Answer:
x = π/6, π/2, 5π/6, 3π/2
Step-by-step explanation:
cos x = sin(2x)
Use double angle formula.
cos x = 2 sin x cos x
Move everything to one side and factor.
cos x − 2 sin x cos x = 0
cos x (1 − 2 sin x) = 0
Set each factor to 0 and solve.
cos x = 0
x = π/2, 3π/2
1 − 2 sin x = 0
sin x = 1/2
x = π/6, 5π/6
The total solution is:
x = π/6, π/2, 5π/6, 3π/2
Answer is 6!
Explanation ; Step by step
Answer:
Step-by-step explanation:
√120 is irrational.
the answer is x + 3x^3 - 7x^4
Answer:
Given the initial population of termites = 60
After 7 days the population of termites = 225
Step-by-step explanation:
We have given the initial termites and the population of termites after 7 days. Now we are required to find the exponential growth model that will help to predict the future population of termites.
We have, Y = Ca^x
When the value of x is zero then population (Y) is 60 termites.
Y = Ca^x
60 = Ca^x
Now, Y = 60a^x
At x = 7 days
Y = 225
225 = 60 a^7
a^7 = 225/60
a = 1.2078
Thus, final population will be, Y = 60(1.2078)^x
