Iut admission Test Answer Sheet (sol math)
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2020 IUT SOL MATH Sample Answers
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NAME: 2020 IUT Admission Test Answer Sheet (SOL Math) 1. [10 points] One may use the given recursive formula to obtain
,
,
and
successively. 2. [10 points]
≥ ⋅ . Therefore the minimum value of is 16. Answer: Answer: 16 3. [10 points] Graphs of the two curves of of cos and are drawn as follows. The two curves meets at points. 4. [20 points] Since
, we have
Answer: 3 Answer: 3 5. [20 points] The line
should be of the form . Moreover,
has a multiple root. Therefore, the determinant of the equation
should be zero. Thus,
. Therefore or . So, the least slope is . 6. [30 points] lim
→∞ ln lim →∞ ln ln
lim
→ ln ln
ln ln Thus
lim →∞
. Therefore, the largest integer which is not exceeding
.
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