Question
1) The area of a circular sun spot is growing at a rate of 800km2/s.
(a) How fast is the radius
growing at the instant when it equals 6,000 km? (Round your answer to three decimal places.)
km/s
2) The weekly sales of Honolulu Red Oranges is given by q = 896 − 20p.
Find this maximum revenue.
A r2
dA
dr 2 r
dt
dt
800 2 6000 dr
dt 800
dr 12000 dt
dr
0.021 dt R pq p 896 20 p 896 p 20 p 2
vertex,
896
p 22.4
2 20 R 22.4 10, 035.2
Math