Assignment dY 1- Find the rst derivative ' = in eachof the followi functions 1) y = W 2) y =x2 3) y=f1 4) y=ZX(x2-1) S)y=if: 6)y=3\\/x5-1 _L _ I _L 7)y_\"3 8)yx/+\\/x_z 3le+5 y=(x'+\\/)(x5) 2)y=\\/x_e"2 13)y=(X"+\\/)(e") 14)y=(x2+f)(\\/_'JF) 15) y = (g 1) (x +1)(J2?+ 5) 2- A manufacturer estimates that when q units of a particular commodity are produced, the totalcost will be C(q) = 18 q2 + 3q + 98 dollars, and furthermore, that all q units will be solved when the price is pm) = q + 22 dollars per unit. :1. Find the marginal cost? b. What is the marginal revenue? c. Use marginal cost to estimate the cost of producing the 9\"1 unit? d. What is the actual cost of producing the 9'h unit? 3- A manufacturer sells a product at $ 15 per unit, selling all that is produced. CANADIAN IC Fixed cost is $3000 and variable cost per unit is 9 (dollars). Find the totaloutput at the break-even point. . Find revenue at the break-even point. Find the output required to obtain a prot of 1250. Find the prot when 100 units are produced 4- Solving a System of Two Linear Equations in Two Variables: .y=x+5, y=2x+6 x5y=11, 5y+x=3 5- Graph the following equations f(x)=x2+2x8, x2y= 3y + 7x = 12, Mt) = 3t 1:2 6- Market research indicates that consumer will buy q thousand unit of a particular kind ofcoffee maker, when the unit price is P = 10000 1000!] dollars. The cost of producing the thousand unit is C(q) = 500:12 + 1000. a. What is the revenue function? b. What is the Prot function