The green mathematics tells about the impulse response of an in homogeneous linear differential operator.
According to the statement
we have to explain the green mathematics.
In mathematics, Actually there is a Green Function which was founded by a mathematician George Green.
In this function, a Green's function is the impulse response of an in homogeneous linear differential operator defined on a domain with specified initial conditions or boundary conditions.
The example of green function is the Green's function G is the solution of the equation LG = δ, where δ is Dirac's delta function; the solution of the initial-value problem Ly = f is the convolution (G ⁎ f), where G is the Green's function.
Actually in this function, it gives the relationship between the line integral of two dimensional vector over a closed path by a integral.
In this there is a green theorem, which relates a line integral around a simply closed plane curve C and a double integral over the region enclosed by C.
So, The green mathematics tells about the impulse response of an in homogeneous linear differential operator.
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Answer:
x = 7
y = 0
Step-by-step explanation:
Close, but not quite.
<span>N(t) = 16t ; Distance north of spot at time t for the liner.
W(t) = 14(t-1); Distance west of spot at time t for the tanker.
d(t) = sqrt(N(t)^2 + W(t)^2) ; Distance between both ships at time t.
Let's create a function to express the distance north of the spot that the luxury liner is at time t. We will use the value t as representing "the number of hours since 2 p.m." Since the liner was there at exactly 2 p.m. and is traveling 16 kph, the function is
N(t) = 16t
Now let's create the same function for how far west the tanker is from the spot. Since the tanker was there at 3 p.m. (t = 1 by the definition above), the function is slightly more complicated, and is
W(t) = 14(t-1)
The distance between the 2 ships is easy. Just use the pythagorean theorem. So
d(t) = sqrt(N(t)^2 + W(t)^2)
If you want the function for d() to be expanded, just substitute the other functions, so
d(t) = sqrt((16t)^2 + (14(t-1))^2)
d(t) = sqrt(256t^2 + (14t-14)^2)
d(t) = sqrt(256t^2 + (196t^2 - 392t + 196) )
d(t) = sqrt(452t^2 - 392t + 196)</span>
Answer:
-(5x-21)/6 so d
Step-by-step explanation:
to do inverse functions you want to replace the x in the function with y so x=(21-6y)/5, then solve for y and you will get the answer I got and its d
Answer:
A. -13
Step-by-step explanation:
y - (-5) is the same as y + 5
x - 8 = y + 5; you then subtract 5 from both sides
x - 13 = y
