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)
A. answer is: y = 13/2 OR you can say 6.5 after you simplyfi
13 over 2
b. answer is: x = 18/4 OR you can say 4.5 after you simplyfi
18 over 4
Thank you :)
bye bye later on x_x
To solve this problem, we must simplify the the equation:
<span>Here is the base equation -2m - 5m - 8 = 3 + (-7) + m (Add all like terms):
</span>#1 -2m - 5m - 8 = 3 + (-7) + m (Property of Addition)<span>
#2 -7m - 8 = -4 + m (Most Simplified Equation)
The answer your would be the 2nd one. </span>-7m - 8 = m - 4
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If I helped you out, please give me a gold crown. :)
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Answer:
W = 4inches
Length is 2 inches longer then the width
Step-by-step explanation:
6x4=24inches
