1. Rosal - points) A. points) Sketch the curve with the given polar equation by first...
Polar Coordinate Problems 1. Identify when the function decreases when changing r2sin (29) = a(-1]b to coordinates Cartesian a = 1, b = 5 2. Draw the polar curve given byr = a (b + c cos (@)) in 0 s@sx/2. Find the arc length of that curve. a = 1, b = 5,C=-7 Sequences and series. For series, identify the method or technique to be used before applying it. If you are going to use root criterion, reason criterion,...
15 only please 15. 1 points OSCalc1 9.1.046-053b.WA.Tut Determine the limit of the sequence or show that the sequence diverges. If it converges, find its limit. (If the quantity diverges, enter DIVERGES.) (-1n+4 8 Tutorial Additional Materials eBook 16. 1 points OSCalc1 9.1.046-053c.WA.Tut Determine the limit of the sequence or show that the sequence diverges. If it converges, find its limit. (If the quantity diverges, enter DIVERGES.) 3(n+1) a n! Tutorial Additional Materials eBook 15. 1 points OSCalc1 9.1.046-053b.WA.Tut Determine...
s(100) 10.Find the area enclosed by the polar curve r = 5 cos 10 12.57T 257T 11. Determine whether the series is convergent or divergent by expressing it as a its sum telescoping sum. If it is convergent, find 00 In n+1 n=1 1 O In 2 -1 O The series is divergent. 12. Use the Comparison Test or the Limit Comparison Test to determine if the following series converges or diverges. 3 5 n=1 n5+5 converges diverges s(100) 10.Find...
005 10.0 points Determine whether the sequence {an} con- verges or diverges when en = (-1)" (5n+) (5n+7) (5n+4) and if it does, find its limit. 1. sequence diverges 2. limit = 0 3. limit = +1 4. limit 5. limit = 1 006 10.0 points Which of the following sequences converge? A. _2n | 3n +4J 4en +6) 5n+6 C. {_3en1 C. (4+2en) 1. A and C only 2. B only 3. none of them 4. A, B, and...
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 shows how you drew the graph. 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 shows how...
just make circle questions which 2,(b) and 3,(i) thank you 2. (Polar Coordinates: Polar Plots). (a) Consider the curve given in polar coordinates (i) Use a scientific calculator to fill in the following table with the (approximations of) values of the function r(0) on π, π r(e) (the approximations of the values r(e) must be good to at least two decimal places). (i) Use the graph paper for the polar coordinate system (attached to the assignment sheet) to plot the...
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?
Homework #6.3, Math 111, Due Friday, November 22. Complete the problems on a separate sheet of paper. Answer in complete sentences, and show your work when necessary. Make a copy for your notes. 9.3 Polar Coordinates There is a very specific set of parametric curves that is worth diving into: polar coordinates. Basically it makes circular things easier to formulate. 1. Write the two sets of equations for converting Cartesian to polar and vice versa. 1. I= y= 2. p2...
1. Convert the following (x,y) Cartesian coordinates to (r, theta) polar coordinates (record theta first in degrees and then radians): a) (12,5) [m] b)(-6.3,2.2) [m] 2. Convert the polar coordinates (13, 5.888) [m, rad] to Cartesian. 3. Find the angular momentum of a 2kg ball relative to the origin if the ball is mivung 3 m/s, 20° north of east the instant it is at (2, -3) [m] in relation to the origin. Sketch all of your vectors and show...