(1 point) Two chemicals A and B are combined to form a chemical C. The rate of the reaction is proportional to the product of the instantaneous amounts of A and B not converted to chemical C. Initially there are 52 grams of A and 90 grams of B, and for each gram of B, 2 grams of A is used. It has been observed that 35.5 grams of C is formed in 5 minutes. How much is formed in 40 minutes? What is the limiting amount of C after a long time ? grams of C are formed in 40 minutes grams is the limiting amount of C after a long time(1 point) The tank in the form of a right-circular cone of radius 9 feet and height 31 feet standing on its end, vertex down, is leaking through a circular hole of radius 1 inches. Assume the friction coefficient to be c - 0.6 and g - 32 fts2. Then the equation governing the height h of the leaking water is dh dt If the tank is initially full, it will take it seconds to empty.dp (1 point) Let P(t) be the performance level of someone learning a skill as a function of the training time t. The derivative represents the rate at dt which performance improves. If M is the maximum level of performance of which the learner is capable, then a model for learning is given by the differential equation dP dt K(M P(t ) ) where k is a positive constant. Two new workers, John and Peter, were hired for an assembly line. John could process 11 units per minute after one hour and 15 units per minute after two hours. Peter could process 10 units per minute after one hour and 16 units per minute after two hours. Using the above model and assuming that P(0) - 0, estimate the maximum number of units per minute that each worker is capable of processing. John: Peter