IIII 46. Use th OIC YoY unle plate. 37) . g(x) = x and fx= x + 6 38) . g(x= x (x
ID: 2895302 • Letter: I
Question
IIII 46. Use th OIC YoY unle plate. 37) . g(x) = x and fx= x + 6 38) . g(x= x (x + 1), f(x) = 2, and x = 0 39. gx) = xx - 1) and fx) = x 40. g(x) = 0, fx) = 2 + sinx, x = 0, and = 2m X volum 47. Use P face a Semic (Hint: I x sinx dx = Sin x - x cos x + C.) 48. As fo Theory and Examples Verify the statements and formulas in Exercises 41 and 42. surfac 49. The 41. The coordinates of the centroid of a differentiable plane curve are x ds Syds length length ume G is (4/- indepe ds 50. As for the x (0, 4a, this reg - - - - - - - - - - - - - 51. The re ; genera 52. As fo the sun 42. Whatever the value of p > 0 in the equation y = x/4p), the y-coordinate of the centroid of the parabolic segment shown here is Y = (3/5)a. In Exercise of the given and height 53. (0, b). (0, 0)Explanation / Answer
Integral of x.ds gives you the sum of all x coordinates and when you divide it by its length , you get the mean or we can say that the centroid in x direction.
Similarly we can conclude for y centroid