Answer:
0.052 acre/min
Step-by-step explanation:
6 1/4 acres / 2 hours times the conversion factor (1 hr / 60 min) comes out to:
6.25
----------------- = 0.052 acre/min
2 (60 min)
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<span>a) Differentiate both sides of lnq − 3lnp + 0.003p=7 with respect to p, keeping in mind that q is a function of p and so using the Chain Rule to differentiate any functions of q:
(1/q)(dq/dp) − 3/p + 0.003 = 0
dq/dp = (3/p − 0.003)q.
So E(p) = dq/dp (p/q) = (3/p − 0.003)(q)(p/q) = (3/p − 0.003)p = 3 − 0.003p.
b) The revenue is pq.
Note that (d/dp) of pq = q + p dq/dp = q[1 + dq/dp (p/q)] = q(1 + E(p)), which is zero when E(p) = −1. Therefore, to maximize revenue, set E(p) = −1:
3 − 0.003p = −1
0.003p = 4
p = 4/0.003 = 4000/3 = 1333.33</span>
Answer:
-85.9 feet below sea level.
Step-by-step explanation:
Answer:
f(-2) = -5
f(0) = 5
f(1) = 10
Step-by-step explanation:
f(-2) = 5(-2) + 5 → -10 + 5 = -5
f(0) = 5(0) + 5 → 0 + 5 = 5
f(1) = 5(1) + 5 → 5 + 5 = 10
Answer:Decreasing the distance between the objects
Step-by-step explanation: