Answer:

Step-by-step explanation:
The parent function is given as:

We want to find a new function that results after shifting f(x), 2 units to the right.
Let that function be g(x), then

We replace x by x-2 in f(x) to get:

When we simplify, we obtain:

Answer:
h = -14
Step-by-step explanation:
-7πh = 98π
⇔ -7h = 98 (Just Divide both sides by π)
⇔ h = 98 ÷ (-7) = -14
Answer:
Step-by-step explanation:
Let's use the definition of the Laplace transform and the identity given:
with
.
Now,
. Using integration by parts with u=e^(-st) and dv=cos(5t), we obtain that
.
Using integration by parts again with u=e^(-st) and dv=sin(5t), we obtain that
.
Solving for F(s) on the last equation,
, then the Laplace transform we were searching is
Answer: B and they can play 6 levels
Step-by-step explanation: first solve the mixed fractions
Then solve the factions