She totally missed seeing the number 30, as 15 x 2 is 30 and 6 x 5 is 30. 30 is her LCM
We are given with the radical expression
√(27 x⁴ / 75 y²)
we can simplify this by dealing with the fraction first
√(27 x⁴ / 75 y²) = √( 9 x⁴ / 25 y²)
Then, take the square root of the coefficients and the variables
= 3x² / 5y<span />
Answer:
12i
Step-by-step explanation:
be careful with your screenshots and make sure it doesnt show your name
Answer:
D
Step-by-step explanation:
Answer:
Step-by-step explanation:
Remember that an IVP (initial value problem) of first order consists of solving a first-order differential equation (DE) and the solution 
must satisfy the <em>initial condition</em> 
. This means that the solution y(x) must pass through the point on the plane 
.
In this case, we know that 
is already a solution of the DE xy'+y=2x, the value of 
and we have to find the values 
for which the equality 
holds, that is, 
Multiplying by the above equation we obtain 
, where it follows by susbtracting 
that 
This is a <em>second-degree polynomial equation</em> and its solutions can be found by factoring: 
. Therefore, there are two possible values for : 7 and -1. From here we can see that -1 is the smaller and 7 is the larger.
Now, the larger interval 
for which is a solution of the IVP 
(the smaller value of ) is the maximal interval where y(x) is defined and pass through the point (-1,6). In this case, it must be that 
.
Finally, the larger interval 
for which is a solution of the IVP 
(the larger value of ) is the maximal interval where y(x) is defined and pass through the point (7,6). In this case, it must be that 
.
