Answer:
y=2e^(−x)cosx−e^(−x)sinx
Satisfies the equation
Step-by-step explanation:
Answer:
y=2e^(−x)cosx−e^(−x)sinx
y = e^(-x)[2cosx - sinx]
y': product law
y' = -e^(-x)[2cosx - sinx] + e^(-x)[-2sinx - cosx]
y' = -e^(-x)[2cosx - sinx + 2sinx + cosx]
y' = -e^(-x)[3cosx + sinx]
y" = e^(-x)[3cosx + sinx] - e^(-x)[-3sinx + cosx]
y" = e^(-x)[3cosx - cosx + sinx + 3sinx]
y" = e^(-x)[2cosx + 4sinx]
y" + 2y' + 2y
e^(-x)[2cosx + 4sinx] - 2e^(-x)[3cosx + sinx] +2e^(-x)[2cosx - sinx]
e^(-x)[4sinx - 2sinx - 2sinx + 2cosx - 6 cosx + 4cosx]
= e^(-x) × 0
= 0
Answer:
252
Step-by-step explanation:
Answer:
0 < x ≤ 200 and 0 < y ≤ 400
Step-by-step explanation:
hope this helps
Answer:
Regular Deal
Step-by-step explanation:
<em>Pay as you go</em>
Pay only $6 each time you work out
<em>Regular Deal</em>
Pay $50 a month and $2 each time you work out
<em>All-in-one price! </em>
Pay just $100 per month for unlimited use of our great facilities
1. Carlo thinks he will go to the gym about 20 times a month. Which of these options is the least expensive for Carlo? Show how you determined your answer.
For 20 visits to the gym:
<em></em>
<em>Pay as you go:</em>
20 × $6 = $120
<em>Regular Deal</em>
$50 + 20 × $2 = $50 + $40 = $90
<em>All-in-one price! </em>
$100
<u><em>Answer:</em></u>
The best deal is for 20 visits per month is: <em>Regular Deal</em>