a + (-b)

• Vertices of an ellipse

The points where the ellipse intersects its focal axis.

• x-intercept

A point that lies on both the graph and the x-axis,.

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