Plz solve 1st question Section 3.1 Coordinate Systems
WEB 1. The polar coordinates of a point are r = 5.50 m and
0 = 2400. What are the cartesian coordinates of this
point?
2. Two points in the xy plane have cartesian coordinates
(2.00, — 4.00) m and (— 3.00, 3.00) m. Determine
(a) the distance between these points and (b) their po-
lar coordinates.
3. If the cartesian coordinates of a point are given by (2, y)
and its polar coordinates are (T, 300), determine y and T.
4. TWO points in a plane have polar coordinates (2.50 m,
30.00) and (3.80 m, 120.00). Determine (a) the carte-
Sian coordinates of these points and (b) the distance
between them.
A fly lands on one wall of a room. The lower left-hand
corner of the wall is selected as the origin ofa two-
dimensional cartesian coordinate system. If the fly is lo-
cated at the point having coordinates (2.00, 1.00) m,
(a) how far is it from the corner of the room? (b) what
is its location in polar coordinates?
6. If the polar coordinates of the point (x, y) are (r, 9),
determine the polar coordinates for the points
(a) (— x, y), (b) (—2x, —2y), and (c) (3x, —
