Solve the equation. - 5 = 1

A. 8
B. -12
C. -8
D. 12


Answer: D

Mathematics

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Evaluate the integral.  

A. -sin-1 -  + C
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C.  - 2 ln  + C
D.  - sin-1  + C

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Find the tangential and normal components of the acceleration.r(t) = (t + 9)i + (ln(cos t) - 3)j + 1k

A. a = (-sec t tan t)T - (sec t)N  B. a = (sec t tan t)T - (sec t)N  C. a = (sec t tan t)T + (sec t)N  D. a = (-sec t tan t)T + (sec t)N 

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By calculating an appropriate number of terms, determine if the series converges or diverges. If it converges, find the limit L and the smallest integer N such that  for  otherwise indicate divergence.an = (1 + 0.153/n)n

A. L ? 1.1653, N = 6 B. L ? 1.153, N = 6 C. L ? 1.1653, N = 2 D. diverges

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Solve the problem.A comet follows the hyperbolic path described by  -   = 1, where x and y are in millions. If the sun is the focus of the path, how close to the sun is the vertex of the path? 

A. 3.9 million B. 0.8 million C. 22 million D. 4.7 million

Mathematics