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Calculus Help

In this section you'll find study materials for calculus help. Use the links below to find the area of calculus you're looking for help with. Each study guide comes complete with an explanation, example problems, and practice problems with solutions to help you learn calculus.

Study Guides

showing 41 - 50 of 94
• 41.

Principles of Work Help

Introduction to Principles of Work One of the basic principles of physics is that work performed is force times distance: If you apply force F pounds in moving an object d feet, then the work is

Source: McGraw-Hill Professional
• 42.

Averages Help

Introduction to Averages In ordinary conversation, when we average a collection p 1,..., pk of k numbers, we add them together and divide by the number of items:

Source: McGraw-Hill Professional
• 43.

Arc Length and Surface Area Help

Introduction Arc Length and Surface Area Just as the integral may be used to calculate planar area and spatial volume, so this tool may also be used to calculate the arc length of a curve and surface area. The basic idea is to approximate the length of a curve by ...

Source: McGraw-Hill Professional
• 44.

Hydrostatic Pressure Help

Introduction to Hydrostatic Pressure If a liquid sits in a tank, then it exerts force on the side of the tank. This force is caused by gravity, and the greater the depth of the liquid then the greater the force. Pascal’s principle asserts that the ...

Source: McGraw-Hill Professional
• 45.

The Trapezoid Rule Help

Introduction to The Trapezoid Rule While there are many integrals that we can calculate explicitly, there are many others that we cannot. For example, it is impossible to evaluate

Source: McGraw-Hill Professional
• 46.

Applications of the Integral Practice Test

Review the following concepts if needed: Volumes by Slicing Help

Source: McGraw-Hill Professional
• 47.

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
• 48.

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
• 49.

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
• 50.

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

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