Problem 1. (1 point) Problem 4. (1 point) An isosceles triangle with uniform density (mass per unit area), Sketch the region bounded by the curves y = x, xty = 2, and height h, and base b is placed in the xy-plane as shown below. y =0. Find the coordinates of the centroid. Answer: * =_ and y = Answer(5) submitted: (incorrect) Find the x and y coordinates of the center of mass. "Do not enter units.) V= (Do not enter units.) Answer(s) submitred: (incorrect) Problem 2. (1 point) A rod with density o(x) = 4 + sin(x) (in mass per unit length) lies on the x-axis between x = 0 and x = 1/6. Find the center of mass of the rod. * = (Do not enter units.) Answer(s) submitred: (incorrect) Problem 3. (1 point) Problem 5. (1 point) A metal plate, with constant density 2 g/cm , has a shape bounded The masses m; are located at the points A. Answer the following by the curve y = x' and the x-axis, with 0 & x