(a) The differential equation is separable, so we separate the variables and integrate:
When x = 0, we have y = 2, so we solve for the constant C :
Then the particular solution to the DE is
We can go on to solve explicitly for y in terms of x :
(b) The curves y = x² and y = 2x - x² intersect for
and the bounded region is the set
The area of this region is
a variable is anything that takes place of a number , such as ‘x’ or ‘y’ , it’s mostly used in science and math , it’s to replace a number
Answer:
17.31%
Step-by-step explanation:
1/2 * 1/2 *9/13
50% chance to get heads, 50% chance to get an odd number, 9/13 odds to get a number less than 10 (1, 2, 3, 4, 5, 6, 7, 8, 9).
Answer:
14x+3=8x+3
14x+3 -3 = 8x+3 -3
Cancels out the 3
14x = 8x
14x - 8x = 8x -8x
Cancels out the 8x
14x = 0
x = 0
Step-by-step explanation:
Relationships between variables can be direct or inverse. For direct variation, the value of one parameter is a multiple of the other parameter using a proportionality constant, k. To illustrate the relationship between pressure and depth, the equation would be: P=kd