Please help me to answer following questions.

Epicycloids An epicycloid is similar to a hypocycloid except that the path is formed by a point on the edge of a circle of radius b rolling along the outside of a circle of radius a. The parametric equations for the curves are x= (a|+b)cos(9)-boos(a 2 b 9),y=(a+b)sin(9)-bsin(a + b 9). This portion of the module works similarly to the hypocycloid portion. Epicycloids Select "Epicycloids" from the pull-down menu. (a) What happens if the ratio % is not an integer? I This answer has not been graded yet. Graph the epicycloid for a = 7, b = 4. What parameter domain is needed to see the entire curve? (Enter your answer using interval notation.) [0,27t] How many cusps do you see in the graph? 1.75 x (b) Graph the epicycloid for a = 7, b = 5. What parameter domain is needed to see the entire curve? (Enter your answer using interval notation.) How many cusps do you see in the graph? 1.2 X (c) Graph the epicycloid for a = 8, b = 3. What parameter domain is needed to see the entire curve? (Enter your answer using interval notation.) How many cusps do you see in the graph? (d) Find a relationship between the ratio % and the parameter domain needed to complete the curve? Hint: Look at the smallest integer c required to make (%)c an integer. /