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1 1 of 6 MATH 179: Exam 3 Review ( ) Question Instructions Here are some review questions from Sections 8.1, 8.2, 8.3, 10.0, 10.1, and Please work some example problems and bring suggestions to class as to which problems you would like to see on the exam. I am thinking we should have a 10 question test, and I would like to include at least 1 question from each section. I am thinking 45 problems from section Again, if you have any questions, please me: Joshua.Patterson@tamuc.edu 1. Question Details JModd CMI. [ ] Find the area of the figure. (Round your answer to one decimal place.) 21.8 ft 2 2. Question Details JModd [ ] Consider the following figure. (a) Find the area of the figure. 114 m 2 (b) Find the perimeter of the figure. 52 m
2 2 of 6 3. Question Details JModd [ ] Consider the following figure. (Round your answers to one decimal place.) (a) Find the area of the figure in 2 (b) Find the perimeter of the figure in 4. Question Details JModd CMI. [ ] Find the volume and the surface area of the figure. (Round your answers to two decimal places.) (a) the volume in 3 (b) the surface area in 2
3 3 of 6 5. Question Details JModd CMI. [ ] Find the volume and the surface area of the figure. (Round your answers to two decimal places.) (a) the volume in 3 (b) the surface area in 2 6. Question Details JModd [ ] Find the volume of the figure. All dimensions are given in feet. (Round your answer to two decimal places.) ft 3
4 4 of 6 7. Question Details JModd [ ] From a 10inchby14inch piece of cardboard, 2.5inchsquare corners are cut out, as shown in the figure below, and the resulting flaps are folded up to form an open box. Find the volume and the external surface area of the box. (a) the volume in 3 (b) the external surface area 115 in 2 8. Question Details JModd [ ] A propane gas tank consists of a cylinder with a hemisphere at each end. Find the volume of the tank if the overall length is 10 feet and the diameter of the cylinder is 4 feet, as shown in the figure. (Round your answer to two decimal places.) ft 3 9. Question Details JModd [ ] Determine whether the configuration of knotted ropes would form a right triangle. No Yes 10. Question Details JModd [ ] Find the perimeter of a triangle having sides with the following measurements: 4 cubits, 5 palms, 3 fingers; 5 cubits, 3 palms, 3 fingers; 6 cubits, 4 palms, 2 fingers. 17 cubits
5 5 of Question Details JModd [ ] A rectangular field measures 60 cubits by 1500 cubits. Find the area of this field in setats. 9 setats 12. Question Details JModd7 10.0A.001. [ ] Find the value of v. v = log 4 2 v = Question Details JModd7 10.0A.004. [ ] Find the value of v. v = log v = Question Details JModd7 10.0A.007. [ ] Find the value of u. log u = 0 7 u = Question Details JModd7 10.0A.009.CMI. [ ] Find the value of b. log 9 = 2 b b = Question Details JModd7 10.0A.013.CMI. [ ] Rewrite the logarithm as an exponential equation. (Use capital letters for variables R and W.) R = log b W 17. Question Details JModd7 10.0A.020. [ ] Rewrite the exponential equation as a logarithm. (Use capital letters for variables U and X.) b U = X 18. Question Details JModd7 10.0A.027. [ ] Use a calculator to find each value. (Round your answers to eight decimal places.) (a) e (b)
6 6 of Question Details JModd7 10.0A.046. [ ] Use a calculator to find each value. (Round your answers to eight decimal places.) (a) ln(e 3.4 ) 3.4 (b) log( ) Question Details JModd7 10.0A.050. [ ] Use a calculator to find each value. (Round your answers to eight decimal places.) (a) ln 3.9 e 3.9 (b) log Question Details JModd CMI. [ ] A house is purchased for $140,000 in January A year later, the house next door is sold for $149,800. The two houses are of the same style and size and are in similar condition, so they should have equal value. Use the model v = 140e t, where t is the number of years after January 2004 and v is the value in thousands of dollars, to predict when the house would be worth $240,000. The house will be worth $240,000 in December, Question Details JModd CMI. [ ] A biologist is conducting an experiment that involves a colony of fruit flies. (Biologists frequently study fruit flies because their short life span allows the experimenters to easily study several generations.) One day, there were 2,630 flies in the colony. Three days later, there were 5,580. (a) Develop the mathematical model that represents the population p of flies. (Write your model in terms of t, where t is measured in days. Round the coefficient of t to seven decimal places.) p(t) = (b) Use the model to predict the population after one week. (Round your answer up to the next whole number.) 15,213 flies (c) Use the model to predict when the population will be double its initial size. (Round your answer to one decimal place.) 2.8 days 23. Question Details JModd CMI. [ ] Solve the system with the elimination method. Check your answers by substituting them back in. 4x + 7y = 15 8x 3y = 13 (x, y) = 2, Question Details JModd CMI. [ ] Solve the system with the elimination method. Check your answers by substituting them back in. 5x 2y = 23 x + 2y = 5 (x, y) = 3, 4 Assignment Details
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