Study Guides
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51.
Applications of the Integral Practice Test
Review the following concepts if needed: Volumes by Slicing Help
Source: McGraw-Hill Professional -
52.
Graphs of Functions Help
Introduction to Graphs of Functions It is useful to be able to draw pictures which represent functions. These pictures, or graphs , are a device for helping us to think about functions. In this book we will only graph functions whose domains and ranges ...
Source: McGraw-Hill Professional -
53.
Plotting the Graph of a Function Help
Introduction to Plotting the Graph of a Function Until we learn some more sophisticated techniques, the basic method that we shall use for graphing functions is to plot points and then to connect them in a plausible manner.
Source: McGraw-Hill Professional -
54.
Composition of Functions Help
Introduction to Composition of Functions Suppose that f and g are functions and that the domain of g contains the range of f . This means that if x is in the domain of f then f ( x ) makes ...
Source: McGraw-Hill Professional -
55.
The Inverse of a Function Help
Introduction to The Inverse of a Function Let f be the function which assigns to each working adult American his or her Social Security Number (a 9-digit string of integers). Let g be the function which assigns to each ...
Source: McGraw-Hill Professional -
56.
The Indefinite Integral Help
Introduction to The Indefinite Integral In practice, it is useful to have a compact notation for the antiderivative. What we do, instead of saying that “the antiderivative of f (x) is F(x) + C ,” is to ...
Source: McGraw-Hill Professional -
57.
Logarithms with Arbitrary Bases Help
Introduction to Logarithms with Arbitrary Bases If you review the first few paragraphs of Section 1, you will find an intuitively appealing definition of the logarithm to the base 2: log
Source: McGraw-Hill Professional -
58.
Logarithm and Exponential Graphing Help
Logarithm and Exponential Graphing If a > 0 and f(x) = log a x, x > 0, then
Source: McGraw-Hill Professional -
59.
Logarithmics Differentiation Help
Logarithmics Differentiation We next show how to use the logarithm as an aid to differentiation. The key idea is that if F is a function taking positive values then we can exploit the formula
Source: McGraw-Hill Professional -
60.
Radioactive Decay Help
Introduction to Radioactive Decay Another natural phenomenon which fits into exponential growth and decay is radioactive decay . Radioactive material, such as C 14 (radioactive carbon), has a ...
Source: McGraw-Hill Professional
