Approximate the area under the graph of f(x)=0.05x⁴1.21x²+93 over the interval [2,6] by dividing the interval into 4 subintervals. Use the left endpoint of each subinterval.

The area under the graph of f(x)=0.05x⁴1.21x²+93 over the interval [2,6] is approximately -------

Evaluate.(Be sure to check bydifferentiating!)

4/9+4xdx, x

D(x) is theprice, in dollars perunit, that consumers are willing to pay for x units of anitem, andS(x) is theprice, in dollars perunit, that producers are willing to accept for x units. Find (a) the equilibriumpoint, (b) the consumer surplus at the equilibriumpoint, and (c) the producer surplus at the equilibrium point.

D(x)=3/4x+13, S(x)=1/2x+3

D(x) is theprice, in dollars perunit, that consumers are willing to pay for x units of anitem, andS(x) is theprice, in dollars perunit, that producers are willing to accept for x units. Find (a) the equilibriumpoint, (b) the consumer surplus at the equilibriumpoint, and (c) the producer surplus at the equilibrium point.

D(x)=3/4x+15, S(x)=1/2x+5