Answer:
-6.61
Step-by-step explanation:
Unless there is more included in this problem then -6.61 is the slope. Slope is represented as m in y=mx+b. Simply substituting in the slop and y-intercept shows that m=-6.61 or the slope is -6.61.
Answer:
Step-by-step explanation:
Answer:
They will be picked up at 2 
yards above sea level
Step-by-step explanation:
Let us consider sea level as reference and positions above sea level as positive and below sea level as negative.
With respect to this reference,
the position of top most point is +17 
yards
and the position of lower most point is -13 yards
⇒ The position of midpoint is 
= +2
∴ <u>They will be picked up at 2 yards above sea level</u>
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)
For more information about differential equation, visit
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16 gal... 480 mi
1 gal... 480/16 = 30 mi
9 gal.. 30*9 = 270 mi
