Answer: The equations are
6x - 6y = 9
4x + 4y = 9
Step-by-step explanation:
Let x represent the speed of the row boat in still water.
Let y represent the speed of the current.
Dana can travel 9 miles in her rowboat in 6 hours against the current. This means that the total speed at which she travelled is
(x - y) miles per hour.
Distance = speed × time
Distance travelled against the current is expressed as
9 = 6(x - y)
6x - 6y = 9
With the current, it takes 4 hours to row the same distance. This means that the total speed at which she travelled is
(x + y) miles per hour.
Distance travelled with the current is expressed as
9 = 4(x + y)
4x + 4y = 9
The domain of a function is the set of all the x terms of the function and the range of a function is the set of all the y terms of a function.
For example, take a look below.
The domain is the set of all x terms in each ordered pair and the
range will be the set of all the y terms in each ordered pair.
Answer:
13/12838(23)
Step-by-step explanation:
Nolege.
Answer:
Two eighth notes equal one quater note in duration.
Step-by-step explanation:
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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