Find the integral using an appropriate trigonometric substitution.


Mathematics

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Determine if the geometric series converges or diverges. If it converges, find its sum. + 2 + 3 + 4 + 5 + . . .

A. diverges
B. converges, 1
C. converges, 2
D. converges, 

Mathematics

Find the partial fraction decomposition for the rational expression.

A. -  - 
B. -  - 
C.  + 
D. -  - 

Mathematics

Find the indicated cross product.v = -2i + 3j + k, w = 6i + 5j - kFind w × v.

A. -8i + 4j + 36k B. 4i - 8j + 28k C. 8i - 4j + 28k D. 28i - 8j + 8k

Mathematics

Draw a complete graph so that it has the given type of symmetry.origin

A.

B.

C.

D.

Mathematics