Answer:
1. y = sin(x²+C)
2. see below
Step-by-step explanation:
1.
separation of variables
integration both sides
you should get :
remember constant of integration!!
2. y = sin(x²+C)
3 = sin(0+C)
y(0) = 3 does not have a solution because our sin graph is not shifted vertically or multiplied by a factor whose absolute value is greater than 1, so our range is [-1,1] and 3 is not part of this range
Answer:
The value of x is 8 gallon.
Step-by-step explanation:
Given a table showing approximate conversion from gallons to liters.
Number of Gallons 2 4 x
Number of Liters 7.6 15.2 30.4
We are required to find value of x,
Given : 2 gallon is equal to 7.6 liters.
⇒ 1 liter is equal to liters. ........(1)
given, x gallon equal to 30.4 liters.
⇒ 1 liter is equal to liters. .........(2)
from (1) and (2),
⇒
Solving for x, we get,
⇒
⇒
Approximately x = 8
Thus, the value of x is 8 gallon.