60=-5(x-6) Please answer this with how you got the answer.
1 answer:
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Answer:
Step-by-step explanation:
The focus lies on the x axis and the directrix is a vertical line through x = 2. The parabola, by nature, wraps around the focus, or "forms" its shape about the focus. That means that this is a "sideways" parabola, a "y^2" type instead of an "x^2" type. The standard form for this type is
where h and k are the coordinates of the vertex and p is the distance from the vertex to either the focus or the directrix (that distance is the same; we only need to find one). That means that the vertex has to be equidistant from the focus and the directrix. If the focus is at x = -2 y = 0 and the directrix is at x = 2, midway between them is the origin (0, 0). So h = 0 and k = 0. p is the number of units from the vertex to the focus (or directrix). That means that p=2. We fill in our equation now with the info we have:
Simplify that a bit:
Solving for y^2:
Answer:
Step-by-step explanation:
As given in question, we have to find the solution of differential equation
by using the variation in parameter method.
From the above equation, the characteristics equation can be given by
Since, the roots of characteristics equation are real and distinct, so the complementary function of the differential equation can be by
Let's assume that
and g(t)=1
Now, the Wronskian can be given by
Now, the particular solution can be given by
Now, the complete solution of the given differential equation can be given by