The curve shown below is given by the parametric equations x = sin(3t) y = cos(2t) for =

The curve shown below is given by the parametric equations a: = sin(3t) y = cos(2t) for z < t < 7. (a) (2 points) What is the value of the parameter, t, where the curve crosses the x-axis? (b) (6 points) What is the slope of the tangent line to this curve where it crosses the x-axis? (c) (4 po(nts) Write down, but do not evaluate an integral for the arclength of this curve