- 2.6.4E: Sketch the graph of a function that is continuous on an open interv...
- 2.6.88AE: 88AE
- 2.6.89AE: 89AE
- 2.6.90AE: 90AE
- 2.6.91AE: 91AE
- 2.6.92AE: 92AE
- 2.6.93AE: ?a. Use the identity sin (a + h) = sin a cos h + cos a sin h with t...
Solutions for Chapter 2.6: Trigonometric Substitutions
Full solutions for Calculus: Early Transcendentals | 1st Edition
ISBN: 9780321570567
Solutions for Chapter 2.6
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Summary of Chapter 2.6: Trigonometric Substitutions
In this section, we introduce a new family of functions called the hyperbolic functions, which are closely related to both trigonometric functions and exponential functions.
This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Chapter 2.6: Trigonometric Substitutions includes 7 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 7 problems in chapter 2.6: Trigonometric Substitutions have been answered, more than 411917 students have viewed full step-by-step solutions from this chapter. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567.
Key Calculus Terms and definitions covered in this textbook
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Absolute minimum
A value ƒ(c) is an absolute minimum value of ƒ if ƒ(c) ? ƒ(x)for all x in the domain of ƒ.
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Argument of a complex number
The argument of a + bi is the direction angle of the vector {a,b}.
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Binomial
A polynomial with exactly two terms
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Causation
A relationship between two variables in which the values of the response variable are directly affected by the values of the explanatory variable
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Circle
A set of points in a plane equally distant from a fixed point called the center
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Components of a vector
See Component form of a vector.
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Definite integral
The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists
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Equilibrium price
See Equilibrium point.
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Horizontal asymptote
The line is a horizontal asymptote of the graph of a function ƒ if lim x:- q ƒ(x) = or lim x: q ƒ(x) = b
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Hyperboloid of revolution
A surface generated by rotating a hyperbola about its transverse axis, p. 607.
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Linear combination of vectors u and v
An expression au + bv , where a and b are real numbers
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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
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Minor axis
The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.
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Monomial function
A polynomial with exactly one term.
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Number line graph of a linear inequality
The graph of the solutions of a linear inequality (in x) on a number line
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Replication
The principle of experimental design that minimizes the effects of chance variation by repeating the experiment multiple times.
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Sample space
Set of all possible outcomes of an experiment.
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Transitive property
If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.
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Upper bound for ƒ
Any number B for which ƒ(x) ? B for all x in the domain of ƒ.
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Upper bound test for real zeros
A test for finding an upper bound for the real zeros of a polynomial.