Answer:
required time is here 45 minutes
Step-by-step explanation:
given data
apples = 100
bananas = 100
oranges = 100
pears = 100
solution
we have here 4 different kind of fruit
so that it is possible for each kind of fruit is
each kind of fruit is = 4 × 11 = 44
so each kind contain 11 fruit
as that 45th fruit make a dozen
now 1 fruit is pick every minute
'so we take here 45 minute to pick up 45 fruit
so that required time is here 45 minutes
Answer:
3,4,5,6,7,8
Step-by-step explanation:
sum of 2 with other possible numbers:
2+1, 2+2, 2+3, 2+4, 2+5, 2+6
3, 4, 5, 6, 7, 8
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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Answer:
32
Step-by-step explanation:
base multiplied by the height divided by 2
