1.a farmer has 4000 metres of fencing, he wants to enclose a rectangular field that borders on a river. if the farmer doesn't fence the side along the
river, what is the largest area he can inclose? the area of the garden is give by:
a(x)=4000x-2x^2 (^2=squared)
2. a texas based company called hamilton's wares sells baseball bats at a fixed price, c. a field researcher has calculated that the profit the company makes selling the bats a price c can be represented by the following equation:
p(c)=1/5c^3-51/2c^2+110c
what price should they sell their bats at to make the most money.
show full working out for both questions, ^3 means to the power of 3.

Find the area of the region that is inside r=3cos(theta) and outside r=2-cos(theta). sketch the curves.

Put the following steps for calculating net worth in the correct order

Exercise: counting committees 0.0/2.0 puntos (calificable) we start with a pool of n people. a chaired committee consists of k≥1 members, out of whom one member is designated as the chairperson. the expression k(nk) can be interpreted as the number of possible chaired committees with k members. this is because we have (nk) choices for the k members, and once the members are chosen, there are then k choices for the chairperson. thus, c=∑k=1nk(nk) is the total number of possible chaired committees of any size. find the value of c (as a function of n ) by thinking about a different way of forming a chaired committee: first choose the chairperson, then choose the other members of the committee. the answer is of the form c=(α+nβ)2γn+δ. what are the values of α , β , γ , and δ ?