Hello,
I am going to remember:
y'+3y=0==>y=C*e^(-3t)
y'=C'*e^(-3t)-3C*e^(-3t)
y'+3y=C'*e^(-3t)-3Ce^(-3t)+3C*e^(-3t)=C'*e^(-3t) = t+e^(-2t)
==>C'=(t+e^(-2t))/e^(-3t)=t*e^(3t)+e^t
==>C=e^t+t*e^(3t) /3-e^(3t)/9
==>y= (e^t+t*e^(3t)/3-e^(3t)/9)*e^(-3t)+D
==>y=e^(-2t)+t/3-1/9+D
==>y=e^(-2t)+t/3+k
(x) = arcsec(x) − 8x
f'(x) = d/dx( arcsec(x) −
8x )
<span> 1/xsqrt( x^2 - 1) - 8</span>
f'(x) = 0
1/xsqrt( x^2 - 1) - 8 = 0
8 x sqrt (x^2-1) = 1
<span> ( 8 x sqrt (x^2-1) )^2 = 1</span>
64 x^2 ( x^2 - 1) = 1
64 x^4 - 64 x^2 =1
64 x^4 - 64 x^2 - 1 = 0
x = 1.00766 , - 1.00766
<span> x = - 1.00766</span>
f(- 1.00766) = arcsec(-
1.00766) − 8( - 1.00766)
f( - 1.00766 ) = 11.07949
x = 1.00766
f(1.00766) =
arcsec(1.00766) − 8( 1.00766)
f(1.00766 ) = -7.93790
relative maximum (x, y) =
(- 1.00766 , 11.07949 ) relative minimum (x, y) = ( 1.00766 ,
-7.93790 )
Answer:
The correct option is A). $112295.05
Step-by-step explanation:
The equation for approximating the total cost is given to be :
y = 1.55x + 110419 , where x is the annual household's income and y is the total cost in dollars of raising a child in the united states from birth to 17 years
We need to calculate the total cost of raising a child in the united states from birth to 17 years if the annual household's income is given to be $1211
So, for this we will use the given equation and substitute x = 1211 and find the value of y which will be our total cost
⇒ Total cost , y = 1.55 × 1211 + 110419
⇒ y = 1877.05 + 110419
⇒ y = 112296.05 ≈ 112295.05
Hence, The approximate total cost of raising a child from birth to 17 years in a household with a weekly income of $1211 = $112295.05
Therefore, The correct option is A). $112295.05
Original equation is 
So, 
and
If we compare this equation with the given options, we can easily find that this matches with the last one 
with P = p/2.
Hence, correct option is .
