Answer:
1,404,928 is the volume of a cube with a side length that measures 112 ft
Recall that
Dividing both sides by cosh²(x) gives
Also, recall the identity
Then
<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°
Step-by-step explanation:
Trig functions are remembered by
SOD CAD TOA,
sin = opposite / distance, cos = adjacent / distance, and tan = opposite / adjacent.
Here we have the adjacent side = 100, opposite side = 1058. The tower would fall over if it weren't vertical, and we assume the area is flat and level. So tangent of the answer is 10.58.
We need the angle whose tangent is 10.58.
On Android calculator you swipe left to get the trig functions, tap INV, if RAD is showing tap it to change it to DEG, and tap tan⁻¹. Swipe right and you see tan⁻¹(. Enter 10.58 and the result shows 84.6005606. If it shows 1.47655833 tap the RAD in upper left to change to DEG.
1) f/3 + 22 = 17
2) f/3 + 22 - 22 = 17 - 22
= f/3 = -5
3) 3 • f/3 = 3(-5)
= f = 3(-5)
= f = -15
Your answer would be f = -15
:)
