Find the vertex of the parabola, and determine whether the parabola opens upward, downward, to the left, or to the right.y = (x + 1)2 + 1

A. (-1, -1), up
B. (-1, 1), up
C. (0, 1), down
D. (1, 0), down


Answer: B

Mathematics

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Find the volume of the solid generated by revolving the region about the given axis. Use the shell or washer method.The triangle with vertices (0, 0), (0, 2), and (2, 2) about the line x = 2

A. ?
B. ?
C. ?
D. ?

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Use implicit differentiation to find the specified derivative at the given point.Find  at the point (-1, 1) for 5x -  + 6x2y2 = 0.

A.
B. - 
C.
D. - 

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As part of a statistics project, a 6th grade teacher brings to class a container with 200 red marbles and 800 white marbles which are thoroughly mixed. To figure out how many marbles in the container are red without actually counting them all, a student randomly draws 150 marbles from the container. Of the 150 marbles drawn, 33 are red.The sampling proportion is

A. 15%. B. 25%. C. 75%. D. 22%. E. none of these

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Find the roots of the equations.0.95x + 0.99(16 - x) = 15.52

A. {-8} B. {8} C. {0.08} D. {-0.08}

Mathematics