Answer:
14
Step-by-step explanation:
if it's 2 teachers for every 45 students, I assume you would divide 315 by 45 which would give you 7 groups of 45. now for every group you would require 2 teachers. and 2 times 7 is 14.
Since xy is common in both terms, you can factor that out leaving you with xy(4^2-1)
Answer:
x=-3 and x=1 are 2 zeros shown on the graph
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
6a - 5 = 7 + 8a
6a - 8a = 7 + 5
-2a = 12
a = 12/-2
a = -6
Hope it helps:)
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
