
2. Carefully sketch the curve whose polar equation is r -7 cos(6). Include work that shows how you drew the graph. 3. Carefully sketch the curve whose polar equation is r 2+sin . Include work that sh...
number 1and2
Turn in the following problems at the start of your Thursday recitation section To receive full credit, please staple your work, and put your name, your section number, and the homework number at the top. 1. (a) Find a Cartesian equation for the polar curve 3 sin 4 +4cos 6. (b) Use the Cartesian equation you found in part (a) to graph the curve. What is its geometric shape? 2 Carefully sketch the curve wheose polar equation isr...
Sketch a graph of the polar equation r = 5 - 6 cos(6), n 2 IT 0 6 8 10 12 2 6 8 10 12 O NI 0 B 24 6 8 10 12 10 12
2 photos but they are the one question
If a curve whose polar equation is r = f() is rotated about the pole though an angle $, then an equation for the rotated curve is r = f(-6). write an equation for the limaçon r = 3 - sin after it has been rotated counterclockwise by the given amount. Use a graphing utility to graph the rotated limaçon for 8 = 7/4, e = 7/2, 8-, and 0 = 3/2....
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 =...
If a curve whose polar equation is r-r0) is rotated about the pole though an angle φ, then an equation for the rotated curve is r " no- Write an equation for the limeçon「-4-sin θ after it has been rotated counterclockwise by the given amount. Uso a graphing utility to graph the rotated limaçon for θ m/4, θ-n/2, θ π, and 3a/2. (Match the rotation to the correct graph.) (a) θ π/4 rotation r- graph (b) /2 rotation r- graph...
6. Use a graphing device to graph the following polar curves. Sketch the graph and explain how you determined what parameter interval you need to use to ensure that you produced the entire curve: a. r=esine – 2 cos(40) r=1+cos 9990
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.)
Write an equivalent equation using polar coordinates. 3x-y=6 The polar equation is r= : sin cos
(1 point) A curve with polar equation r = 5 sin 0 + 36 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.
Urgent help needed related these simple calculus questions !
Thanx
5. Sketch the polar curves [3] (a) 2-2 cos θ [3] (b) 2-cos 20. 66. Find the equation of the tangent line to the given polar curve r- 3-cos θ at the point- 101 7. Use the Riemann sum compute the area under the curve of 23 from r:--1 to x-0.
5. Sketch the polar curves [3] (a) 2-2 cos θ [3] (b) 2-cos 20. 66. Find the equation of...