UUIILS Sdve (6pts) Find the length of the polar curve =4-2 COS O an tl on...
The length of the polar curve r = 5 cos O is Select one: 27 5 ᏧᎾ 211 5 2 cos e de 21 1 - sin’e de TT 3 cos? o de o jis do
Set up (but do not evaluate) an integral to determine the arc length of the curve y = x2 from x = 0 to x = 2. 3 (12pt) TT TT Paragraph Arial %D9 ==== T TY TO ABC Evaluate the integral found in the previous question using Simpson's rule with n = 4. Round your answer to 4 decimal places
(a) Find the points on the polar curve r = 2(1 – cos(0)) where the tangents are horizontal. (b) Find the points on the polar curve r = 2(1 - cos(0)) where the tangents are vertical. (c) Find the length of the curve. FIGURE 3. r = 2(1 - cos(O)).
Problem 2 Does the period, T, change when you change the length of the string, L? If so, how so? TT TT Paragraph 4 Arial 3 (12pt) E E - T-
Marks 4 3. Find the length of the curve x t + cos t, y= t - sin t on the interval 0<t<2m. Marks 4 3. Find the length of the curve x t + cos t, y= t - sin t on the interval 0
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...
3 TT Find the slope of the tangent line to polar curve r = 7 – 6 sin 0 at the point ( 7 – 6- 2 2 3 TT TT Find the points (x, y) at which the polar curve r = 1 + sin(e), 0 < has a vertical 4 4. and horizontal tangent line. Vertical Tangent Line: Horizontal Tangent Line:
please show detailed solution, thank you Find the length of the curve described by the polar equation. e = COS 2
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...
Find the slope of the tangent line to the polar curve: r = = 2 cos 6, at 0 = 1 Find the points on r = 3 cos where the tangent line is horizontal or vertical.