The law of mass action results in the differential

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The Law of Mass Action results in the differential equationqBqAkdtdqwherexis theamount of substance at timetresulting from the reaction of two other substance andA,Bareconstants.The production of the pancreatic enzyme trypsin from trypsinogen in digestionconforms with theLaw of Mass Action. The production is modeled byqBqAkdtdqwhereAis the initialamount of trypsinogen andBis the initial amount of trypsin.Solving forqyieldsdtqBqAkdq.
MATH 37Lecture Guide UNIT 2 albabierra13Exercise Items.Try to solve the following.Evaluate the following by decomposing the integrands to sums of partial fractions.1.dxxx93526.dxxxxxxxx351745323234Long division!!!2.dxxxx431127.dxxxxx2226223.dxxxxxx2422328.dxxxxxx132182234.dxxxxx32149.dxxxxxx132727225.dxxxxx4823210.dxxxxxx32392223For the following, perform long division before decomposing the integrand to partial fractions.11.dxxxx232312.dxxxxx488324The following are cases of repeated factors in the denominators.13.dxxxx221215.dxxxxx222232215614.321xdx16.dxxxxx234443(Physics)Suppose the velocity of a point moving along a coordinate line133ttft/sec, wheretis thetime in seconds. How far does the point travel during the time travel from1tto2t?2.dxxxx22212Part A.Part B.
MATH 37Lecture Guide UNIT 2 albabierra14(Population studies)In many population growth models, there is an upper limit beyond which thepopulation cannot grow. Let us suppose that the earth will not support a population of more than 16billion and that there were 2 billion people in 1925 and 4 billion in 1975. Then ifyis the populationtyears after 1925, an appropriate model is the differential equationykydtdy16. (i.) Solve fory(as a function oft). (ii.) Find the population in 2015. (iii.) When will the population be 9 billion?__________________________2.5 Other Substitution Techniques(TC7 pp. 614-619 / TCWAG pp. 566-569)For rational functions of sine and cosine,use the substitute:21tanzcos,sin,dExercise Items.Evaluate the following using a proper substitute.1.dcoscos535.23cosd2.35sind6.tansind3.cossind347.dcossin224.cossind18.dsintan21Must try!!!cossindTO DO!!!Evaluate the following by using proper substitutes.1.2cossind2.tansind
MATH 37Lecture Guide UNIT 2 albabierra15For varying rational exponents or radicals,use the substitute:nzxwherenis theproperexponent to remove all rational exponents inthe resulting integralExercise Items.Evaluate the following using a proper substitutes.

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