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Calculus with Applications 10th Edition - Solutions by Chapter
Full solutions for Calculus with Applications | 10th Edition
ISBN: 9780321749000
Solutions by Chapter
This textbook survival guide was created for the textbook: Calculus with Applications , edition: 10th. Since problems from 34 chapters in Calculus with Applications have been answered, more than 14402 students have viewed full step-by-step answer. This expansive textbook survival guide covers the following chapters: 34. Calculus with Applications was written by Sieva Kozinsky and is associated to the ISBN: 9780321749000. The full step-by-step solution to problem in Calculus with Applications were answered by Sieva Kozinsky, our top Calculus solution expert on 08/28/17, 03:31AM.
Key Calculus Terms and definitions covered in this textbook
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Algebraic model
An equation that relates variable quantities associated with phenomena being studied
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Component form of a vector
If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x-, y-, and z-components of the vector, respectively)
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Compounded continuously
Interest compounded using the formula A = Pert
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De Moivre’s theorem
(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)
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Law of sines
sin A a = sin B b = sin C c
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Linear programming problem
A method of solving certain problems involving maximizing or minimizing a function of two variables (called an objective function) subject to restrictions (called constraints)
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Mathematical induction
A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)
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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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Pole
See Polar coordinate system.
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Polynomial in x
An expression that can be written in the form an x n + an-1x n-1 + Á + a1x + a0, where n is a nonnegative integer, the coefficients are real numbers, and an ? 0. The degree of the polynomial is n, the leading coefficient is an, the leading term is anxn, and the constant term is a0. (The number 0 is the zero polynomial)
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Position vector of the point (a, b)
The vector <a,b>.
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Projection of u onto v
The vector projv u = au # vƒvƒb2v
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Radicand
See Radical.
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Symmetric matrix
A matrix A = [aij] with the property aij = aji for all i and j
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Tangent line of ƒ at x = a
The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.
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Terminal point
See Arrow.
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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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Vector equation for a line in space
The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.
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Vertical stretch or shrink
See Stretch, Shrink.
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Zero factor property
If ab = 0 , then either a = 0 or b = 0.