I think it is A because 7.65/0.5 equals 1.53 and 7.65/2.42 equals 3.16
Given formula is
which gives approximate distance a light beam from a light house where "a" represents the area (in sqaure miles) that the light beam covers
Using this formula we have to estimate the distance the light beam covers the area 1000 square miles.
so that means a=1000
Now plug this value into above formula
r = 17.86686878
Hence final answer is approx 17.87 miles
Answer:
Step-by-step explanation:
The general solution will be the sum of the complementary solution and the particular solution:
In order to find the complementary solution you need to solve:
Using the characteristic equation, we may have three cases:
Real roots:
Repeated roots:
Complex roots:
Hence:
Solving for :
Since we got complex roots, the complementary solution will be given by:
Now using undetermined coefficients, the particular solution is of the form:
Note: was multiplied by x to account for and in the complementary solution.
Find the second derivative of in order to find the constants and :
Substitute the particular solution into the differential equation:
Simplifying:
Equate the coefficients of and on both sides of the equation:
So:
Substitute the value of the constants into the particular equation:
Therefore, the general solution is:
I think that the answer is A) A and B if I am wrong I'm sorry