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Parametric form of a curve, cartesian points, tangent vector, and speed.

Parametric form of a curve, cartesian points, tangent vector, and speed.

Intersection points, tangent vectors, angles between pairs of curves, given in parametric form.

Calculation of the length and alternative form of the parameteric representation of a curve, involving trigonometric functions.

Curl and divergence of a vector field.  Determine whether the vector field is irrotational or solenoidal.

Divergence of vector fields.

Directional derivative of a scalar field.

Gradient of $f(x,y,z)$.

Should warn that multiplied terms need * to denote multiplication.

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Dummy question to test random() function when first decimal place of upper limit of range is 4, and test of currency() function.