Answer:
See explaination
Step-by-step explanation:
To convert a second-order differential equation into a system of linear differential equation, we have to write y'' as x', for some variable x.
please kindly see attachment for the step by step solution of the given problem.
Answer:
Option D
Step-by-step explanation:
This function has vertex at origin
Let's verify
Put (0,0)
Hence verified
Answer:
F) standard form
Step-by-step explanation:
In a throw of 2 fair dice, there are 6*6=36 equiprobability outcomes.
To get a sum of 5, there are 4 ways, (1,4),(2,3),(3,2),(4,1) with probability of 4/36=1/9
To get at least one 5, there are 6+6-1=11 outcomes (note (5,5) has been counted in both, so subtracted from sum). The probability is 11/36
Since the two events are mutually exclusive (once we have a five, the sum can no longer be 5), we can add the probabilities to get the probability of one event or the other.
P(sum of 5 OR at least one 5)=1/9+11/36=4/36+11/36=15/36=5/9