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)
Answer:
x= 70°
Step-by-step explanation:
the lines overlapping the two sides on the triangle mean that those two sides are congruent, meaning that both of those angles would be equal to 70°
The problem wants to calculate the percentage error of the measurement of 7cm and if the measurement is uncertain we could use the formula of getting the error by margin of error over measurement time 100% and base on the data, the error would be if the margin error is 7.5 is 107 %. I hope you are satisfied with my answer
<span>Reorder the terms:
-2.3(-1.2 + x) = -9.66
(-1.2 * -2.3 + x * -2.3) = -9.66
(2.76 + -2.3x) = -9.66
Solving
2.76 + -2.3x = -9.66
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2.76' to each side of the equation.
2.76 + -2.76 + -2.3x = -9.66 + -2.76
Combine like terms: 2.76 + -2.76 = 0.00
0.00 + -2.3x = -9.66 + -2.76
-2.3x = -9.66 + -2.76
Combine like terms: -9.66 + -2.76 = -12.42
-2.3x = -12.42
Divide each side by '-2.3'.
x = 5.4
Simplifying
x = 5.4</span>
