Answer:
75?
Step-by-step explanation:
1/4 = 25
25 x 3 =75
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3/4=75
Answer:
Step-by-step explanation:
Neither.
It is a complex number. The - sign is the culprit. sqrt(-144) = i * sqrt(144) = 12 i
The "i" is an imaginary representation for the square root of -1. It is a definition for sqrt(-1). So a new category of number has been created. The ancients would have been profoundly surprised to learn that such a thing existed.
s is the length and w is width which the equation is 2s+2w=P
Answer:
CA = 13.5
Step-by-step explanation:
tan 64 = CA/6.6
2.05 = CA/6.6
CA = 13.5
The solution to the given differential equation is yp=−14xcos(2x)
The characteristic equation for this differential equation is:
P(s)=s2+4
The roots of the characteristic equation are:
s=±2i
Therefore, the homogeneous solution is:
yh=c1sin(2x)+c2cos(2x)
Notice that the forcing function has the same angular frequency as the homogeneous solution. In this case, we have resonance. The particular solution will have the form:
yp=Axsin(2x)+Bxcos(2x)
If you take the second derivative of the equation above for yp , and then substitute that result, y′′p , along with equation for yp above, into the left-hand side of the original differential equation, and then simultaneously solve for the values of A and B that make the left-hand side of the differential equation equal to the forcing function on the right-hand side, sin(2x) , you will find:
A=0
B=−14
Therefore,
yp=−14xcos(2x)
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