Worcester Polytechnic Institute

Examples from Week 4

The following examples refer to Bradley's Calculus.

The inverse trigonometric functions can be used to find the area under the curve and in real life applications

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The methods discussed in thish week are very helpful in finding the volume of a defined region.

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The length of a curve and the surface of revolution can be measured by imtegration.

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The section on work directly ties into material in Physics 1110. There are many good examples in the text. Here are some additional ones.

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The following examples refer to Young an Freedman's University Physics.

Kirchoff's Rules can be applied to any circuit.

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The cross product is used when finding the force on a charge in a magnetic field.

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The magnetic flux involves the integral of a dot product.

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There are many applications of motion of charges particles.

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The cross product is used to attain the force on a wire and the integral is used to find the components of the force.

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The magnetic field of a moving charge involves a cross product.

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To find the magnitude B (magnetic field) of a straight conductor, one must integrate the magnitude B of the total B by trigonometric substitution or by using an integral table.

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The magnetic field of a circular loop is developed through differentials and integration

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