Evaluate the determinant.

A. a - cb
B. ab - cb
C. -ab - cb
D. cb - ab


Answer: B

Mathematics

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Sketch the graph and show all relative extrema and inflection points.y = 12x - x3

A.

Inflection point: (0, 12)
B.

Relative maximum: (2, 16)
Relative minimum: (-2, -16)
Inflection point: (0, 0)
C.

Relative maximum: (-2, 16)
Relative minimum: (2, -16)
Inflection point: (0, 0)
D.

Relative maximum: (0, 12)

Mathematics

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions.log4

A. -2log4 x
B. 8 - log4 x
C.
D. 2 - log4 x

Mathematics

Provide an appropriate response.A surveyor measured the length of a piece of land at 100-ft intervals (x), as shown in the table. Use Simpson's Rule to estimate the area of the piece of land in square feet.

A. 25,000 ft2 B. 29,500 ft2 C. 24,000 ft2 D. 24,500 ft2

Mathematics

Find the perimeter of the figure.A concrete curb is to be built around a parking lot. How many meters of curbing will be needed?

A. 174 m B. 139 m C. 87 m D. 1820 m

Mathematics