It looks like the differential equation is

Factorize the right side by grouping.


Now we can separate variables as

Integrate both sides.



You could go on to solve for
explicitly as a function of
, but that involves a special function called the "product logarithm" or "Lambert W" function, which is probably beyond your scope.
Answer:
Cov(X, Y) =0.029.
Step-by-step explanation:
Given that :
The noise in a particular voltage signal has a constant mean of 0.9 V. that is μ = 0.9V ............(1)
Also, the two noise instances sampled τ seconds apart have a bivariate normal distribution with covariance.
0.04e–jτj/10 ............(2)
Having X and Y denoting the noise at times 3 s and 8 s, respectively, the difference of time = 8-3 = 5seconds.
That is, they are 5 seconds apart,
τ = 5 seconds..............(3)
Thus,
Cov(X, Y), for τ = 5seconds = 0.04e-5/10
= 0.04e-0.5 = 0.04/√e
= 0.04/1.6487
= 0.0292
Thus, Cov(X, Y) =0.029.
The vertex is at (-3, 4)
This can be found by looking at the basic form of vertex form:
y = (x - h)^2 + k
In this basic form the vertex is (h, k). By looking at what is plugged into the equation, it is clear that h = -3 and k = 4. This means the vertex is at (-3, 4).
The y-intercept is at 13. To find this we must first square the parenthesis and get the equation into standard form.
y = (x + 3)^2 + 4
y = x^2 + 6x + 9 + 4
y = x^2 + 6x + 13
Now we know that the y-intercept is equal to the constant, which is the last number in the equation.
Answer:
Homie its B
Step-by-step explanation:
yee yee