17. Convert to polar coordinates: s ſ ydy dx a) SS»* sindrde b) S S-- sino...
V2 14-12 Convert to polar coordinates: s | ydy dx 0 x
#49,53,57
3- lar coordinates to polar coordinates will Polar Coordinates Convert blar coordinates with r> 0 and the ove describe of the the rectangular con 050<27. 37. (-1,1) be app 39. (V8, V8) 41. (3.4) 38. (3V3,-3) 40. (-V6, -V2) 42. (1,-2) 44. (0, -V3) your a (a) Yo (b) YO 43. (-6,0) Rectangular Equations to Polar Equations Convert the equation to polar form. 45. x = y *.47. y = x² 49. x = 4 46. x² + y2...
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Polar coordinates: 13. Describe the following curves: a./ r = 3, b./ r cos 0 = 3 c./ r sin 0 = 3 14. Convert from polar to rectangular coordinates: a./ r = 2 sino b./ r = 2 cos cos 15. Convert from rectangular to polar: a./ y=x2, b./ eV +2+y2 = 1 c./ ry = 1 Area calculation in polar coordinates. - sin
8.)Evaluate: a.) S 4x® dx. b.) ſ 4x2Vx3 + 3 dx. c.) S(x3 +1 )2 dx.
1.) Find the definite integrals a.) sdx b.) S dx x2-4x+9 c.) ſ 4arccos xdx d.) Se-3x sin 5xdx e.) S In(4 + x2)dx f.) s cosst dt sin t g.) St tan 5 2xsec 4 2xdx h.) ſ sin(-4x)cos3xdx
6. A point is given in rectangular coordinates. Convert the point to polar coordinates. (There are many answers). (2 pts) A) (4, -3) (2 pts) B) (-1,v3)
1. Convert the following (x,y) Cartesian coordinates to (r, theta) polar coordinates (record theta first in degrees and then radians): a) (12,5) [m] b)(-6.3,2.2) [m] 2. Convert the polar coordinates (13, 5.888) [m, rad] to Cartesian. 3. Find the angular momentum of a 2kg ball relative to the origin if the ball is mivung 3 m/s, 20° north of east the instant it is at (2, -3) [m] in relation to the origin. Sketch all of your vectors and show...
Q1 dx, 115 5xita dx. 2) ſ tan°4x dx . 3) 06-341 S[cos(x? 4) + 1) + xdx, 5) prove that I cscu du = -Inlcscu + cotul + c x2 + Q2 r3 dx 1) dx 2) sino cosºede , 3) /* sec°8 de , 4) * sec`e do , 4) , Port + 4 1 5) dx . 4- x2) 4 Q3 Answer A or B (graph the functions) A-Determine the area of the region enclosed by y...
Convert the polar equation to rectangular form and sketch its graph. r = 7 cot(0) csc(O) Step 1 The polar coordinates (r, e) of a point are related to the rectangular coordinates (x, y) of the point as follows. x=rcos(0) cos y = r sin(0) sin e Step 2 The given polar equation can be rewritten as follows. r 7 cote csco 1 r = 7 coto sino 2 sin(0) = 7 coto Converting to rectangular coordinates using x =...
(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.