please write neatly and show all work asap. Thank you so much

11. you want to design a pen to hold your Vietnamese pis . The penis to be split into 3 areas of equal size , with the seperating fences all running parallel . If you have 100 meters of fencing , Answer the following questions write the equation you need to use to maximize the area - write out the constraints for the problem what are the outside dimensions of the pen ? by ? 12 Let In denote the left-endpoint SUM using I subintervals and let Rn denote the corresponding right endpoint sum . Given the following function and interval : f ( x ) = 1 from * = - 2 to * = z x 2+1 a - calculate Ry to approximate the area under the curve b - find the exact area under the curve by evaluating an appropriate definite integral 13. v ( + ) = 4+3 + 3 sin't" And the position function find the acceleration of object when + = 0