Urgent help needed related these simple calculus questions ! Thanx
Urgent help needed related these simple calculus questions ! Thanx 5. Sketch the polar curves [3] (a) 2-2 cos θ [3] (b)...
5. The graphs of the polar curves r-4 and r-3 + 2 cos θ are shown in the figure above. The curves intersect 3 (a) Let R be the shaded region that is inside the graph of r-4 and also outside the graph of r 34 2 cos θ, as shown in the figure above. Write an expression involving an integral for the area of R. (b) Find the slope of the line tangent to the graph of r :-3...
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...
(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...
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?
3. (Polar Coondinates: Areca of a Region). For each of the following regions, bounded by curves given in polar coordinates: sketch the bounding curves, shade the corresponding region. find its area, and then round the answer to five decimal places 1-cos Use the WolframAlpha website to obtain sketches of the required curws say, in order to plot the required part of the third curve in (t), enter the command polar plot r7/(1-cos(theta)), theta pi/4 to pi/2) at the website 3....
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...
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...
The region inside the curve r= 4 cos θ and outside the curve r = 2. r(t) 2 rt)4cos(t) -1 What are the coordinates of the point where the two circles intersect at the top of the picture in terms of (r,0) What are the coordinates of the same point in cartesians coordinates (x.y)? Give an equivalent version of the point in polar coordinates with r <o. What is the slope of of the tangent line to the circler 2...
Given the polar Curves r= 1-cos(e) and r= 1+ cos(O); $$1,1, O Veq \theta \leq 2\pi$$. a) Sketch the region which is insider=1+cos() and outside r=1-cos(e). b) Find the area of the region that is inside r = 1+ cos(e) and outside r = 1-cos(0). Show your answer in details.
2) Consider polar curre r=4coso and r=1+2 caso r=1+2 cos r=4coso B A a) Find ALL intersection points of the two curves, where osos2a, and Express them in polar coordinates b) Find the area inside the shaded loop of the curve r=1+2 cose C) Find the length of r=4cose from A to B as a increases, where A is the intersection of the two curres in quadrant II, and B is the intersection of the curve r=4cose with the positive...