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Find a power series for the following function. f ( x ) = 2 sin ⁡ x cos ⁡ x {“version”:”1.1″,”math”:”f(x) = 2\sin x \cos x”}Hint: Start with a trigonometric identity to rewrite the function. (Show all sufficient work in steps and use the technique or method discussed in this course.)

A good full-sentence outline can help your audience understand your message.

Diffuse reflection:

As imaging depth increases, pulse repetition period

Consider the sequence defined bya1=1an+1=2an−4Find the next three terms (a2, a3, a4) of the sequence. (Show all sufficient work in steps and use the technique or method discussed in this course.)

A very important step to be taken in the introduction of a speech is to:

Name the region labeled 12.

Find the center of mass of the region bounded by y=3×2 and y=x2+5{“version”:”1.1″,”math”:”y=3×2 and y=x2+5″}. Write your answer as an ordered pair. (Show all sufficient work in steps and use the technique or method discussed in this course.)

Which law of physics describes the refraction of sound at the boundary between two media with different propagation speeds?

Does the following series converge or diverge? State which test you use and show all work. ∑ n = 1 ∞ ( 1 e + 4 n ) n {“version”:”1.1″,”math”:”\sum\limits_{n=1}^\infty \left(\frac{1}{e} + \frac{4}{n}\right)^n”}(Show all sufficient work in steps, use the technique or method discussed in this course and include the name of test you used.)