Using Laplace transform we have:L(x')+7L(x) = 5L(cos(2t))sL(x)-x(0) + 7L(x) = 5s/(s^2+4)(s+7)L(x)- 4 = 5s/(s^2+4)(s+7)L(x) = (5s - 4s^2 -16)/(s^2+4)
=> L(x) = -(4s^2 - 5s +16)/(s^2+4)(s+7)
now the boring part, using partial fractions we separate 1/(s^2+4)(s+7) that is:(7-s)/[53(s^2+4)] + 1/53(s+7). So:
L(x)= (1/53)[(-28s^2+4s^3-4s^2+35s-5s^2+5s)/(s^2+4) + (-4s^2+5s-16)/(s+7)]L(x)= (1/53)[(4s^3 -37s^2 +40s)/(s^2+4) + (-4s^2+5s-16)/(s+7)]
denoting T:= L^(-1)and x= (4/53) T(s^3/(s^2+4)) - (37/53)T(s^2/(s^2+4)) +(40/53) T(s^2+4)-(4/53) T(s^2/s+7) +(5/53)T(s/s+7) - (16/53) T(1/s+7)
Answer is 24 because you cannot divide 24 by 5 without getting a decimal
Answer:
Step-by-step explanation:
(2,1), (-2,-1)
slope(m) = (-1-1) / (-2 - 2) = -2/-4 = 1/2
parallel lines will have the same slope
y = mx + b
slope(m) = 1/2
(-4,8)...x = -4 and y = 8
now sub and find b, the y int
8 = 1/2(-4) + b
8 = -2 + b
8 + 2 = b
10 = b
so ur equation is : y = 1/2x + 10 <==
Six and eighty hundred thirty seven thousandths
Answer:
Vertical
x=49
Step-by-step explanation:
