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カテゴリー: Calculus

Inverse Tangent Function
2021-03-26
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Note that is not one to one, therefore we restrict the interval on . Then, the graph of on the interval is one […]

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Scalar Triple Products
2021-03-20
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We can write the scalar triple product using the notation of determinants: $$\mathbf{a}\cdot (\mathbf{b}\times […]

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Geometric Interpretation of Cross Products
2021-03-19
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The cross product has the geometric interpretations as below: Proof of (1) To prove that is orthogonal to and […]

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Dot Products
2021-03-16
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The dot product is a number, unlike the cross product . Definition is given for n-dimensional vectors. For exa […]

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Polar Coordinates
2021-03-15
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A point P in the plane represented by ordered pais is called a polar coordinate where r is the distance from O […]

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Hyperbolic Functions
2021-01-27
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Hyperbolic Functions are analogous to the trigonometric functions, and have the same relationship to the hyper […]

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