An open box is to be made from a square piece of cardboard, 35 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below). Determine the function, V, in terms of x, that represents the volume of the box.

a.

b.

c.

d.

e.


e.

Mathematics

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Solve the problem.On a map of the Thunderbird Country Club golf course, 1.5 inches equals 60 yards. How long is the 13th hole if the map shows 10 inches?

A. 600 yd B. 9.0 yd C. 900 yd D. 400 yd

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Use polar coordinates to find the limit of the function as (x, y) approaches (0, 0).f(x, y) = 

A. 0 B. ? C. 1 D. No limit

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Various signs have symmetries. Determine if the following sign has line symmetry, turn symmetry, and/or point symmetry, if any.Taxi

A. This sign has turn symmetry only. B. This sign has no symmetry. C. This sign has point symmetry only. D. This sign has line symmetry only.

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Verify the identity.(1 - cos x)(1 + cos x) = sin2x

What will be an ideal response?

Mathematics