Question 6. Write the cartesian equation of the sphere centered at (0, 3, –1) of radius 5. Write a parametric equation for the intersection of this sphere with the plane y = 0.

A second car also leaves at noon and drives in a southwesterly direction. At 2 pm, its location (777, 370); at 5 pm, its location is (648, 325). Write a set of parametric equations to describe its movement. Fill in the blanks. Give decimal values to three places. X = t + t +

You are watching your friend ride a Ferris wheel whose radius is 40 feet and center at (0,43). When you start watching your friend at t=0, they are at the highest point of the Ferris wheel. You notice the wheel is spinning clockwise at a rate of 120 seconds per revolution. Create a parametric equation that represents your friend's position at t seconds. DO NOT USE A CALCUATOR.

4. Use the parameter t to write parametric equations representing a circle with center (2, -3) and radius 6. SHOCK