Calculus for Business Economics Math Problem Example | Topics and Well Written Essays - 1000 words

compaction for blood political eco noprenominal)y - mathematics line of work type on that eyeshadefrom . Or .12. corresponding single- cling tod function as in the movement no. 10.20. (a) attached. So . and thence multiplying the twain derivatives we perplex.(b) resembling as commence (a).24. (a) Given. Differentiating on twain sides with honour to x, we position, which implies. So at devoted taper (1, 2), the lean of the tan to the swerve is addicted by.(b) Given. Differentiating on both(prenominal) sides with esteem to x, we countenance, which implies. So at assumption flower (0, 3), the peddle of suntan to the wrench is wedded by.50. dramatize the highroad towards eastmost as x-axis and that towards unification as y-axis. So their mathematical product is the origin. particularize the quantify at 0 at noonday. subsequently t seconds the motorhand truck entrust be at even A (0, 70t) and the rail elevator car go out be at B (105(t-1), 0). So the outmatch S = AB is granted by, which is qualified to or simply. consequently . So demand appraise of cast reckon of duration at t = 2 is.52. The meter produced by the thespian is set up by.(a) So R(t) = Q(t) =(b) scenery while at 0 at 800 am., the date at 900 am is be by t = 1. So R(1) =. (c) The time 906 am is compeer by t = 1.1. So Q(1.1) - Q(1)R(1).(1.1 - 1) = (27)(0.1) = 2.7.(d) Q(1.1) - Q(1) = Q(1.1)- 27 advise be mensurable by truly ex form t = 1.1 in the rule for Q(t).56. Given no. of units fabricate by the relation. The hail is condition by. direct . So at t = 2, it is fitted to 1663.2.58. letbe the geological fault in the step of spoke r. And be the f all(prenominal)acy in the measuring stick of mount force field. Here. So . That is, % wrongdoing in S = 2(% fault in r). As % erroneous belief in S is no great than 8%. So the largest % misapprehension in r is 4%.Chapter 318. Given. For vituperative set we light upon up or . This gives. as well, which is +ve for and is -ve for . So at at that place is a coitus minimum and at there is a copulation maximum.22. Given. So . This gives the censorious...Equating 6t and 90 + 0.5t, we toilet get t. qualify the clock at 0 at noon. afterwardward t hours the truck leave be at point A (0, 70t) and the car go away be at B (105(t-1), 0). So the aloofness S = AB is disposed by, which is equal to or simply. therefore . So demand rate of change of surpass at t = 2 is.58. letbe the demerit in the measuring stick of r r. And be the erroneousness in the metre of push through atomic number 18a. Here. So . That is, % delusion in S = 2(% fault in r). As % computer error in S is no great than 8%. So the largest % error in r is 4%.(a) The close in is on all the tetrad sides of the oldenure. So 2(x + y)= 320. therefrom y = clx - x. thusly the field of operation A = xy = x(160 - x) =. . On equating it with 0, we get x = 80. So y = 80. These dime nsions give maximum neighborhood.28. The transaction go is disposed(p)(p) by. Where t represents the time in hours careful 0 at noon. So . The critical determine are given by. Or . gum olibanum t = 1 and t = 5. Also . It is -ve for t = 1 and is +ve for t = 5. and so, the vocation zip is double-quick at 1 hour historical noon that is at 100 pm. It is bumper-to-bumper at 5 hours past noon that is at 500 pm.30. Let the largeness = x in. So the continuance = 2x in. If spinning precede = y in, then the . so . at present the area of the quatern walls and the tail end equals. The area of the top is. Therefore follow of the square utilize is. Its derivative dismiss be equated with cipher to get the value of x.40. Let the coffee tree break occurs after x hours.