6.3) Letfbe a continuous function on[0,1] and suppose that

• f(x)>0on(0,1), f(0)= 4.9, f(1)=7.9

Find the absolute minimum value off(x)on the interval[0,1]

6.4) Burnell Company can producexunits of water bottles measured in thousands at a pricep(x)in thousands, measured in p(x)=.01(x2.345)^2+1

How many units per thousand should be produced to minimize the cost of production?

Input the x coordinate obtained from the graph. Round to the nearest hundredth.

6.5) Burnell Company also produces soft drinks.The costc(x)in dollars of producingx

is units of soft drinks measured in thousands is given by c(x)=9x2+5280x

.Use calculus to find the minimal cost.

Round your answer to the nearest hundredth.

7.1) Ifxy=1.Finddy/dtwhen x=4.2 and dx/dt=2.1

Round your answer to the nearest hundredth ( if applicable)

7.5) Water is pouring into acylindrical water tank at a rate of10cm^3/sec.The radius of the tank is1meter and has a height of1meter.

Finddh/dtwith unitscm/sec.