Suppose that r(t) = r0 * e^(-kt) with k > 0, is the rate at which a nation extracts oil where r0=10^7 barrels/year is the current rate of extraction. Suppose also that the estimate of the total oil reserve is 2*10^9 barrels. a. Find Q(t), the total amount of oil extracted by the nation after t years. b. Evaluate lim(t->infinity)Q(t) and explain the meaning of this limit. c. Find the minimum decay constant k for which the total oil reserves will last forever. d. Suppose r0=2*10^7 barrels/yr and the decay constant k is the minimum value found in part c. How long will the total oil reserves last?

24/56=hx^7

step-by-step explanation:

answer

false

explanation

these practices describe the manner the land use outcome is attained. land management methods implemented by corporations are a mandatory because they are a driver for better land use results economically, socially and environmentally. corporations are required to understand the connection between land use , and land management practices to support sustainable land use policies

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752