Find the exact value.


Mathematics

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Solve the equation.3(r - 3) + 4(r - 2) = -2(r - 6) + 10(r + 2) 

A. r = –57 B. r = –54 C. r = –49 D. r = –46 E. r = –44

Mathematics

Evaluate the integral using the given substitution. dy , u = y6 + 3y3 + 2

A. (y6 + 3y3 + 2)4 + C
B. (y6 + 3y3 + 2)4(10y4 + 6y) + C
C. (y6 + 3y3 + 2)4 + C
D. 21(y6 + 3y3 + 2)2 + C

Mathematics

Write the expression in the form a + bi, where a and b are real numbers.

A. -5 B. 5 C. 25i D. 5i

Mathematics

Write the first four terms of the sequence.an = (-1)n-1(6n - 4)

A. a1 = -2, a2 = 8, a3 = -14, a4 = -20 B. a1 = 2, a2 = -8, a3 = 14, a4 = -20 C. a1 = 2, a2 = -16, a3 = 14, a4 = -20 D. a1 = 2, a2 = 8, a3 = 14, a4 = 20

Mathematics