Homework Soursecalculate the coordinates of the center of mass of the unifo
calculate the coordinates of the center of mass of the uniform density region bounded by the curves y=e^x and the line y=1 for x=[0,2]
Solution
1+1/2*integral from 0 to 2 of e^x-1 1+1/2*(e^x-x from 0 to 2) 1+1/2*(e^2-2-1) 1+1/2*(e^2-3)=3.19 is y-coordinate 2-1/(e^2-1)*integral from 1 to e^2 of 2-ln(y) x=1.31![calculate the coordinates of the center of mass of the uniform density region bounded by the curves y=e^x and the line y=1 for x=[0,2]Solution 1+1/2*integral fr](/WebImages/30/calculate-the-coordinates-of-the-center-of-mass-of-the-unifo-1082929-1761568991-0.webp "calculate the coordinates of the center of mass of the uniform density region bounded by the curves y=e^x and the line y=1 for x=[0,2]Solution 1+1/2*integral fr")
