Answer:
A function that gives the work required in foot-lbs to lift the bucket up x feet from the ground is
and the work to get the bucket to the top of the cliff is 3726 foot-lbs
Step-by-step explanation:
Work done to lift the rope by distance x feet:

Work done to lift the bucket by distance x feet:

On reaching top 7 gallons of water spilled out so , on going up by x feet
gallons of water spilled out.
a function that gives the work required in foot-lbs to lift the bucket up x feet from the ground:

Now the work to get the bucket to the top of the cliff i.e. x =35

W=3726
Hence, a function that gives the work required in foot-lbs to lift the bucket up x feet from the ground is
and the work to get the bucket to the top of the cliff is 3726 foot-lbs
Hey there!

Your correct answer would be
. . .

Hope this helps.
~Jurgen
Answer:
The nth terms: 15,24,33,42,51,60,69,78,87,96,105...
Step-by-step explanation:
The nth term of an arithmetic sequence is given by an = a + (n – 1)d. So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula