Determine the given complex number raised to a power and write the answer in rectangular form.(-3 + 3i)3

A. 27
B. 27 + 9i
C. -3 + 3i
D. 216


Answer: D

Mathematics

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Find the limit using  = 1.

A. 1 B. -1 C. 0 D. Does not exist

Mathematics

Sketch the graph and show all local extrema and inflection points.y = 

A. Local minimum: (2,-1)
Local maximum: (-2,1)
Inflection point: (0,0)


B. Local minimum: (-2,-1)
Local maximum: (2,1)
Inflection point: (0,0), (-2, -1),(2, 1)


C. Maximum: (0,1)
No inflection point


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


Mathematics

Solve.A rock falls from a tower that is 192 ft high. As it is falling, its height is given by the formula  How many seconds will it take for the rock to hit the ground (h=0)? Round to the nearest tenth.

A. 3.5 sec B. 12.3 sec C. 13.9 sec D. 2304 sec

Mathematics

Solve the problem. Assume that all pizzas are circular in shape and that the measurement given in the table is the diameter of the pizza in inches. Use 3.14 as the approximate value of ?. Use the table below to find the cost per square inch for each size of cheese pizza. Round your answers to the nearest thousandth. Which size is the best buy?Cheese$4.30$8.10$10.90Veggie$5.30$9.20$12.60Pesto$5.80$10.30$13.90

A.

Small ? $0.028
Medium   ? $0.018
Large     ? $0.014
Best buy: large
B.
Small ? $0.196
Medium   ? $0.215
Large     ? $0.217
Best buy: small
C.
Small ? $8.945
Medium   ? $13.956
Large     ? $18.437
Best buy: small 
D.
Small ? $0.112
Medium   ? $0.072
Large     ? $0.054
Best buy: large

Mathematics