1) To calculate maximum of f(t) function we first need to find derivative of it:
f(t)' = 10(e^(-t/8) + t*e^(-t/8)*(-1/8)) = 10(e^(-t/8) -t/8*e^(-t/8)) = 10e^(-t/8)(1-t/8)

the condition is:
f(t)' = 0 that means:
0 = 10e^(-t/8)(1-t/8)
10t/8*e*(-t/8) = 10*e^(-t/8)
t/8 = 1
t = 8

The answer is 8 days.

2) that percent we will get simply by expressing t=8 in our equation.
f(8) = 10*8*e^(-1) = 80/e = 29.43%

4 0

3 years ago

Pyramid A has a height of 10 feet and a volume of 120 cubic feet. The base of Pyramid B has the same dimensions as Pyramid A but

DochEvi [55]

Answer:

volume of a pyramid=base area×height/3

both the bases have same dimensions

pyramid B is twice the height of A

therefore the volume is doubled

6 0

3 years ago