MA 16010 - Exam 3 Practice Exam 1, Exams of Algebra

Download MA 16010 - Exam 3 Practice Exam 1 and more Exams Algebra in PDF only on Docsity! MA 16010 - Exam 3 Practice Exam 1 1. Find the open interval where f(x) = 1 2 x4 + 2x3 is concave downward. A. (−2, 0) B. (−∞,−3) C. (−2,∞) D. (−3, 0) E. (−3,−2) 2. Find the inflection point of y = x3 + 3x2. A. (−2, 4) B. (−2, 0) C. (0, 0) D. (−1, 0) E. (−1, 2) 1 MA 16010 - Exam 3 Practice Exam 1 3. lim x→∞ f(x) =∞ is true for which of the following functions? A. f(x) = 2x3 + x2 − 2 −3x3 + 7 B. f(x) = 2 x + 3 C. f(x) = x + 9 x2 + x + 6 D. f(x) = x− x2 −x + 5 E. f(x) = x3 + x2 − 2 −x + 5 4. Choose the correct statement regarding the asymptotes of f(x). f(x) = x2 − 2x + 6 x + 1 A. Horizontal Asymptote: y = −1; Vertical Asymptote: x = 1; Slant Asymptote: None B. Horizontal Asymptote: y = 0; Vertical Asymptote: x = −1; Slant Asymptote: None C. Horizontal Asymptote: None; Vertical Asymptote: x = −1; Slant Asymptote: None D. Horizontal Asymptote: y = −1; Vertical Asymptote: x = 1; Slant Asymptote: y = x− 3 E. Horizontal Asymptote: None; Vertical Asymptote: x = −1; Slant Asymptote: y = x− 3 2 MA 16010 - Exam 3 Practice Exam 1 9. A company’s marketing department has determined that if their product is sold at the price of p dollars per unit, they can sell q = 2800 − 200p units. Each unit costs $ 10 to make. What is the maximum profit that the company can make? A. 600 dollars B. 800 dollars C. 980 dollars D. 1000 dollars E. 1200 dollars 10. A particle is moving on a straight line with an initial velocity of 10 ft/sec and an acceler- ation of a(t) = √ t + 2, where t is time in seconds and a(t) is in ft/sec2. What is its velocity after 9 seconds? A. 90 ft/sec B. 140 ft/sec C. 46 ft/sec D. 135 ft/sec E. 24 ft/sec 5 MA 16010 - Exam 3 Practice Exam 1 11. A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric fence. With 160 m of wire at your disposal, what is the largest area you can enclose? A. 1600 m2 B. 3200 m2 C. 6400 m2 D. 4800 m2 E. 4000 m2 12. A rectangular box with square base and top is to be constructed using sturdy metal. The volume is to be 16 m3. The material used for the sides costs $4 per square meter, and the material used for the top and bottom costs $1 per square meter. What is the least amount of money that can be spent to construct the box? A. $30 B. $55 C. $96 D. $136 E. $160 6