1, Find the derivative and simplify. y= (9x+4)(x²2x).

2,Write the equation of the tangent line to the graph ofy= (8x²6x+1)(1 + 2x)

atx= 1.Check the reasonableness of your answer by graphing both the function and the tangent line.

3,Write the equation of the tangent line to the graph ofy= (7x²6x+2)(1 + 2x)

atx= 1. Check the reasonableness of your answer by graphing both the function and the tangent line.

4If the costC(in dollars) of removingppercent of the particulate pollution from the exhaust gases at an industrial site is given by the equation shown below.

C(p) =7000p100p Find the rate of change ofCwith respect top.C'(p) =

5,Suppose the revenue (in dollars) from the sale ofxunits of a product is given by

R(x) =60x²+68x /2x+ 2 Find the marginal revenue when23units are sold. (Round your answer to the nearest dollar.)$Interpret your result. when 23units are sold, the projected revenue from the sale of unit24would be

6 A travel agency will plan a group tour for groups of size30or larger. If the group contains exactly30people, the cost is $390per person. If each person's cost is reduced by $10 for each additional person above the30, then the revenue is given by the equation shown below, wherexis the number of additional people above30.

R(x) = (30+x)(39010x) Find the marginal revenue if the group contains35people

7,