Compute the vector valued integral

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Stumbling Robot

A Fraction of a Dot
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Compute a vector valued integral

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Compute the vector valued integral

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Compute the integral of *(sin t, cos t, tan t)*

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Compute the integral of *(t, t*^{1/2}, e^{t})

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Prove that the angle between *F(t)* and *F'(t)* is constant for a given vector function

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Compute derivatives of *F(t) = log (1+t*^{2}) **i** + arctan t **j** + 1/(1+t^{2}) **k**

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Compute derivatives of *F(t) = cosh t ***i** + sinh (2t) **j** + e^{-3t}**k**

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Compute derivatives of *F(t) = 2e*^{t}**i** + 3e^{t}**j**

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Compute derivatives of *F(t) = (arcsin t, arccos t)*

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Compute derivatives of *F(t) = (cos t, sin*^{2} t, sin (2t), tan t)

Compute the vector valued integral

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Compute the vector valued integral

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Compute the vector-valued integral

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Compute the vector-valued integral

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Consider the vector-valued function

Prove that the angle between and is a constant.

*Proof.* First, we have

Thus,

Hence, and are orthogonal, so the angle between them is constant,

Compute the derivatives and of the vector valued function

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Compute the derivatives and of the vector valued function

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Compute the derivatives and of the vector valued function

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Compute the derivatives and where is the vector valued function

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Compute the derivatives and of the vector valued function

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