1. r > 0 ; 0 < θ < 2π
r = 3 ; θ = (π/3)
( 3 ; (π/3) )
2. r < 0 ; 0 < θ < 2π
r = -3 ; θ = (5π/3)
( -3 ; (5π/3) )
1 2 3 4 Identify the coordinates of the point in polar form based upon the...
1 2 3 4 Identify the coordinates of the point in polar form based upon the given conditions. Use pi for. r> 0 and 0 < < 2 ) 1 < 0 and 0 <O< 2 2
(a) Find Cartesian coordinates for the polar point (-1, -1) and plot the point. (b) Find Polar coordinates with r > 0 and -1 < <a for the Cartesian point (-1, V3) and plot the point. (c) Convert the equation x2 + y2 = x to polar form and sketch the curve. (d) Convert the equation r = 5 csc @ to Cartesian form and sketch the curve.
Find the rectangular coordinates for the point whose polar coordinates are given. 8 TT 6 (x, y) = ) =( Convert the rectangular coordinates to polar coordinates with r> 0 and 0 se<2n. (-2, 2) (r, 0) Convert the rectangular coordinates to polar coordinates with r> 0 and O So<211. (V18, V18) (r, ) = Find the rectangular coordinates for the point whose polar coordinates are given. (417, - ) (x, y) =
Find a polar equation of the form r = f(@), where r > 0, for the curve represented by the Cartesian equation x2 + y2 = 9. Note: Since is not a symbol on your keyboard, use t in place of 0 in your answer. =
(1 point) Using polar coordinates, evaluate the integral ST sin(x2 + x>)dA where Ris the region 1 5x2 + y2 549. 1.080
Part (b) only,
The Cartesian coordinates of a point are given. (a) (-6, 6) (i) Find polar coordinates (r, 0) of the point, where r> 0 and 0 5 0 < 21. (6, 6) = ( 6v2, 37 (ii) Find polar coordinates (r, O) of the point, where r<0 and 0 S 0 < 21. (5, 6) = ( -622, 71 (b) (3,3V3) (i) Find polar coordinates (r, 0) of the point, where r>0 and 0 = 0 < 21....
3. [-14.5 Points] SCALCET8 10.3.501.XP. Find two other pairs of polar coordinates of the given polar coordinate, one with r> 0 and one with r < 0. Then plot the point. (4,2/2) (r, 8) - (r> 0) (r, o) - (r< 0) (b) (3, -2x/3) ir > 0) (r< 0) (r, 0) = . (c) (-3, 3/6) (r, ) = (r> 0) (r< 0)
(1 point) The set >-{[12][13) 45 is a basis for R2. Find the coordinates of the vector i [13] relative to the basis B. []B =
8 3 2 1 2 1 2 3 -1 Based on the graph of g(x), select all statements that are true about this function. A) g(1)=g(-1) B)g(0)>g(1) C) g(2)=g(0) g(1)-9(-2) 3 g(1)-90) A B D
Find two sets of polar Coordinates for the point for os @ <211. - r = smaller Value large ualere