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Mathematics-Online problems: | ||

## Solution to the problem of the (previous) week |

** Problem:**

about the x-axis.

Determine the coefficients and find the area of the longitudinal section of the bottle and its volume bounded by the lines given in the drawing. Take the horizontal tangent lines at the x-coordinates 0 and into account.

**Answer:**

(The results should be correct to three decimal places.)

** Solution:**

and hence

Finally, we obtain
.

The area is determined as follows:

The volume is determined as follows:

[problem of the week]