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The area enclosed by the smallest loop of the curve C whose equation in polar coordinates...
help me question 3 stated 1 V3 1, Determine the polar coordinates of the point (z,y) 2, Determine the line tangent to the polar curve T 1+cos θ when θ Be sure to write your line in the form y mx +b 3. Determine the area enclosed by the polar curve cos(28), 0 θ < 2π r Determine the area of the inner loop of the the polar curve stated 1 V3 1, Determine the polar coordinates of the point...
Select the curve generated by the polar equation: p = 2 + cos(0) Then, find the area enclosed 1 -2 X st Area:
(1 point) Find the area of the inner loop of the Imacon with polar equation r-7 cos θ-2 =cos-1(3) Answer: (1 point) Sketch the segment r-sec θ for 0 θ Then compute its length in two ways: as an integral in polar coordinates and using trigonometry (1 point) Find the area of the inner loop of the Imacon with polar equation r-7 cos θ-2 =cos-1(3) Answer: (1 point) Sketch the segment r-sec θ for 0 θ Then compute its length...
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...
Use a double integral to find the area enclosed by a loop of the four leaved rose r = 3 cos(2θ). Please mark the answers EXAMPLE 3 Use a double integral to find the area enclosed by a loop of the four leaved rose r-3 cos(26) SOLUTION From the sketch of the curve in the figure, we see that a loop is given by the region So the area is /4 3 cos(28) Video Example dA= n/a 3 cos(26) -π/4...
Question 8 Select the curve generated by the polar equation: r=sin(20) Then find the area enclosed by one petal & Q Q B Q Area: • Question 9 Write the power series representation of the following function and find the interval of convergence of the power series (in interval notation) f(0) = 27 6 + 73 00 f(x) = n=0 Interval of Convergence:
14. Find the area A enclosed by the function r= 3+ 2 sin 0 . (Note: Assume functions, that are in the plane, of r and 0 are generally polar functions in polar coordinates unless specified otherwise.) 15. Find the area A enclosed by one loop of the function r=sin(40). (Hint: This problem is similar to the area enclosed by an inner loop problem, in this petal function each petal has equivalent area.) 16. Find the area A enclosed by...
AME: 2. (24pts) Consider the curve given in polar coordinates by r-12 cos(0) Vsin(0), (0 0 < #). (i) Make a table of the values of the function f(0)--12 cos(0)/sin(0) /6 /4 n/3 5m/12 m/2 7m/12 2n/3 3n/4 5n/6 11 m/12 f(0) are to be rounded to two decimal places. (Hint. Given on 0, r); all the values f(0) an angle 9, enter the value of 0 to the variable C of your calculator, and then evaluate /(0) using the...
16 cos(20). 3. a. Sketch the Polar equation Use the method LI max, r- o) CSİ Sct.e Calculate dy/dx at theta = pi/6. CamScanner c. Calculate the area enclosed by one leaf of the graph. 16 cos(20). 3. a. Sketch the Polar equation Use the method LI max, r- o) CSİ Sct.e Calculate dy/dx at theta = pi/6. CamScanner c. Calculate the area enclosed by one leaf of the graph.
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...