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
polar points to Cartesian coordinates.
Write your equivalent Cartesian coordinates points in form (x,y).
)
D. Plot (and label) your two points on your graph in Part A.
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...
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...
(3 points) (a) The Cartesian coordinates of a point are (-1,-V3) (i) Find polar coordinates (r,0) of the point, where r > 0 and 0 < θ < 2π. (ii) Find polar coordinates (r,0) of the point, where r < 0 and 0 < θ < 2π. Y= (b) The Cartesian coordinates of a point are -2,3) (i) Find polar coordinates (r,0) of the point, where r > 0 and 0 < θ < 2π. (ii) Find polar coordinates (r,0)...
The polar coordinates of a certain point are (r = 3.50 cm, θ = 211°). The polar coordinates of a certain point are (r = 3.50 cm, e = 211°). (a) Find its Cartesian coordinates x and y. x = -3.04 cm y = -1.8 cm (b) Find the polar coordinates of the points with Cartesian coordinates (-x, y). r = 3.53 cm e = -1.69 Your response differs significantly from the correct answer. Rework your solution from the beginning...
1. in Matlab, write a user-defined function, with two input (r,theta) , θ expressed in degrees) and two output arguments (X,Y). The inputs are a location on a polar coordinates corresponding to Cartesian plane expressed in rectangular coordinates. The picture below describes the problem. X, Y rcos θ Some formula that you may need: x = r * cos (theta * pi/180); y r * sin(theta * pi/180); Test your code for r=7, theta=55° and present your results.
Sign In d share 1. Plot the points (r, θ)-(3, π), ( 2år) , (1, π/4) and find the Eport PDA Create FDF Edit PDF rectangular (Cartesian) coordinates of the ponts without using a ca culator 2. Plot the point with rectangular coordinates (z, y)- and find the polar coordinates (r,0) for the point with r > 0 and 0 < θ < 2π without using a calculator. Then, find two other ways to write the point in polar coordinates....
Find two other pairs of polar coordinates of the given polar coordinate, one with r> 0 and one with r< 0. Then plot the point. (a) (5, 5t/3) (r, θ) (r, θ) = (r>o) (r 0) (r < 0) (r 0) (r, θ) (r < 0) = Find two other pairs of polar coordinates of the given polar coordinate, one with r> 0 and one with ro) (r 0) (r
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) +...
019.09 points | Previous Answers SerCP9 1.AE.009 EXAMPLE 1.9Cartesian and Polar Coordinates GOAL Understand how to convert from plane rectangular coordinates to plane polar coordinates and vice versa. y (m) PROBLEM (a) The Cartesian coordinates of a point in the xy-plane are (x,y) (-3.50 m, -2.50 m), as shown in the NY figure. Find the polar coordinates of this point. (b) Convert (r, θ) = (5.00 m, 37.0°) to rectangular coordinates x (m) (-3.50,-2.50) STRATEGY Apply the trigonometric functions and...
Below is a graph of the circle r = 4 cos θ and the circle r = 2. y x −1 1 −2 2 −2 −1 1 2 3 4 (i) Find the polar coordinates of both intersection points of these two curves. (Note: show all of your work) (ii) Set up (but do not evaluate) an integral that represents the area inside of the circle r = 4 cos(θ) and outside of the circle r = 2. (Note: no...
-27 (125-14)- Graph the two points given below and answer the following question. A Yes" or 'No without a graph will not be graded. Determine if the given polar coordinates represent the same point. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find all the polar coordinates of the point. 5) 5) (-9, r/3) A) (9, 4n/3+2nnt). (-9, T/3+2nn) Find the Cartesian coordinates of the given point. 014 4 A) (2/3,-2) Form A...