Show all the work! ……………………………………………………………….
Quiz 4
Show all the work!
1) Β Find all real solutions of 2ππ + ππ = π.
2) Β Given the complex numbers π = βπ + π and π = βπ + ππ, Find and
π π
simplify , , π β π.
π π
3) Β Solve the inequality πππ + ππ β₯ πππ.
4) Β Skippy wishes to plant a vegetable garden along one side of his house. In
his garage, he found 32 linear feet of fencing. Since one side of the
garden will border the house, Skippy doesnβt need fencing along that
side. What are the dimensions of the garden which will maximize the
area of the garden? What is the maximum area of the garden?
5) Β The cost, in cents, to produce x cups of Mountain Thunder Lemonade
at Juniorβs Lemonade Stand is πͺ(π) Β = Β πππ Β + Β πππ, π Β β₯ Β π and the
price-demand function, in cents per cup, is
π(π) Β =
Β ππ Β -Βββ Β ππ, π Β β€ Β π Β β€ Β ππ. Find the maximum profit.
Β
