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)
By talking to his baby sister differently from the way he speaks to his teacher, this shows that he is developing an understanding of pragmatics.
<h3>What is pragmatics?</h3>
This can be used to explain the part of linguistics that has to do with the use of language in its given context.
The use of pragmatics comes up in conversations, and implications of what is being said.
Read more on pragmatics here:
brainly.com/question/8057719
#SPJ1
Answer:
1.
31, 37, 43, 49, 55
2.
for nth number the value is 31+6(n-1)
3.
24th number, 169-31=138 and 138/6=23
Answer:
Step-by-step explanation:
put it on a coorinate grid,
circle circumference = 2*pi*r = 100.53
so the arc 19.2/100.53 = about 0.15 times the circumference of the circle
0.15*2pi = angle AOB in radians = 0.97
length DE is like 7.44
angle DOE is approx 0.485 radians beacuse it's half of angle AOB
area of shaded region is 804.2477 probably. I'm not sure about this last one sorry I think my calculator messed up
