1. The witch of Agnesi curve shown in red in the diagram below is used to model water waves and the distributions of spectral lines The parametric pair describing what you see is: x = 2a tan(@t) and y= 2a cos²(@t) where a is the radius of the circle and o the angular velocity the circle is "traveling" at. Both a and a are (10] constants. dy 1.1 Determine an expression for dx = y'. Simplify this expression in terms of sin(@t) and cos(@t). 1.2 Determine the acceleration vector a for the parametric pair. Simplify your vector in terms of sin(@t) and cos(ot).
1. The witch of Agnesi curve shown in red in the diagram below is used to model water waves and the distributions of spectral lines The parametric pair describing what you see is: x = 2a tan(@t) and y= 2a cos²(@t) where a is the radius of the circle and o the angular velocity the circle is "traveling" at. Both a and a are (10] constants. dy 1.1 Determine an expression for dx = y'. Simplify this expression in terms of sin(@t) and cos(@t). 1.2 Determine the acceleration vector a for the parametric pair. Simplify your vector in terms of sin(@t) and cos(ot).
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