Find the area of the shaded region bounded by y = 2x and y = xV49...
Evaluate (*V19x2 + 19y2 dA, where D is the shaded region enclosed by the lemniscate curve r = sin(20) in the figure. r2 = sin 20 0.5 os (Use symbolic notation and fractions where needed.) «V19x + 19da = 0 Use cylindrical coordinates to find the volume of the region bounded below by the plane z = 3 and above by the sphere x2 + y2 + 2 = 25. (Use symbolic notation and fractions where needed.) V =
Find the centroid of the region bounded by the xy-plane, the cylinder x² + y2 = 1369, and the + 38 = 1. Assume the density of 8(x, y, z) = 1. (Give your answer in the form (*, *, *). Express numbers in exact form. Use symbolic notation and fractions where needed.) (x, y, z) =
Find the total area of the shaded region. The total area of the shaded region is 1 (Type an exact answer, using * as needed.) Ay y2 y-200x²x R/2 3/2 2x
Find the center of mass of a thin plate of constant density δ covering the given region. The region bounded by the parabola y 2x-2x2 and the line y-2x The center of mass is (Type an ordered pair) Find the center of the mass of a thin plate of constant density δ covering the The center of the mass is located at (x,y): (Type an ordered pair, Round to the nearest hundredth) region bounded by the x-axis and the curve...
Find the total area of the shaded region The total area of the shaded region is (Simplify your answer.) AY 18 @ 14 12 10 y-9 Y 36 Find the area of the triangle with (1, -1, -2), (-2,0, -1), and (0, -2,1) as vertices. The area of the triangle is square units. (Type an exact answer, using radicals as needed.)
Let f(x, y) = 7x²y + 2x + 2. Evaluate f(5,5). (Express numbers in exact form. Use symbolic notation and fractions where needed.) f(5,5) = Evaluate f(x + d, y). (Express numbers in exact form. Use symbolic notation and fractions where needed.) f(x + d, y) = Evaluate f(x, y + d). (Express numbers in exact form. Use symbolic notation and fractions where needed.) f(x, y + d) =
Find the area of the region described. The region in the first quadrant bounded by y = 1 and y=sin x on the interval The area of the region is (Type an exact answer, using a as needed.)
Find the area of the shaded region. Y=7x-x^2 , Y=2x , (5,10)
please use washer method and leave in terms of pi with fractions Find the volume of the solid obtained by rotating the region A in the figure about y = -1. Assume b = 2 and a (Give an exact answer. Use symbolic notation and fractions where needed.)
Find the area of the shaded region. The area of the shaded region is (Type an exact answer, usingx as needed.) 32 3 csc0 cot0 -32 Find the area of the shaded region. The area of the shaded region is (Type an exact answer, usingx as needed.) 32 3 csc0 cot0 -32