Step-by-step explanation:
∫ dt / (cos²(t) ⁹√(1 + tan(t)))
If u = 1 + tan(t), then du = sec²(t) dt.
∫ du / ⁹√u
∫ u^(-1/9) du
9/8 u^(8/9) + C
9/8 (1 + tan(t))^(8/9) + C
Answer:
896pi or 2814.9cm^2
Step-by-step explanation:
S=h*r*2pi=(40-2*4)*28/2*2pi=32*14*2pi=896pi=2814.9cm^2
∛(1/8 - <em>x</em>) = -1/2
Take the 3rd power of both sides and solve:
(∛(1/8 - <em>x</em>))³ = (-1/2)³
1/8 - <em>x</em> = -1/8
2/8 = <em>x</em>
<em>x</em> = 1/4
Answer and Step-by-step explanation:
Everything is in the picture.
Lines are forever, so they have an arrow at each end.
Line segments have a dot at each end, so they don't go on forever.
A ray has a dot on one end and an arrow on the other, so one side goes on forever.
An angle can be acute, right, or obtuse.
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