3. Your client would like to purchase a base for a sculpture for an art exhi- bition. The shape of the sculpture is the area under the curve 1 f(:c) = 1 + Ecosrex) for 2 g .27 g 0.5, where a: and f (T) are in metres, the thickness is 0.2 metres, and the density is 7000 kg/mg. 2 0.5 Your client has also provided a data sheet below, listing the height of the sculpture at different points along its length. |..~.~ 2.00 1.75| 1.50 1.25 1.00 0.75 0.50 0.25'000 0.25 0.50| \"(33) 1.46 1.43| 1.38 1.31 1.20 1.04 0.84 0.52'050 0.69 1.23| Normally, you would run a computer program that will compute the mass of the object for you and determine the appro- priate base that can hold its mass, but you accidentally bricked the computer last night and it is now on repair. All you have with you is a basic non-scientic calculator and the data sheet that the client has provided you with. You currently only have a base that can hold an object with mass of 11p to 4000 kilograms in the warehouse inventory. Can you guarantee that the base in the warehouse can hold the sculpture, or do you need to order a stronger base from your supplier? To clarify, you cannot use any outside information. You can use a calculator for basic arithmetic operations (+, , >