1)Find dy/dx and y= the square root of u and ux^2+9 state your answer in the terms of x only

Dy/dx=

2) a rectangular garden of area 456 square feet is to be surrounded on three sides by a brick wall costing $12 per foot and on one side by a fence costing $7 per foot find the dimensions of the garden such that the cost of the materials is minimized

To minimize cost the length of the side with a fence should be [x] feet and the length of the other side should be [x]

3) given the cost function c(x)= 7x^3-9x^2+13x+5 find the minimum marginal cost

The minimum marginal cost is $[x]

4)A California distributor of sporting equipment expects to sell 12,600 cases of tennis balls during the coming year at a steady rate. Yearly carrying costs(to be computed on the average number of cases in stock during theyear) are$10 percase, and the cost of placing an order with the manufacturer is $70

(a) Find the inventory cost incurred if the distributor orders 300 casesat a time during the year.

(b) Determine the economic orderquantity, thatis, the order quantity that minimizes the inventory cost.

Let x be the number of cases per order and r the number of orders placed per year. If C represents the inventorycost, then the objective equation is

C=[x]r+[x]x the constraint equation is rx=[x]

(a) The inventory cost is$ [x]

(b) The economic order quantity is [x] cases

5)Differentiate the function below.

Y= 3x^2/(x^2+5)^4

d/dx =

6)Computed/dx f(g(x)), where f(x) = x^5 and g(x)-2

7) compute: d/dt=-2 (4-3t+2t^2) [x]

8) d/dt (dv/dt) where v=4t^-5

***** / means a fraction sorry for any confusion******