Answer:
½ ln 3
Step-by-step explanation:
∫ sec²x / tan x dx
If u = tan x, then du = sec²x dx.
∫ du / u
ln|u| + C
ln|tan x| + C
Evaluate between π/4 and π/3.
ln|tan(π/3)| + C − (ln|tan(π/4)| + C)
ln|√3| + C − ln|1| − C
ln(√3)
½ ln 3
Answer:
43.25
Step-by-step explanation:
Since sides DF and FE are congruent, their opposite angles D and E are also congruent.
m<D + m<E + m<F = 180
x + x + 93.5 = 180
2x = 86.5
x = 43.25
Answer: 43.25
Answer:
8 dog/cat
Step-by-step explanation:
one dog/cat is worth 8.5% 8 puppies divided by 32% = 8.5. 8.5 x 8 =68 100% - 32% is 68% divided by 8.5 equals 8
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The function is:
f ( x ) = 2 / ( x² + 3 x - 10 )
x² + 3 x - 10 = x² + 5 x - 2 x - 10 = x ( x + 5 ) - 2 ( x + 5 ) =
= ( x + 5 ) ( x - 2 )
x + 5 = 0 => x = - 5
x - 2 = 0 => x = 2
Answer:
The vertical asymptotes are: x = - 5 and x = 2.