Find parametric equations and a parameter interval for the motion of a particle that starts at (-a, 0 )and traces the circle x^2 + y^2 = a ^2.

a. once clockwise.

b. once counterclockwise.

c. three times clockwise.

d. three times counterclockwise.

a)

b)

c)

d)

Step-by-step explanation:

The parametric equation for a circle is:

Where a is the radius and b is the angular displacement.

a) If a is negative in y and 0 ≤ b ≤ 2π, we have clockwise moves.

b)  If a is positive in y and 0 ≤ b ≤ 2π, we have counterclockwise moves.

c) If a is negative in y and 0 ≤ b ≤ 6π, we have three times clockwise moves.

d) If a is positive in y and 0 ≤ b ≤ 6π, we have three times counterclockwise moves.

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image result for what is another name for consecutive interior angles? ​

when two lines are crossed by another line (called the transversal): the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. in this example, these are consecutive interior angles: d and f.

step-by-step explanation: