Classify each extrema as a mini mum or a maximum 6 3 points Simplify using only

# Classify each extrema as a mini mum or a maximum 6 3

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and their locations to the nearest hundredth. Classify each extrema as a mini- mum or a maximum. 6. (3 points) Simplify, using only positive exponents: 2 3 2 12 30 ab b a . 7. (3 points) Determine the value of log 9 37, approximated to four decimal places. EXAM CONTINUES ON THE REVERSE

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Math 123/28019, Winter 18, Final-II, Herschkorn 8. (4 points) Solve algebraïcally : 4 2 x +1 = 13 3- x . Give the answer rounded to four deci- mal places. 9. (4 points) Lisa is building a fence for a rectangular pen out of two different types of wood. The wood for the longer side of the pen costs \$2 per meter. The wood for shorter side costs \$3 per meter. The pen must have an area of 75 m². What are the dimensions of the pen with the least expensive fence? Please round your answer to the nearest tenth of a meter. 10. (2 points) Please determine an equation for the line which passes through the points (5, -3) and (2, 1). 11. (4 points) [Spring ’18: We did not cover this.] 12. (8 points) log a 2 = 0.2975; log a 3 = 0.4715, and log a 5 = 0.6907. Please determine each of the following to four decimal places. (a) log a . (b) log a 50. (c) 2 log a . (d) log 3 a 4 . 13. (4 points) Please solve algebraïcally : 2 x + 35 < x ². 14. (5 points) In ABC , AB = 4, BC = 9 and m B = 25 . Please solve this triangle. Estimate the angle(s) to nearest tenth of a degree, and estimate the side(s) to the near- est hundredth. END OF EXAMINATION
• Fall '19
• Fractions, Decimal, Elementary arithmetic, Exponentiation, Stephen J. Herschkorn

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