- Chapter 1: Functions and Limits
- Chapter 10: Vectors and the Geometry of Space
- Chapter 11: Partial Derivatives
- Chapter 12: Multiple Integrals
- Chapter 13: Vector Calculus
- Chapter 2: Derivatives
- Chapter 3: Applications of Differentiation
- Chapter 4: Integrals
- Chapter 5: Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions
- Chapter 6: Techniques of Integration
- Chapter 7: Applications of Integration
- Chapter 8: Series
- Chapter 9: Parametric Equations and Polar Coordinates
Essential Calculus 2nd Edition - Solutions by Chapter
Full solutions for Essential Calculus | 2nd Edition
ISBN: 9781133112297
Solutions by Chapter
The full step-by-step solution to problem in Essential Calculus were answered by , our top Calculus solution expert on 11/15/17, 04:17PM. This expansive textbook survival guide covers the following chapters: 13. Since problems from 13 chapters in Essential Calculus have been answered, more than 25318 students have viewed full step-by-step answer. This textbook survival guide was created for the textbook: Essential Calculus, edition: 2. Essential Calculus was written by and is associated to the ISBN: 9781133112297.
Key Calculus Terms and definitions covered in this textbook
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Additive inverse of a complex number
The opposite of a + bi, or -a - bi
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Average rate of change of ƒ over [a, b]
The number ƒ(b) - ƒ(a) b - a, provided a ? b.
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Components of a vector
See Component form of a vector.
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Convenience sample
A sample that sacrifices randomness for convenience
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Coordinate(s) of a point
The number associated with a point on a number line, or the ordered pair associated with a point in the Cartesian coordinate plane, or the ordered triple associated with a point in the Cartesian three-dimensional space
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Derivative of ƒ
The function defined by ƒ'(x) = limh:0ƒ(x + h) - ƒ(x)h for all of x where the limit exists
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Distance (in Cartesian space)
The distance d(P, Q) between and P(x, y, z) and Q(x, y, z) or d(P, Q) ((x ) - x 2)2 + (y1 - y2)2 + (z 1 - z 2)2
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Expanded form of a series
A series written explicitly as a sum of terms (not in summation notation).
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Frequency
Reciprocal of the period of a sinusoid.
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Imaginary unit
The complex number.
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Inductive step
See Mathematical induction.
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Leaf
The final digit of a number in a stemplot.
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Line graph
A graph of data in which consecutive data points are connected by line segments
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Linear regression line
The line for which the sum of the squares of the residuals is the smallest possible
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Positive association
A relationship between two variables in which higher values of one variable are generally associated with higher values of the other variable, p. 717.
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Projection of u onto v
The vector projv u = au # vƒvƒb2v
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Range (in statistics)
The difference between the greatest and least values in a data set.
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Statute mile
5280 feet.
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Unit circle
A circle with radius 1 centered at the origin.
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x-axis
Usually the horizontal coordinate line in a Cartesian coordinate system with positive direction to the right,.