ANSWER:
Let t = logtan[x/2]
⇒dt = 1/ tan[x/2] * sec² x/2 × ½ dx
⇒dt = 1/2 cos² x/2 × cot x/2dx
⇒dt = 1/2 * 1/ cos² x/2 × cosx/2 / sin x/2 dx
⇒dt = 1/2 cosx/2 / sin x/2 dx
⇒dt = 1/sinxdx
⇒dt = cosecxdx
Putting it in the integration we get,
∫cosecx / log tan(x/2)dx
= ∫dt/t
= log∣t∣+c
= log∣logtan x/2∣+c where t = logtan x/2
This would be:-
square root [ (5-0)^2 + (-9 -3)^2) ]
= square root ( 25 + 144)
= sqrt 169
= 13 Answer
Answer:
x = 3.69 feet
11.69 x 13.69 feet
Step-by-step explanation:
new area = (8 x 10) x 2 = 160
(8 + x)(10 + x) = 160
80 + 8x + 10x + x² = 160
combine like terms:
x² + 18x - 80 = 0
factor:
(x - 3.69)(x + 21.69) = 0
x = 3.69
Answer and Step-by-step explanation:
To solve for r, we need to get everything away from r. We can start off by moving five thirds, and pi.
Multiply each side by 
, then divide by 
(pi)
Now, take the cubed root of both sides.
![\sqrt[3]{\frac{3x}{5\pi } } = r](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B3x%7D%7B5%5Cpi%20%7D%20%7D%20%20%3D%20r)
^^ That is the answer.
<em><u>#teamtrees #PAW (Plant And Water)</u></em>
Answer:1197.421
Step-by-step explanation:
