Solve the equation. Write the answer in a + bi form.z3 + 8 = 0
A. -2, -1 + 
i, -1 - 
i
B. -2, 1 + 
i, 1 - 
i
C. -2, -1 - 
i, 1 - 
i
D. -2, 1 + 
i, -1 - 
i
Answer: B
Mathematics
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Find the average value of 
over the given region.
over the cube in the first octant bounded by the coordinate planes and the planes 
, 
, 
A. 36 B. 288 C. 96 D. 12
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Use integration by parts to establish a reduction formula for the integral.
A. 
= 
+ 
B. 
= x(ln ax) n - n 
C. 
= ax(ln ax) n - an 
D. 
= 
- 
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Find the volume.Find the volume of the circular cone pictured below. Use 3.14 for ?. Round your answer to the nearest whole number.
A. 162,476 m3 B. 54,159 m3 C. 1934 m3 D. 127,660 m3
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Provide an appropriate response.Use properties to graph the quadratic equation: y = 2x2 - 4
A. I B. II C. III D. IV
Mathematics