Find the magnitude of the vector and the angle , that the vector makes with the positive x-axis.

?

?

?



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


Answer: A

Mathematics

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Determine if the series converges or diverges. If the series converges, find its sum.

A. converges; 
B. converges; 3
C. converges; 1
D. converges; 

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Solve the problem.A company applies a clear glaze finish on the outside of the ceramic bowls it produces. The bowl corresponds to the bottom half of a sphere which is created by rotating the circle  around the x-axis. The finish is to be 0.2 cm thick, and the company wants to create 3000 bowls. Use the fact that  to calculate how many liters of finish are required. Assume that all specifications for the bowl are in cm.

A. 150.8 L of finish B. 60.32 L of finish C. 30.16 L of finish D. 1.51 L of finish

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Give an appropriate answer.Show that the function r(?) = 3 cot ? +  + 7 has exactly one zero on the interval (0, ?).

What will be an ideal response?

Mathematics

Find the simple interest. Round your answer to the nearest cent.Principal = $1150Rate = 3%Time in years = 1

A. $19.71 B. $6.04 C. $60.38 D. $670.83

Mathematics