Provide an appropriate response.The profit function for a product is given by P(x) = 12x + x2 - 4320. Determine for what values of x the profit is positive.
Fill in the blank(s) with the appropriate word(s).
x > 60
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Use a CAS integration utility to evaluate the triple integral of the given function over the specified solid region.
over the rectangular solid 
, 
, 
A. 216 B. 288 C. 1296 D. 432
Sketch the vector field in the plane along with its horizontal and vertical components at a representative assortment of points on the circle x2 + y2 = 4.F = 
i - 
j
What will be an ideal response?
Solve.The length ? of a metal rod used in manufacturing cars must not differ from the standard s by more than 0.7 inches. The manufacturing engineers express this as 
If the standard s is 20.7, solve the inequality for the length ?. Express the answer in set-builder notation.
A. { ? 
}
B. { ? 
}
C. { ? 
}
D. { ? 
}
Solve the problem.Find the perimeter of the polygon with the following vertices. Round to the nearest hundredth. A(-4, -5), B(0, 5), C(5, 4), D(3, -3)
A. 33.92 B. 19.66 C. 30.43 D. 37.71