I think the second one but I’m not sure
Step-by-step explanation:
Given points are (-2,5) and (3,-17)
to find midpoint, use this formula
( x1+x2/2 , y1+y2/2)
where points are a(x1,y1) and b(x2,y2)
coming to the question,
midpoint is :
[ (-2-3)/2 , (5-17)/2 ]
[ -5/2 , -12/2 ]
[ -2.5 , -6 ]
OPTION
IS CORRECT
Answer:
226 cubed foot (rounded to 3 s.f.)
Step-by-step explanation:
Volume of cyclinder:
× r² × h
Volume of cylindrical tank =
× 3² × 8
= 72
= 226 cubed foot (rounded to 3 s.f.)
The first equation is linear:

Divide through by

to get

and notice that the left hand side can be consolidated as a derivative of a product. After doing so, you can integrate both sides and solve for

.
![\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac1xy\right]=\sin x](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cleft%5B%5Cdfrac1xy%5Cright%5D%3D%5Csin%20x)


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The second equation is also linear:

Multiply both sides by

to get

and recall that

, so we can write



- - -
Yet another linear ODE:

Divide through by

, giving


![\dfrac{\mathrm d}{\mathrm dx}[\sec x\,y]=\sec^2x](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5B%5Csec%20x%5C%2Cy%5D%3D%5Csec%5E2x)



- - -
In case the steps where we multiply or divide through by a certain factor weren't clear enough, those steps follow from the procedure for finding an integrating factor. We start with the linear equation

then rewrite it as

The integrating factor is a function

such that

which requires that

This is a separable ODE, so solving for

we have



and so on.
Here you go I Found a graph for you