It looks like the ODE is

with the initial condition of
.
Rewrite the right side in terms of the unit step function,

In this case, we have

The Laplace transform of the step function is easy to compute:

So, taking the Laplace transform of both sides of the ODE, we get

Solve for
:

We can split the first term into partial fractions:

If
, then
.
If
, then
.


Take the inverse transform of both sides, recalling that

where
is the Laplace transform of the function
. We have


We then end up with

∠2 =∠1 which is 180° -65° =115<span>°
So </span>∠2=115<span>° </span>
Answer:
(k - 4) ÷ 9
(k - 4) / 9
Step-by-step explanation:
k decreased by 4 = k - 4
quotient of k decreased by 4 and 9
= (k - 4) ÷ 9 (using division sign)
Or
= (k - 4) / 9 (as a fraction)
Answer:
You should divide (÷)
Step-by-step explanation:
4.80÷ 80/100
then u add them together and get ur answer
Answer:
In the picture attached, the question is shown.
a) Applying Pythagorean theorem to triangle ABC, and solving for AC:
CB² + BA² = AC²
5² + 12² = AC²
√169 = AC
13 cm = AC
b) Applying Pythagorean theorem to triangle ACD, and solving for AD:
CD² + AC² = AD²
5² + 13² = AD²
√194 = AD
13.9 cm = AD
Step-by-step explanation: