Answer:
point k and point n
K L M N
Step-by-step explanation:
Answer:
293.38 pounds
Step-by-step explanation:
We are given that
Distance between poles=35 feet
![h(x)=10+0.1(x^{1.5})](https://tex.z-dn.net/?f=h%28x%29%3D10%2B0.1%28x%5E%7B1.5%7D%29)
Weight of cable=10.4 per linear foot
We have to find the weight of the cable.
Differentiate w.r.t
![h'(x)=0.1(1.5)x^{0.5}=0.15x^{0.5}](https://tex.z-dn.net/?f=h%27%28x%29%3D0.1%281.5%29x%5E%7B0.5%7D%3D0.15x%5E%7B0.5%7D)
![s=2\int_{0}^{17.5}\sqrt{1+(h'(x))^2}dx](https://tex.z-dn.net/?f=s%3D2%5Cint_%7B0%7D%5E%7B17.5%7D%5Csqrt%7B1%2B%28h%27%28x%29%29%5E2%7Ddx)
![s=2\int_{0}^{17.5}\sqrt{1+(0.15x^{0.5})^2}dx](https://tex.z-dn.net/?f=s%3D2%5Cint_%7B0%7D%5E%7B17.5%7D%5Csqrt%7B1%2B%280.15x%5E%7B0.5%7D%29%5E2%7Ddx)
![s=2\int_{0}^{17.5}\sqrt{1+0.0225x}dx](https://tex.z-dn.net/?f=s%3D2%5Cint_%7B0%7D%5E%7B17.5%7D%5Csqrt%7B1%2B0.0225x%7Ddx)
Let ![1+0.0225x=t](https://tex.z-dn.net/?f=1%2B0.0225x%3Dt)
![dx=\frac{1}{0.0225}dt](https://tex.z-dn.net/?f=dx%3D%5Cfrac%7B1%7D%7B0.0225%7Ddt)
![s=\frac{2}{0.0225}\int_{0}^{17.5}\sqrt{t}dt](https://tex.z-dn.net/?f=s%3D%5Cfrac%7B2%7D%7B0.0225%7D%5Cint_%7B0%7D%5E%7B17.5%7D%5Csqrt%7Bt%7Ddt)
![s=\frac{2}{0.0225}\times\frac{2}{3}[t^{\frac{3}{2}}]^{17.5}_{0}](https://tex.z-dn.net/?f=s%3D%5Cfrac%7B2%7D%7B0.0225%7D%5Ctimes%5Cfrac%7B2%7D%7B3%7D%5Bt%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5D%5E%7B17.5%7D_%7B0%7D)
![s=2\times \frac{2}{3\times0.0225}[(1+0.0255x)^{\frac{3}{2}]^{17.5}_{0}](https://tex.z-dn.net/?f=s%3D2%5Ctimes%20%5Cfrac%7B2%7D%7B3%5Ctimes0.0225%7D%5B%281%2B0.0255x%29%5E%7B%5Cfrac%7B3%7D%7B2%7D%5D%5E%7B17.5%7D_%7B0%7D)
![s=\frac{4}{3\times 0.0225}((1+0.0225(17.5))^{\frac{3}{2}-1)](https://tex.z-dn.net/?f=s%3D%5Cfrac%7B4%7D%7B3%5Ctimes%200.0225%7D%28%281%2B0.0225%2817.5%29%29%5E%7B%5Cfrac%7B3%7D%7B2%7D-1%29)
s=28.21
Weight of cable=
pound
The answer will be A. 471/11. Hope it help!