Write as a single logarithm.7 loge x - loge y

A. log_e x⁷
B. log_e x⁷y³
C. log_e
D. log_e

Answer: D

Mathematics

Find the first four terms of the binomial series for the given function.(1 + 6x)-1/2

A. 1 - 3x + x² - x³
B. 1 - 3x - 27x² - x³
C. 1 - 3x + x² - x³
D. 1 - 3x + x² - x³

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Mathematics

Use the prime factorization method to find the LCM of the given numbers.6, 12, and 22

A. 22 B. 264 C. 132 D. 1584

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Mathematics

Points P and Q have coordinates P(m, n) and Q(3m, 3n). Find, M, the midpoint of PQ. Then use the distance formula to show that PM = 1/2 (PQ).

What will be an ideal response?

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Mathematics

Find the solution of the differential equation that satisfies the initial condition y(0) 1.

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Mathematics