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Centroid of Plane area (Integ. Calc.)
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- Fast pls solve this question correctly in 5 min pls I will give u like for sure Anu Integrate f (x, y) = y over the top half of the circle (x − 1)2 + y2 = 1 in two ways a) In rectangular coordinates. b) In polar coordinates10.2 37)Find the area enclosed by the given parametric curve and the y-axis.1) Represent I with the ordered of integration dydx 2) Represent I using polar coordinates
- Find the area enclosed by the simple closed curve given by the parametric equations, x = 2cost + cos2t and y = 2sint − sin2t for t ∈ [0,2π]. The graph is shown below.Use the integration capabilities of a graphing utility to approximate the area of the surface formed by revolving the polar equation over the given interval about the polar axis. r = 4 cos 2θ, [0, π/ 4]Consider the surface S shown in the graph, whose parametrization is given by: r (u, v) = (1 + 2v, 3uv, 4 - u2), where 0 ≤ u ≤ 2, 0 ≤ v ≤ 2 (see attached image with the graph) The surface differential, dS, is given by: (see image with possible answers)
- Find the area of the region which is inside the polar curve r=3cos(theta) and outside the curve r=2-1cos(theta)Fast pls solve this question correctly in 5 min pls I will give u like for sure Sini find the surface area of the part of the paraboloid z=x^2+y^2 that lies between the planes x = 1 and x = 4.2. Consider the polar curves r = 4 - 2cosθ and r = 2 + 2cosθ. In this problem, we want to find the area of A, B, and C pictured below. (c) B is the area inside both r = 2 + 2cosθ and r = 4 - 2cosθ. Find the area of B. (Hint: What happens at the angle where the two polar curves intersect? Your answer should involve a sum of two polar integrals.)
- Consider the parametric equations x = a cos3 t and y = a sin3 t with 0 ≤ t ≤ π. Find the surface area of the solid obtained by rotating the region about the x-axis.The motion of a fluid particle is defined parametrically as follows,x(t) = sinh(t), and y(t) = cosh(t). Show that [please see image]1.Given x=3( θ-sin θ) and y=3( 1-cos θ) a. Trace the parametric curve b. Find dy/dx c. Find d/dx2 2. If z=ln (x-y) +tan (x+y) find zxx and zyy