Answer:
(-1,-1) and (4.1).
1+1
slope of the line: m= ------- = 2/5
4+1
the slope of the perpendicular line: -5/2 and point (-1,3)
(y-3) = -5/2(x+1)
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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So First of all we need to know how to find the area of a circle.
Assuming that the apple pie is the shape of a circle
The formula for area is 
Well we know that the radius = 3.14
And we know that = 3.14 as well.
All we have to do is multiply..
3.14 x 
= 30.95
So the area of the pie is 30.95 in
Good Luck! :)
Answer:
False i think
Step-by-step explanation:
