Answer:
y=3
Step-by-step explanation:
Oh, this one lol. ok
you gotta read it like its a book.
4 x s(i picked that variable) which is 4s together
4s+12 (if they said'12 less than' then the 12 gotta be adding.)
then u have to divide it so its going to look like this:
4s+12= blah blah blah
'twice the greater number' means you gotta do this: 2(s+2)
so the problem is this: 4s+12=2(s+2)
now you solved it and the answer will beeeeee s=-4
Answer:D’ (0, -1)
Step-by-step explanation:
Answer:
ln|sec θ + tan θ| + C
Step-by-step explanation:
The integrals of basic trig functions are:
∫ sin θ dθ = -cos θ + C
∫ cos θ dθ = sin θ + C
∫ csc θ dθ = -ln|csc θ + cot θ| + C
∫ sec θ dθ = ln|sec θ + tan θ| + C
∫ tan θ dθ = -ln|cos θ| + C
∫ cot θ dθ = ln|sin θ| + C
The integral of sec θ can be proven by multiplying and dividing by sec θ + tan θ, then using ∫ du/u = ln|u| + C.
∫ sec θ dθ
∫ sec θ (sec θ + tan θ) / (sec θ + tan θ) dθ
∫ (sec² θ + sec θ tan θ) / (sec θ + tan θ) dθ
ln|sec θ + tan θ| + C
The gcf is 11
Hope this helped