In January, you deposit $150 into your checking account. Every month after that, you deposit 10% more than you did the month bef
2 answers:
You might be interested in
Answer:
L(f(t)) =
Step-by-step explanation:
let f be a function defined for t ≥ 0
we can write the function f(t) in terms of unit function as follows
f(t) = 2 u,(t) - 1 where
0≤ t < 1
f(t) = (2 * 0) -1 = -1
when t ≥ 1
f(t) = (2*1 )- 1 = 1
Now the Laplace transform L(F(T)) = 2L( u, (t) ) - L(1) --------equation 1
this is because L(u,(t)) =
c = 1 hence L(1) = 1/s
back to equation 1
L(f(t)) = 2 - 1/s laplace transform
also L(u(t) ) =
now, bear in mind, that zeroing out the denominator, also gives critical points, usually asymptotic points, where the derivative is undefined, now, in this case, the denominator is never zero, so we don't get any from the denominator, just from the numerator, and are 0 and 1
now check the picture below
running a first-derivative test on it, those are the values on those regions
you get a negative, regardless of what it might be, what matters is the sign
you get a positive, and then a negative
so, f(x) goes down, then up then down
now, you can see, there's on relative minimum and a relative maximum
