An open-top box is to be constructed so that its base is three times as long as its width.  Its volume is to be 3000 cm3.  Find the dimensions that will minimize the amount of cardboard needed.

Determine a vector equation for the line that contains A(3, 1, -2) and B(0, 4, 2). Verify that the point (-3, 7, 6) is on the line.

Which vector is not normal to the plane x + 2y – 3z – 4 = 0?

A line in two-space has scalar equation 3x + 5y + 9 = 0.  Which vector is parallel to the line?

The equation 2x + 5y = 9 can represent

Find and test all critical numbers for the function f(x) = x3 + 9×2 – 21x – 12.

How many solutions does this system have? 10x – 7y = 10 4x + 5y = 12

Which property of vectors is incorrect?

Find the correct thermodynamic description of the following  reaction that is spontaneous at some conditions:  S6(s) => 6S(g)

The morphological species concept is made more challenging by the existence of