Find y '.y = (x2 - 2x + 2)(4x3 - x2 + 5)

A. 20x4 - 36x3 + 30x2 + 6x - 10
B. 4x4 - 36x3 + 30x2 + 6x - 10
C. 4x4 - 32x3 + 30x2 + 6x - 10
D. 20x4 - 32x3 + 30x2 + 6x - 10


Answer: A

Mathematics

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Use logax = (ln x)/(ln a) to calculate the logarithm. Round to the nearest ten thousandth.log? 600

A. 5.5882 B. 2.0362 C. 524.1415 D. 0.1789

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Find the surface area of the geometric solid. If needed, use 3.14 as an approximation for ? and round the answer to the nearest tenth.Sphere: r = 5 mi

A. 104.7 mi2 B. 314 mi2 C. 523.3 mi2 D. 78.5 mi2

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Find the vertex, focus, and directrix of the parabola. Graph the equation.(y - 1)2 = (x - 3)

A. vertex: (-3, -1)
focus: (-3, -0.75)
directrix: y = -1.25

B. vertex: (3, 1)
focus: (3, 1.25)
directrix: y = 0.75

C. vertex: (-1, -3)
focus: (-0.75, -3)
directrix: x = -1.25

D. vertex: (3, 1)
focus: (3.25, 1)
directrix: x = 2.75

Mathematics

Factor out the greatest common factor.18m9 - 54m4 - 12m2

A. m2(18m7 - 54m2 - 12) B. 6m2(3m7 - 9m2 - 2) C. no common factor D. 6(3m9 - 9m4 - 2m2)

Mathematics