By James Stewart
Author: James Stewart
Pages: 1404 in PDF
Publisher: Cengage studying; eight edition
Date: February four, 2015
Success on your calculus path begins the following! James Stewart's CALCULUS: EARLY TRANSCENDENTALS texts are world-wide best-sellers for a cause: they're transparent, exact, and jam-packed with correct, real-world examples. With CALCULUS: EARLY TRANSCENDENTALS, 8th version, Stewart conveys not just the software of calculus that can assist you advance technical competence, but in addition provides an appreciation for the intrinsic fantastic thing about the topic. His sufferer examples and integrated studying aids may also help you construct your mathematical self assurance and attain your pursuits within the direction.
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Additional info for Calculus: Early Transcendentals (8th Edition)
If x is in the domain of the function f, then when x enters the machine, it’s accepted as an input and the machine produces an output f sxd according to the rule of the function. Thus we can think of the domain as the set of all possible inputs and the range as the set of all possible outputs. The preprogrammed functions in a calculator are good examples of a function as a machine. For example, the square root key on your calculator computes such a function. You press the key labeled s (or s x ) and enter the input x.
The area A of a circle depends on the radius r of the circle. The rule that connects r and A is given by the equation A − r 2. With each positive number r there is associ ated one value of A, and we say that A is a function of r. The human population of the world P depends on the time t. The table gives esti mates of the world population Pstd at time t, for certain years. For instance, Ps1950d < 2,560,000,000 But for each value of the time t there is a corresponding value of P, and we say that P is a function of t.
Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 16 Chapter 1 Functions and Models Example 7 A function f is defined by f sxd − H 1 2 x if x < 21 x2 if x . 21 Evaluate f s22d, f s21d, and f s0d and sketch the graph. Solution Remember that a function is a rule. For this particular function the rule is the following: First look at the value of the input x.