10.2.36 Convert the following equation to Cartesian coordinates. Describe the resulting curve. 8 r= 4 cos...
Convert the following equation to Cartesian coordinates. Describe the resulting curve. 2 cos0-6 sin 0 r Write the Cartesian equation. Convert the following equation to Cartesian coordinates. Describe the resulting curve. 2 cos0-6 sin 0 r Write the Cartesian equation.
Convert the following equation to Cartesian coordinates. Describe the resulting curve. r= - 8 cos 0-6 sin 0 Write the Cartesian equation. Describe the curve. Select the correct choice below and, if necessary, fill in any answer box O A. The curve is a circle centered at the point with radius (Type exact answers, using radicals as needed.) B. The curve is a vertical line with x-intercept at the point (Type exact answers, using radicals as needed.) O C. The...
#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...
1. 2. 3. 4. (1 point) Eliminate the parametert to find a Cartesian equation for I=+2 y= 10 + 2t 2 = Ay? + By+C where A= and B = and C = (1 point) Consider the parametric curve: 2 = 8 sin 0, y = 8 cos 0, 0<<A The curve is (part of) a circle and the cartesian equation has the form 2? + y2 = R2 with R= The initial point has coordinates: 3 = !!! ,y=...
10. A student was asked to convert the Cartesian equation (2+2)2 + (y – 5)2 = 16 to Polar coordinates. Their steps are as follows: (2+2)2 + (y – 5)2 = 16 (r sin 6 + 2)2 + (r cos 6 - 5)2 = 16 m2 sin+ 4r sin 0 + 4 + y2 cosa 0 - 10r cos 0 + 25 = 16 p2 + 4r sin 6 – 10r cos 6+ 29 = 16 Answer: p2 = -4r...
Find the area of the specified region. 15) Inside one leaf of the four-leaved rose r 7 sin 2θ 16) Shared by the circles r 3 cos 0 and r-3 sin 17) Make sure you can also convert from Cartesian coordinates to polar form and find where on parametric and polar equations there are horizontal and vertical tangent lines. Find the area of the specified region. 15) Inside one leaf of the four-leaved rose r 7 sin 2θ 16) Shared...
(1 point) A curve with polar equation r = 27 8 sin 0 + 49 cos 0 represents a line. This line has a Cartesian equation of the form y = mx +b ,where m and b are constants. Give the formula for y in terms of x. For example, if the line had equation y = 2x + 3 then the answer would be 2 *x+3. Hint: multiply both sides by the denominator on the right hand side and...
A polar curve r = f() has parametric equations x = f(0) cos(8), y = f(0) sin(8). Then, dy f() cos(0) + f (0) sin(e) d/ where / --f(8) sin(0) + / (8) cos(8) do Use this formula to find the equation in rectangular coordinates of the tangent line to r = 4 cos(30) at 0 = (Use symbolic notation and fractions where needed.)
Express vector 10 C=—a, +r cos Odo +ap in Cartesian and Cylindrical coordinates. Find C(-3, 4, 0) and C(5, 7/2, -2). Cuma
8. (12pts) Convert the following points from polar coordinates to Cartesian coordinates a. (3 , 60°) b. (2.)