Replace the polar equation with an equivalent Cartesian equation. 1 11) r= 7 cose - sin...
Replace the polar equation with an equivalent Cartesian equation. r2 + 2r -2 sin e cos 0 = 144 O X + y = $12. O x + y = 12 x² + y² = 144 O x2 + 3y2 = 144
Replace the Cartesian equation y = 19 with an equivalent polar equation Question 1 The equivalent polar equation is (Type an equation using rando as the variables. Type an exact answer, using t as needed.) Graph the curves r= 2 + 4 cos 0 and r= 2 + 4 sin 0. Question 2 Identify the correct sketch of r= 2 + 4 cos 0. OA. OB. O c. OD -8 pi -8 Identify the correct sketch of r= 2 +...
Graph the polar equation r=6 sin 30 OD Convert the Cartesian equation to a polar equation that expresses r in terms of e. (x + 3)² + y² = 9 = (Type an expression in terms of 0.)
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 =...
For the following polar equation write an equivalent rectangular equation. r=5 csc e The equivalent equation in rectangular form is (Type an equation)
Question 9 < Rewrite the polar equation r = 3 sin() as a Cartesian equation. Submit Question tv
coondinates all the polar the polnt Cartesian coondinates of the given point 13) B) a, 0) ๑ (.3, 0) Find the polar coordinates, os02n and ro, of the point given in Cartesian coordinates. 14) 14) (-2, 0) Replace the polar equation with an equivalent Cartesian equation. 15) 15) rcos θ" 11 D) 1ly-1 B) 11x -1 A)x 11 FORM A
coondinates all the polar the polnt Cartesian coondinates of the given point 13) B) a, 0) ๑ (.3, 0) Find...
Write an equivalent equation using polar coordinates. 3x-y=6 The polar equation is r= : sin cos
(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.
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...