Help me please calculate the value of x in the polygon
1 answer:
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Assuming you mean
This ODE is linear in
, and you can already contract the left hand side as the derivative of a product:
![\dfrac{\mathrm d}{\mathrm dt}\left[5y\sin t\right]=\cos t\sin^2t](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dt%7D%5Cleft%5B5y%5Csin%20t%5Cright%5D%3D%5Ccos%20t%5Csin%5E2t)
Integrating both sides with respect to
yields
Given that
, we have
so that the particular solution over the interval is
This ODE is linear in
Integrating both sides with respect to
Given that
so that the particular solution over the interval is
Answer: 1080
Determine the values of b1, b2, and b3, the sides of the triangular base. Also determine the value of h, the height of the triangular base and l, the length of the prism (the length between the bases).
The sides of the triangular base are:
b1 = 13 in.
b2 = 14 in.
b3 = 15 in.
The triangular base is a right triangle, and so the height is one of our sides. We will use
h = 12 in.
The length of the prism is
l = 20 in.
total surface area = bh + (b1+b2+b3)*l
bh = 12*20 = 240
l * (b1+b2+b3) = 20*(13 + 14+ 15) = 840
TSA = bh + l * (b1 + b2 + b3) = 240 + 840 = 1080
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