I need help with understand the problem and get to the solution for these problems in business for calculas.

Below, we see a region bounded by two curves. (graph not necessarily to scale) = jdgdEsiEy i = = T = The region shaded in light blue is bounded by two curves, y = Xz + 1}2 + 13 (in dark red) and y = 3z 1}2 + 1 {in dark blue). Part 1. Suppose that we wish to integrate with respect to & to find the value of the shaded area. Fill in the blanks so that the resulting integral (A shaded region. 11 : 3x Odx -1 Note: Set up the integral so that the lower limit of integration is less than the upper limit of integration. Part 2. Finally, after evaluating the integrals above, we find that the area of the shaded region equals | 283 Below, we see a region bounded by two curves. (graph not necessarily to scale) 20-257 4 15.25 10.25 -5 -0.75 -5.79 -10. 79 The region shaded in light blue is bounded by two curves, y = + + 3x (in dark red) and y = $ 3(in dark blue). Part 1. Suppose that we wish to integrate with respect to a to find the value of the shaded area. Fill in the blanks so that the resulting the shaded region. Note: Set up the integral so that the lower limit of integration is less than the upper limit of integration. Part 2. Finally, after evaluating the integrals above, we find that the area of the shaded region equals\fJUU y 290 280 270 260 250 240 230 220 210 200 190 180 170 160 150 140 130 120 110 100 90 80 70 60 50 10 30 20a (lower limit of integration) = ' | b (upper limit of integration) :'. | o@=[ | Area of region A :| ' b Write an integral in the form 4 = / g(z) d such that A expresses the area of the region between the functions y = z2 5and Yy = 4. Evaluate the integral to find the area of the a region. Answers should be exact. As a suggestion, graph the equations so you can see the region for which you are solving for the area b Write an integral in the form A = f g(x) dz such that A expresses the area of the region between the functions y = z? and y = 6z + 7. Evaluate the area of the region using a integration. Answers should be exact. As a suggestion, graph the equations so you can see the region for which you are solving for the area. a (lower limit of integration) = | ' b (upper limit of integration) = | | g(z)=[ | Area of.;g.ion A= |_| b Write an integral in the form A = f g(z) dz such that A expresses the area of the region between the functions = 7, = a 1 region. Answers should be exact. As a suggestion, graph the equations so you can see the region for which you are solving for the area. = and & = 10 Evaluate the integral to find the area of the a (lower limit of integration) = | | b(upperIimilufmtegration):| | o()=| | o Area of region A = |_' b Write an integral in the form A = f g(x) dz such that A expresses the area of the region between the functions = z? and Y= x? + 30z. Evaluate the integral to find the area of the o region. Answers must be exact. As a suggestion, graph the equations so you can see the region for which you are solving for the area a (lower limit of integration) = ' | b(upperIimitofmtegration):' | 9(z)=| | Area of region A :| | b Write an integral in the form A = f h(zx) dz such that A expresses the area of the region between the functions i = e2*, 4 = 1 and x = 0. Evaluate the integral to find the area of a the region. Answers should be exact. As a suggestion, graph the equations so you can see the region for which you are solving for the area. a (lower limit of integration) = | | b (upper limit of integration) = | | Area of region A :| | Find the area of the region bounded by the graphs of y = ed, y = e , x = -5, and x = 3 using integration. Answers should be exact. As a suggestion, graph the equations you can see the region for which you are solving for the area. Area of region A =Solve a Consumers' or Producers' Surplus Problem. The price-demand equation for some commodity is given by p = D(x) = 180 -1.3x and the equilibrium point is (13, 163.1) Find the consumers' surplus. The surplus is (Your answer must begin with 5.)Solve a Consumers' or Producers' Surplus Problem. The price-supply equation for some commodity is given by p = S(x) = 10 + 2.8x and the equilibrium point is (20, 66) Find the producers' surplus. The surplus is (Your answer must begin with 5.)Solve a Consumers' or Preducers' Surplus Problem. The supplier of a popular board game called Who Dunnit? has a price-supply equation given by p=S(z) =10+29z dollars, which gives the price per game when @ games are supplied. If market equilibrium is reached when 12 games are sold at a price of $44.8 each, find the producers' surplus. The surplus is| | (Your answer must begin with .) Solve a Consumers' or Producers' Surplus Problem. A popular three-story dollhouse has a price-demand equation given by p=D(z) =370-1.7Tz dollars, which gives the price per dollhouse when & dollhouses are demanded. The price-supply equation for the dollhouse is given by p=5(z) =273+ 0.6z dollars, which gives the price per dollhouse when x dollhouses are supplied. Find (a) the consumers' surplus and (b) the producers' surplus. The consumers' surplus i5| | (Your answer must begin with 3.) The producers' surplus is | | (Your answer must begin with $.) Solve a Consumers' or Producers' Surplus Problem. A cordless leaf blower has a price-demand equation given by p= D(z) = 4981.8 2.25z dollars, which gives the price per leaf blower when z leaf blowers are demanded. The price-supply equation for the leaf blower is given by p=5(z) =1.22 dollars, which gives the price per leaf blower when x leaf blowers are supplied. Find the consumers' surplus and the producers' surplus. The consumers' surplus is' ' ('Your answer must begin with .) The producers' surplus is' ' (Your answer must begin with .) Solve a Consumers' or Producers' Surplus Problem. A sports watch has a price-demand equation given by p=D(z) = 85- o0.308746z dollars, which gives the price per watch when & watches are demanded. The price-supply equation for the watch is given by p=_S(z) =05z +5 dollars, which gives the price per watch when & watches are supplied. If the equilibrium quantity is 10, find the consumers' surplus and the producers' surplus. The consumers' surplus is| | (Your answer must begin with .) The producers' surplus is| | (Your answer must begin with $.)