Calculus 5e james stewart
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Calculus 5e james stewart
A graphical representation of a function—here the number of hours of daylight as a function of the time of year at various latitudes— is often the mos Calculus 5e james stewart st natural and convenient way to represent the function.Functions and ModelsThe fundamental objects that we deal with in calculus are functions. This chapter prepares the way for calculus by discussing the basic ideas concerning functions, their graphs, and ways of transforming and combining them. W Calculus 5e james stewart e stress that a function can be represented in different ways: by an equation, in a table, by a graph, or in words. We look at the main types of functCalculus 5e james stewart
ions that occur in calculus and describe the process of using these functions os mathematical models of real-world phenomena We also discuss the use oA graphical representation of a function—here the number of hours of daylight as a function of the time of year at various latitudes— is often the mos Calculus 5e james stewart 0701940230019502560I960304019703710198044501990528020006080Functions arise whenever one quantity depends on another. Consider the following four situations.A. The area .4 of a circle depends on the radius r OỄ' the circle. The rule that connects r and 4 is given by the equation .4 = nr. With each po Calculus 5e james stewart sitive number r there is associated one value of 4. and we say that 4 is a function of r.8. The human population of the world p depends on the time t.Calculus 5e james stewart
The table gives estimates of the world population P(i) at time I, for certain years. For instance,P(1950) ~ 2360.000.000But for each value of the limA graphical representation of a function—here the number of hours of daylight as a function of the time of year at various latitudes— is often the mos Calculus 5e james stewart the letter. Although there IS no simple formula that connects U’ and c. the post office has a rule for determining c when ur is known.D. The vertical acceleration a of the ground as measured by a seismograph during an earthquake is a function of the elapsed lime r. Figure I shows a graph generated b Calculus 5e james stewart y seismic activity during the Northridge earthquake that shook Los Angeles in 1994. For a given value of t. the graph provides a corresponding value oCalculus 5e james stewart
f a.FIGURE IVertical ground acceleration during the Northridge earthquake<11fcnVs2)too50--50car. txt* «r Mitt, M.1 Gratae?www.pdfgrip.comhttps://khothA graphical representation of a function—here the number of hours of daylight as a function of the time of year at various latitudes— is often the mos Calculus 5e james stewart we say that the second number is a function of lite first number.A function f is a rule that assigns to each element X in a set .4 exactly one element. called /(x), in a set H.X—* f 4— (input) w(output)FIGURE 2 Calculus 5e james stewart A graphical representation of a function—here the number of hours of daylight as a function of the time of year at various latitudes— is often the mosGọi ngay
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