Answer:
Step-by-step explanation:
This is <em>a separable differential equation</em>. Rearranging terms in the equation gives
Integration on both sides gives
where 
is a constant of integration.
The steps for solving the integral on the right hand side are presented below.
Therefore,
Multiply both sides by 
By taking exponents, we obtain
Isolate 
.
Since 
when 
, we obtain an initial condition 
.
We can use it to find the numeric value of the constant .
Substituting 
for and 
in the equation gives
Therefore, the solution of the given differential equation is
Answer:
9 x 3 = 27
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Step-by-step explanation:
B=8. A^2+B^2=C^2. This means 6to the second power plus B to the second power equals10 to the second power. 36+b^2=100. B to the second power equals 64. Square root of 64 is 8, so B equals 8
Answer:
Parallel Lines
Step-by-step explanation:
This drawing below represent parallel lines. We know these are parallel because they are marked with "feathers": those triangle looking things. They have to have the same amount of feathers to be parallel.
Hope this helped!
<h3>
Answer: Choice G (lower left corner)</h3>
Why is this? Recall that (x-h)^2+(y-k)^2 = r^2 is the general template of a circle. The center being (h,k) and the radius is r.
For the equation (x-4)^2+(y+2)^2 = 16, we have a center of (4,-2) and radius 4. Note that 4^2 = 16.
The graph of choice G shows these properties so that's why it's the answer. Keep in mind that each tickmark represents 2 units. Choice I is close since the center is correct but the radius is too small.
