Answer:
6x-12
Step-by-step explanation:
I think this is the answer I am so sorry if Im wrong but 3*2x = 6x and then -4*3 = -12
Answer:
Y= 2e^(5t)
Step-by-step explanation:
Taking Laplace of the given differential equation:
s^2+3s-10=0
s^2+5s-2s-10=0
s(s+5)-2(s+5) =0
(s-2) (s+5) =0
s=2, s=-5
Hence, the general solution will be:
Y=Ae^(-2t)+ Be^(5t)………………………………(D)
Put t = 0 in equation (D)
Y (0) =A+B
2 =A+B……………………………………… (i)
Now take derivative of (D) with respect to "t", we get:
Y=-2Ae^(-2t)+5Be^(5t) ....................... (E)
Put t = 0 in equation (E) we get:
Y’ (0) = -2A+5B
10 = -2A+5B ……………………………………(ii)
2(i) + (ii) =>
2A+2B=4 .....................(iii)
-2A+5B=10 .................(iv)
Solving (iii) and (iv)
7B=14
B=2
Now put B=2 in (i)
A=2-2
A=0
By putting the values of A and B in equation (D)
Y= 2e^(5t)
Use the formula speed=distance/time, or s=d/t.
Substitute 2,482 for d and 42.5 for t.
s=2,482/42.5
Simply divide for the answer:
Mr. Douglas' average speed for the trip was 58.4 miles per hour.
I hope this helps! ^_^
Hold on i believe its C but let me go look on google and i'll get back to you to sure
