Which of the given graphs corresponds to the following equation in polar coordinates? r = 2...
Consider the following Polar Graphs: Figure 1 is below: Figure 2 is below: Polar Axis b* Polar Axis Figure 3 is below: Figure 4 is below: If ifik 1001kle Polar Axis Polar Axis Figure 5 is below: Figure 6 is below: Polar Axis Polar Axis Figure 7 is below: Figure 8 is below: Polar Polar Axis | Ε Figure 9 is below: Figure 10 is below: 18181% a d Polar Axis" Polar Axis Figure 11 is below: Figure 12 is...
5. Consider the polar graphs, r = 1-sin θ and r = sin θ , shown in the figure below. Find the polar coordinates (r, θ) for all the points of intersection on the figure. a) b) Find the area of the region that lies inside both the graph of r-1-sin θ and Find the slope of the line tangent to the graph of r-1-sin θ at θ-- Find a Cartesian equation for the line tangent to the graph of...
7) The graph of r = Sin 2θ is given in both rectangular and polar coordinates. Identify the points in (B) corresponding to the points A-I in (A), with corresponding intervals.8) Describe the graph of: r = a Cos θ + b Sin θ 9) Write the equation, in polar coordinate, of a line with (2, π/9) 5 the closest point to the origin.
#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...
Write an equivalent equation using polar coordinates. 3x-y=6 The polar equation is r= : sin cos
Help with 7A & 7B Which of the answer choices correctly graphs the polar equation below? r = 4csc (0) Given the point (10, of the point? ) in polar coordinates, what are the Cartesian coordinates 0 (-5,573) 0 (-573, -5) (5 – 5/3) 0.(-5, -5/3) (5,5/3) (5/3,5)
2. a) Show that the (signed) curvature for a curve in polar coordinates (r, 0) is given by where ro denotes do Hint: derive the formulas r-r(0)cosa, y-r(θ)sin θ with respect to θ b) Compute the signed curvature for the cardioid r(0) 1-sin θ Sketch the curve with a suitable plotting tool. 2. a) Show that the (signed) curvature for a curve in polar coordinates (r, 0) is given by where ro denotes do Hint: derive the formulas r-r(0)cosa, y-r(θ)sin...
The letters x and y represent rectangular coordinates. Write the given equation using polar coordinates (1.0). 5x² + 5y² = 6 Select the correct equation in polar coordinates below. OA. TE OB. 7 = 1/35 OCZ 5(cos + sin ) 6 5(cos + sin ) OD. 6 "- 5
thats all no more information. 36. Question Details LarCalc11 10.R.065 My No The rectangular coordinates of a point are given. Plot the point -1,2) -42 -2 -2 Find two sets of polar coordinates for the point for 0 smaller 8-value r, 6)- larger 9 value)- θく2 (Round your answers to three decimal places.) 37. Question Details LaiCalc11 10.R 107 МУ Notes Use a graphing utility to graph the polar equation. common intariar of r - 4 -2 sin( and4+2 sin(0)...
(a) Label each of the polar equations with the corresponding graphs labeled I-III, or mark None' if the graph of the equation is not shown. Justify your answers. 1. r = 62, 0 <O< 167 2. r= 2+ sin(30) 3. r = 2 cos(0) 4. r= 1 + 2 cos(0) I II III pilot (b) Set up (but do not compute) the integral to determine the area of the shaded region bounded by the curve in polar coordinates. X r...