$($i$)$

lapter $10,11$

Question $8$ of $14$

Evaluate the series or state that it diverges.

Explain your reasoning and submit it to Canvas.

$11\mathrm{.}012{1\mathrm{.}012}^2{1\mathrm{.}012}^3$ cdots

Select the correct choice and, if necessary, fill in the answer box to complete your choice.

A$.$ The series evaluates to

B$.$ The series diverges.

A bucket that has a mass of $20$ kg when filled with sand needs to be lifted to the top of a $25$ meter tall butting. You have a rope that has a mass of $0\mathrm{.}1k\frac{g}{m}$ that must be secured to the bucket. It takes $1$ meter of rope to secure the bucket. Once the bucket reaches the top of the building it only has mass $13$ kg because there was a hole in the bottom and sand was leaking out at a constant rate while it was being lifted to the top of the building.

Find the work done lifting the bucket $($sand and rope$)$ to the top of the bulling.

$$ Jovies

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