{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

tr-t4n-a

# tr-t4n-a - NAME Very Brief Answers TEST-04/MAC1114 Page 1...

This preview shows pages 1–2. Sign up to view the full content.

NAME: Very Brief Answers TEST-04/MAC1114 Page 1 of 4 Read Me First: Show all essential work neatly. Use correct notation when presenting your computations. Write using complete sentences. In particular, be very careful when using "=", equals , and " ", implies . Do not "box" your answers. Communicate. 1. (15 pts.) Identify each of the following polar equations as completely as possible by transforming each equation to rectangular coordinates. [These are fairly easy!!] (a) θ = -(1/6) π This is the straight line through the origin defined by the equation y = -tan( π /6) x = -3 -1/2 x. (b) 2r sin( θ ) = 3r cos( θ ) This is the straight line through the origin defined by the equation 2y = 3x. (c) r = 3 This is the circle centered at the origin with radius equal to 3. Its rectangular equation is x 2 + y 2 = 9. (d) r = 2 sin( θ ) This is the circle with the following rectangular equation: x 2 + (y - 1) 2 = 1. Consequently, its center is at (0,1) and it has a radius equal to 1. (e) r cos( θ ) = -4 This is simply the line parallel to the x-axis defined by x = -4.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}