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Problems where a is a constant that depends on the delivery rate. Plot the concen- tration after I hr, C (1), versus k for the case where a 1 and k is in the range 0.047 s k 30.107 per hour. A cable of length L supports a beam of length Lb, so that it is horizontal when the weight W is attached at the beam end. The principles of statics can be used to show that the tension force T in the cable is given by 33. where D is the distance of the cable attachment point to the beam pivot. See Figure P33. Lb Figure P33 a. For the case where W-400 N, Lb 3 m, and Lc 5 m, use element-by-element operations and the min function to compute the value of D that minimizes the tension T. Compute the minimunm tension value. b. Check the sensitivity of the solution by plotting T versus D. How much can D vary from its optimal value before the tension T'increases 10 per- cent above its minimum value? 4. Given the vectors