- 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
- Chapter 6: TECHNIQUES OF INTEGRATION
- Chapter 7: APPLICATIONS OF INTEGRATION
- Chapter 8: SERIES
- Chapter 9: PARAMETRIC EQUATIONS AND POLAR COORDINATES
Essential Calculus (Available Titles CengageNOW) 1st Edition - Solutions by Chapter
Full solutions for Essential Calculus (Available Titles CengageNOW) | 1st Edition
ISBN: 9780495014423
Essential Calculus (Available Titles CengageNOW) | 1st Edition - Solutions by Chapter
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Key Calculus Terms and definitions covered in this textbook
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Additive identity for the complex numbers
0 + 0i is the complex number zero
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Angle between vectors
The angle formed by two nonzero vectors sharing a common initial point
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Branches
The two separate curves that make up a hyperbola
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Complex conjugates
Complex numbers a + bi and a - bi
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Convenience sample
A sample that sacrifices randomness for convenience
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Cotangent
The function y = cot x
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Degree
Unit of measurement (represented by the symbol ) for angles or arcs, equal to 1/360 of a complete revolution
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Domain of validity of an identity
The set of values of the variable for which both sides of the identity are defined
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Ellipsoid of revolution
A surface generated by rotating an ellipse about its major axis
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Exponential regression
A procedure for fitting an exponential function to a set of data.
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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
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Multiplication principle of probability
If A and B are independent events, then P(A and B) = P(A) # P(B). If Adepends on B, then P(A and B) = P(A|B) # P(B)
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One-to-one function
A function in which each element of the range corresponds to exactly one element in the domain
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Permutation
An arrangement of elements of a set, in which order is important.
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Polynomial interpolation
The process of fitting a polynomial of degree n to (n + 1) points.
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Singular matrix
A square matrix with zero determinant
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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
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Vertex of a cone
See Right circular cone.
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Vertical line
x = a.
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Zero matrix
A matrix consisting entirely of zeros.