Rate of change x=3 x=5

The average rate of change for g(x) is      { g(x+h)-g(x) }/h

In our case,

                             { log(5+1) - log(3+1) }/(5-3) =    (.778-.602)/2 = .088

Compare it to the derivative of log(x+1) for the values: the derivative is D = (1/ln10)(1/(x+1))

at x = 3      D = .1086

at x = 4      D =  .0869

at x = 5      D = .0724

Take the average of D over the interval and you get .0893  and very close to the midpoint of the x values

Step-by-step explanation:

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

answer: it's d

step-by-step explanation: