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:
D
Step-by-step explanation:
B has a y-intercept of 4, greater than A's y-intercept of -4. This means that D is correct.
Answer:
You can expect at least 9 of her postcards to arrive within a week
To find that, we multiply the number of postcards by the probability
15 x 0.62 = 9.3
Hope this helps
Good Luck
The 10 Common Positive Emotions:
- Love.
- Serenity.
- Forgiveness.
- Awe.
- Joy.
- Interest.
- Hope.
- Pride.
Examples of negative thoughts include: All or nothing: “If this date isn't successful, I'll be single forever.” Overgeneralizing: “I've been bad at every single job I've had.” ... Mind reading: “All my friends/co-workers/family think I'm mad
- <em>BRAINLIEST answerer ❤️✌</em>
The x-value of -7 shows up more than once in relation ...
B. X -7 -5 -7 2 Y 34 32 40 34
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When there is more than one y-value for an x-value, the relation is NOT a function.
