Solve the differential equation.


Mathematics

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Find the area of the region specified in polar coordinates.The smaller loop of the curve r = 6 + 12 sin ?

A. 18(2? + 3)
B. 9(2? - 3)
C. 9(2? + 3)
D. 18(2? - 3)

Mathematics

Find the specified domain and express it in interval notation.For f(x) = x2 - 81 and g(x) = 2x + 3, what is the domain of (x)?

A.  ? 
B. All real numbers
C.
D. (-?, -9) ? (-9, 9) ? (9, ?)

Mathematics

Perform the indicated operations. + 

A.
B.
C.
D. 5c - 4

Mathematics

Factor completely, if possible.15z2 + 2z - 8

A. (3z - 2)(5z + 4) B. (15z - 2)(z + 4) C. (3z + 2)(5z - 4) D. Prime

Mathematics