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# Solutions for Chapter 5: Integration and Its Applications ## Full solutions for Brief Calculus: An Applied Approach | 7th Edition

ISBN: 9780618547197 Solutions for Chapter 5: Integration and Its Applications

Solutions for Chapter 5
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##### ISBN: 9780618547197

This textbook survival guide was created for the textbook: Brief Calculus: An Applied Approach , edition: 7. Brief Calculus: An Applied Approach was written by and is associated to the ISBN: 9780618547197. Chapter 5: Integration and Its Applications includes 96 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 96 problems in chapter 5: Integration and Its Applications have been answered, more than 24033 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Arcsecant function

See Inverse secant function.

• Binomial theorem

A theorem that gives an expansion formula for (a + b)n

• Direct variation

See Power function.

• Directed angle

See Polar coordinates.

• 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

• Fibonacci sequence

The sequence 1, 1, 2, 3, 5, 8, 13, . . ..

• Index of summation

See Summation notation.

See Polynomial function in x.

• Minor axis

The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.

• One-to-one rule of logarithms

x = y if and only if logb x = logb y.

• Origin

The number zero on a number line, or the point where the x- and y-axes cross in the Cartesian coordinate system, or the point where the x-, y-, and z-axes cross in Cartesian three-dimensional space

• Rational expression

An expression that can be written as a ratio of two polynomials.

• Rational zeros theorem

A procedure for finding the possible rational zeros of a polynomial.

• Remainder polynomial

See Division algorithm for polynomials.

• Row operations

See Elementary row operations.

• Solve algebraically

Use an algebraic method, including paper and pencil manipulation and obvious mental work, with no calculator or grapher use. When appropriate, the final exact solution may be approximated by a calculator

• Sphere

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

• Unbounded interval

An interval that extends to -? or ? (or both).

• Vertex of a parabola

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

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