Provide an appropriate response.Which of the following space regions is (are) closed?i.The hemispherical region centered at the origin with z > 0 and radius r bounded by 0 ? r ? roii.The xy-planeiii.The half-space x > 0iv.Space itself

A. ii, iii, and iv
B. iv only
C. ii only
D. ii and iv


Answer: D

Mathematics

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The following table shows average tuition T, in dollars, at a regional university t years after 2010.  t 3 5 7 9 T 23312 23559 23806 24053A: Complete a table of changes to show that the data are linear.B: Find a linear model for the data.C: If this trend persists, when will tuition reach $24794?

What will be an ideal response?

Mathematics

Find the limit.

Mathematics

Solve using the simplex method.Find x1 ? 0 and x2 ? 0 such that  x1 + x2 ? 50  x1 + x2 ? 25 2x1 + x2 ? 60and z = 3x1 + 4x2 is maximized.

A. x1 = 10, x2 = 40, z = 190 B. x1 = 25, x2 = 25, z = 175 C. x2 = 50, x1 = 0, z = 200 D. x1 = 50, x2 = 0, z = 150

Mathematics

Find an equation of the secant line containing (1, f(1)) and (2, f(2)).f(x) = 

A. y = (- + 2)x +  - 4
B. y = (- - 2)x -  + 4
C. y = ( - 2)x +  - 4
D. y = ( - 2)x -  + 4

Mathematics