Find the standard equation of the parabola that satisfies the given conditions. Vertex: (0, 1); focus: (0, 4)
A. x2 = -12(y - 1)
B. x2 = 12(y - 1)
C. (x - 1)2 = 12y
D. y2 = 12(x - 1)
Answer: B
Mathematics
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Solve the problem.For the triangle with vertices located at A(5, 3, 5), B(4, 4, 4), and C(1, 1, 1) , find a vector from vertex C to the midpoint of side AB.
A. 
i + 
j + 
k
B. 
i + 
j + 
k
C. 
i + 
j + 
k
D. 
i + 
j + 
k
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Find the work done by tphe force F = 100i - 25j in moving an object from P(-2,4) to q(150,5).
What will be an ideal response?
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Integrate using any method.
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Find the logarithm using the change-of-base formula.log7 0.96
A. -47.6682 B. 7.2917 C. -0.0210 D. -0.0177
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