For t > 0, a particle moves along the curve x = a + b sin kt, y = a + b cos kt, where a, b, and k are positive constants.(a)(b) what is the effect on the curve of the following changes? .a, a+b(i) increasing bmoves the center away from the origin along y = xincreases the radius makes the particle move slower and increases the periodmakes the particle move faster and reduces the periodmakes the curve touch both the x- and y-axes at the points (a, 0) and (0, a), respectively(ii) increasing amoves the center away from the origin along y = xincreases the radius makes the particle move slower and increases the periodmakes the particle move faster and reduces the periodmakes the curve touch both the x- and y-axes at the points (a, 0) and (0, a), respectively(iii) increasing kmoves the center away from the origin along y = xincreases the radius makes the particle move slower and increases the periodmakes the particle move faster and reduces the periodmakes the curve touch both the x- and y-axes at the points (a, 0) and (0, a), respectively(iv) setting a and b equalmoves the center away from the origin along y = xincreases the radius makes the particle move slower and increases the periodmakes the particle move faster and reduces the periodmakes the curve touch both the x- and y-axes at the points (a, 0) and (0, a), respectively