r = 3+4cosθ.
Find an interval for θ over which the graph is traced only once.
r = 3+4cosθ. Find an interval for θ over which the graph is traced only once.
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...
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...
Stir or the curve r θ; from θ 0 to θ 2π. 8. Find the eccentricity and classify the conic, and sketch the graph labeling the vertices. 12 6-2sin(8) Find the eccentricity and classify the conic, and sketch the graph labeling the vertices. Find the errentricit 5. Stir or the curve r θ; from θ 0 to θ 2π. 8. Find the eccentricity and classify the conic, and sketch the graph labeling the vertices. 12 6-2sin(8) Find the eccentricity and...
r+9 tan θ Find the area of the shaded region in the accompanying 2 figure. Is the graph of r = 9 tan 0,-2 <0 < 7: asymptotic to the lines x = 9 and x =-9? 9x/4) -(912 /2) csc θ ol The area of the shaded region is (Type an exact answer, using π as needed.) is the graph of r = 9 tan 0,-2 < 0 <乏, asymptotic to the lines x-9 and x =-9? ○No O...
all parts please PART II 7) (8 pts) Given the polar equation r = 6 sin θ, 0 θ π a) Graph and find the length of the graph geometrically. b) Find the length of the graph by integrating. 8.) (9 pts) Given the four-leaved rose r 2sin(26). a) Show the symmetries. b) Find the tangents of the leaf through the pole to determine the limits of integration. c) Find the area of one leaf. PART II 7) (8 pts)...
Find the value of r and θ. Solve for the variable over C. Find answers in rcisθ form. 1. x^6= 64i 2. -168 + 3x^2 = 2019
(A) Find the average value of the function over the indicated interval. (B) Graph the function and its average value over the indicated interval in the same viewing window. f(x)= [1,16] (A) Find the average value of the function over the indicated interval. (B) Graph the function and its average value over the indicated interval in the same viewing window. f(x)= [1,16]
2. Find the length of the curve traced by the fiunction vector r+ej +sin +5) k on the interval 0sts.
show work please Find the area under the graph of g(x) over the interval (-3, 2]. g(x) = 4x + 5, 2 < 0 20 - x, x > 0 Upload Choose a File
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...