Find the length of the following curve. X 11 32 y 3 1 IN - y from y = 3 to y = 11 3 N|W 2 y The length of the curve x = - |~ 1 2 from y = 3 to y = 11 is 3 (Type an exact answer, using radicals as needed.)

Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.

A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of a diagonal AB from the upper left rear vertex to the lower right front vertex. Round the answer to 1 decimal place.

Find the area of the shaded portion of this figure. Round your answer to 2 decimal places.