Congrats on making it to integrals!
Basically you need to integral your function because integral rate in respect to time = total amount.
Also your bounts are (2001-1990,2006-1990)=(11,16)
Thus we take integral like:
int(11,16)(928.5e^(0.0249x))=
(11,16)928/0.0249e^(0.0249(x))-928/0.0249e^(0.0249(x))
(You can check this by taking its derivative and seeing if you get the original function)
928/0.0249e^(0.0249(16))-928/0.0249e^(0.0249(11))=6498.1
Answer:
c=6 They sold a total of 114 cans
Step-by-step explanation: The ratio is 7:12, so last week, he sold 42 cans, meaning that you need to divide 42 by to get 6 in order to figure out the amount Ellen sold last week. Then do 6 times 12 to get 72 cans sold for Ellen. Add 72 to 42 to get 114 cans sold in total.
Answer:
The complete solution is
Step-by-step explanation:
Given differential equation is
3y"- 8y' - 3y =4
The trial solution is
Differentiating with respect to x
Again differentiating with respect to x
Putting the value of y, y' and y'' in left side of the differential equation
The auxiliary equation is
The complementary function is
y''= D², y' = D
The given differential equation is
(3D²-8D-3D)y =4
⇒(3D+1)(D-3)y =4
Since the linear operation is
L(D) ≡ (3D+1)(D-3)
For particular integral
[since 
]
[ replace D by 0 , since L(0)≠0]
The complete solution is
y= C.F+P.I
First, you must find the width of GHJK. Since the area of it is 84m², divide 84 by 7.
84÷7=12
So the width of GHJK is 12m.
Next, find the scale of GHJK to LMNP. Since the height of both are already available, you can divide 21÷7 to get 3
This means that to get the width of LMNP you must multiply the width of GHJK by 3.
12×3=36.
Now, to get the area of LMNP, multiply 21 by 36.
21×36=756
So, the area of LMNP is 756m². (Don't forget the units!>
Answer:
x=(c/a+b)
Step-by-step explanation:
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