A fence 8 ft tall runs parallel to a tall building at a distance of 4 ft from the building. What is
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- Опубликовано: 30 сен 2024
- A fence 8 ft tall runs parallel to a tall building at a distance of 4 ft from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
So solving this without a calculator seems like it would be very difficult...
That's why you need to simplify the original equations, both in the substitution step and when taking the derivative. Furthermore to actually find the minimum value you need to include domain and some sort of conclusion statement that isn't included in this video e.g. "f has absolute minimum at x because f' is negative on (some value, 6.35) and positive on (6.35, infty).
Had a homework problem like this that I was stuck on for like 40 minutes.. Then I come watch your video and you make it seem so easy to understand. Thanks :)
thank u so so much, you explained it so well and this was what I was looking for and just gave me a relief that my assignment has diff values but same problem which I can use your way to solve. I find your video easy to follow on and great content. Thanks again.
You're welcome! Thanks for taking the time to leave a comment.
Skipping too many steps to show work! These tricks are nice but not for a tutorial.
What about using y+8 instead of y, as in splitting the height value into two parts like was done to the x? Would that give the same values? Would the proportions have to be different?
Thanks,
I liked the algebraic tricks you did!
Thank you SO much for this! I’ve been stuck on this problem for three days now and all of the other videos I tried were insanely complicated, but this one made perfect sense.
You explain the problem solving method well. But it's hard to follow .... because you don't write smaller and keep all your steps on ONE pg.See any of V Biezen Videos and you will see how he does it..
+f car You're welcome!
Hello, can you help me with this please its urgent, An 8-foot-high fence is parallel to and 1 foot from a building wall.
What is the shortest plank that can go over the fence from the level
from the floor to shore up the wall,......thank you
Explained very well but a minor mistake is that the critical number is the fourth root of 256 and not the cube root of 256
this was very helpful thank you!!!
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Is this by any chance something good to use for calc 1?
Thank you so much. You actually make optimization seem easy
me salvaste la vida amigaso del alma
you're the best and I love you already. all it took was one video to show your great tutoring skills!!!
I have been trying to solve this problem for a while now. The distance between my building and the ladder is 3ft. So i followed every step obviously using the 3ft, and I got to z=sqrt(226.1779) or z=15.0392. However, when I entered the number into the online quiz, the quiz says that my answer is incorrect. So I ask, is this number correct?
+Dennis Bonilla Lamboy I used 3 and got z = sqrt(224.765008) = 14.992. Does that work?
+WNY Tutor Yes it did... what did I do wrong, I had been doing the problem over and over for an hour. How much did you get for x? I got x=256^(1/3). Maybe I got it right up to there.
+Dennis Bonilla Lamboy x should equal (192)^(1/3). Maybe you made a mistake when you simplified 8(3+x)/x while using chain rule to calculate the derivative.
+WNY Tutor Oh wow, yes, while simplifying 8(x+3)/x when distributing the 8 I think I kept doing 8 times 4 in my mind, hence I got a 32 like in the video. 8*3 is 24, that times the other 8 you get at the end is 192. There we go. Such a simple mistake. Thank you a lot!
You're welcome!
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Why is it 4+x where it could have been just 4 only? I can't see why is it necessary for it to have an x since it is stated in the given that the distance is 4ft? Your quick response would be appreciated