ALL THE BEST...!!
A Cartesian and a polar graph of r=2- 6 cos (30) are given. Identify the points...
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.)
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.
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
Consider the function r 2 cos(6) + sin(26) θ (a) By looking at the Cartesian graph, where is r 0? (For 0 21. Enter your answer using interval notation.) (b) Explain why quadrants Il and Ill of the polar graph are empty (c) How many values of θ for 0 θ satisfy r= 1? (d) The polar graph intersects the unit circle 4 times. Explain the discrepancy with you answer to part (c). Consider the function r 2 cos(6) +...
6 Sketch the graph of r = 2 + 2 cos on Cartesian axes. Which of the following grap the best representation? - - O СА. CB. АА n C --- c. https://wits-e.wits.ac.za/portal/site/MATH 1042-2020-SM 1/tool/583214f7-5580-49da-936d-25a0d4af5e8dstiprintiprintAssessment 5/22/2020 University of the Witwatersrand - Wits-e : MATH1042-2020-SM1 : Tests & Quizzes N - n/a ins 23 ma mo D.
Plot the points whose polar coordinates are given. Find the Cartesian coordinates of the points. (a) P (1,7) (b) Q (-2, ) (C) R ( 33)
for r = 5 + 5cosθ A. Graph the polar function. B. Find two polar points that fit your function. (Pick an angle for θ, plug it into your function, and calculate the value of r. Write your answer in the polar coordinates form (r, θ). Repeat for a second point.) C. Find the Cartesian equivalents (x,y) for the two polar points you found in part B. (Use the conversion formulas x = rcosθ and y = rsinθ for converting...
Sketch the graph of r = 2 by finding the set of points whose polar coordinates have r = 2 (along with any 8). Check by finding a Cartesian formula for this shape (hint; in the notes we have a formula for p in terms of ar and y) Sketch the graph of 0 = by finding the set of points whose polar coordinates have 8 = 4 along with any r. Check by finding a Cartesian formula for this...
A curve in polar coordinates is given by: r = 9 + 2 cos θ Point P is at θ = 20π/18 (1) Find polar coordinate r for P, with r > 0 and π < θ < 3π/2. (2) Find cartesian coordinates for point P (3) How may times does the curve pass through the origin when 0 < θ < 2π?
If the cartesian coordinates of a point are given by (2, y) and its polar coordinates are ( r, 30° ), determine y and r . Question 4 options: a y=2.15, r=3.00 b y=1.15, r=5.31 c y=1.15, r=4.00 d y=2.15, r=2.31 y=1.15, r=2.31