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:
Step-by-step explanation:
Using this, we can subtract and find the answer.
The product of these numbers are 0.100
since 0.100 is same as 0.1
so there is only one decimal place
COMMON SENSE
There is two event that needs to be made: 1. blue eyes, and 2. brown eyes. A spinner is made with a circle. A full circle has 360 degrees and it would be divided based on the probability of the event.
Blue eyes have 25% chance, so the angle of the spinner would be 25%*360°= 90°
Brown eyes have 75% chance, so the angle of the spinner would be 25%*360°= 270°
So, the 90° of the circle would be written as 1(blue eyes) and 270° of the circle will be written as 2(brown eyes).
Is there a picture? I can’t see one
