As usual, draw a diagram. You can easily see that if you are x away from the wall,
<span>the angle of elevation of the bottom of the screen (A) is </span>
<span>cotA = x/3 </span>
<span>A = arccot(x/3) </span>
<span>angle B to the top is </span>
<span>cotB = x/10 </span>
<span>B = arccot(x/10) </span>
<span>So, since θ = B-A </span>
<span>dθ/dt = dB/dt - dA/dt </span>
<span>= -3/(x^2+9) + 10/(x^2+100) </span>
<span>= 7(x^2-30)/((x^2+9)(x^2+100)) </span>
<span>so, at x=30 </span>
<span>dθ/dt = 203/30300</span>
Ooh, this is a tough one. I'll try my best to answer.
Ok, for the town that decreased in population it would of gone to <span>21551.38 citizens. For the one that increased in population by 8% it would be </span><span>24761.16.
Hope that helps!</span>
R(t)=10t+20. This shows the first 20 pesos, and the additional 10 pesos for every hour. Hope this helps.
2x + 2y = 48
2(x + y) = 48
x + y = 24
mean = 24/2 = 12
less than 20
Answer:
1)2/7
2) 500
3) 1,000
hope you like this answer
stay at home stay safe
keep rocking
