Math 114 PRACTICE EXAM 3

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Charity Lloyd
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1 Math 114 PRACTICE EXAM DO NOT BEGIN THIS TEST UNTIL YOU ARE TOLD TO DO SO. You will have 50 minutes from this time to finish this exam. 1) This exam consists of 1 questions on pages including this front page. ) You will need a pencil or pen, one calculator and this exam paper. Please clear everything else from your desk. (Please turn off or switch cell phones to manner mode.) ) Calculators such as the TI89, TI-NSPIRE, Voyage 00, TI9, TI9+, HP49G, HP49G+, HP50G, Casio algefx.0, algefx.0pls or laptop, handheld, desktop and palmtop computers are NOT to be used. The use of cell phones, PDAs, Blackberries, head sets, or any other wireless device in the classroom is specifically prohibited. Please do not ask your instructor/proctor about calculator use or mode. You must clear all programs/formulas from your calculator memory. 4) Please look at blackboard/screen for possible corrections to this exam. 5) Do not spend too much time on a particular problem. Work the problems that are simplest for you first. ) There is no partial credit on multiple choice questions. On open-ended questions, grading will be based on your method. Show all of your work. NO WORK = NO CREDIT! DO NOT SKIP STEPS! You must show all work and/or illustrations that support your answer in order to get credit. Be neat and orderly. If you need additional space, use the back of the exam pages. 7) Circle the letter of the correct answer for multiple choice questions. For open-ended questions, place answers in the space/box provided. Answers can be in any form unless otherwise specified. For problems asking for EXACT answers, leave in terms of fractions, and number. For decimal answers, round to 5 decimal places unless otherwise specified. You must simplify your solutions. You should have no complex fractions. You may leave a radical in the denominator.

2 1. (9 points) The simple harmonic motion model of a spring is given by d 8 cos t where d is in inches and t is in seconds. Find: (Show work for each part. Provide EXACT answers only with correct units.) a) The maximum displacement from rest. b) The time required for one oscillation. c) The frequency.. (7 points) A toy rocket is to be launched from the ground aimed toward a big tree on the other side of a privacy fence. If it is 1 feet from the launching position to the base of the fence and the fence is 9 feet tall, what must be the minimum angle of elevation in whole degrees so that when the rocket is launched, the rocket will clear the fence? (Show all work. Draw a fully labeled illustration showing sides given and angle to be found.). (8 points) Find the EXACT VALUE of the following. Show All Steps. Find reference angle if needed. Clearly show and label any reference triangle used. Simplify. No complex fractions allowed. No decimals allowed in process or solution. 1 cot C os = 5

3 MULTIPLE CHOICE CIRCLE the letter of the correct answer. (5 points each no partial credit) 4. An object attached to a coiled spring is from its rest moving down a distance of 9 mm. Assume the motion is simple harmonic with 1 oscillation per second. The equation that relates the displacement d of the object from (a) its rest position after t seconds is: t d 9 sin t (b) d 9 cos t (c) d 9 sin (d) d t 9 cos (e) d t 9sin (f) d t 9cos (g) d 9 sin 1 t (h) d 9 cos 1 t (i) None of these. 5. The EXACT VALUE of Sin tan 4 1 is (a) (b) 4 (c) 1 (d) (e) (f) 4 (g) None of these. 1. The EXACT VALUE(S) of Tan is (are): (a) (b) (c) (d) 5 (e) 5 (f) 11 (g) and (h) and (i) No solution The EXACT VALUE of Cos cos is (a) (b) (c) (d) (e) 4 (f) 5 (g) No solution. 8. Triangles ABC and PQR are similar. The length of side b is: (a) 80 (b) 9 (c) 7.9 (d) (e). (f) 1 (g) None of these.

4 9. (1 points) A runner begins at the starting line and proceeds in the direction N7 W for.5 km until she reaches a refueling point. She then turns 90 southward, running.5 km to the finish line. What is the bearing from the starting line to the finish line? (Show all mathematical work. Draw a fully labeled illustration, showing given bearing and sides and the bearing to be found.) Provide 0.1 decimal place accuracy on solution. BEARING: 10. (7 points) Find the EXACT VALUE of the following. Show All work and/or write mathematical explanation. Find reference angle if needed. Simplify. No complex fractions allowed. No decimals allowed in process or solution. 1 1 C os cos = 4

5 11. (1 points) Find ALL solutions for θ, in radian measure. Find EXACT VALUES; otherwise provide at least accuracy. Show all work including reference angle. a. 5 cos Reference angle = 7 b. 5 sin sin tan 0 Reference Angle = 5

6 1. (1 points) Find solutions for θ, in radian measure, in [0, π). Find EXACT VALUES; otherwise provide at least accuracy. Show all work including reference angle. a. cot csc Reference Angle = b. sec (5 )

MATH 114 FALL 2014 EXAM #1 SAMPLE

MATH 114 FALL 2014 EXAM #1 SAMPLE DO NOT BEGIN THIS TEST UNTIL YOU ARE TOLD TO DO SO. You will have 50 minutes from this time to finish the test. 1) You will need a pencil or pen, one calculator and this exam paper. Please clear everything