GENTLY REMOVE THIS PAGE Note that it WILL be collected with your test MATH 2070 Formula Sheet for Test 2 When you are asked to show work or the notation that leads to your answer be sure to write the notation with specific parameter values and function names for that problem No credit will be given for simply copying a formula from this sheet or for using a function location Y1 instead of a function name Correct mathematical notation D p dp VS Incorrect examples 17 25 5 p max p 0 D p dp OR Y dp 1 17 25 5 Average value of f from a to b b a f x dx b a Future Value F T R t e r T t dt T 0 Present Value P T R t e dt rt Present Value P T T 0 Consumer Expenditure p q 0 0 Consumer Surplus D p dp F T rT e p max p 0 p 0 S p dp p s Producer Revenue p q 0 0 Producer Surplus Consumer Willingness and Ability to Spend p q 0 0 D p dp Producer Willingness and Ability to Receive p q S p dp 0 0 p max p 0 p 0 p s Total Social Gain S p dp D p dp p p s p max p Price Elasticity of Demand p p D p D p This page WILL be collected with your test but any work or answers written here will NOT be graded MATH 2070 Spring 2019 Name PRINT KEY Test 2 Sections 5 7 5 8 6 1 6 4 Version A Section Instructor DO NOT OPEN THIS EXAM UNTIL INSTRUCTED TO DO SO is in the testing the student in your bag or Statement of Academic Integrity Any communications with any person other than the instructor or the designated proctor during this test in any form including but not limited to written signed verbal or digital is understood to be a violation of academic integrity All devices including but not limited to computers cell phones and smart watches must be turned off while room All watches must be removed from your wrist and placed in your pocket The only calculators to be used are TI 83 TI 84 TI 83 TI 84 or TI 84 CE No exceptions may be made You may not borrow or share a calculator with another person taking this test The test is closed notes and closed book No outside resources may be on your desk at any time during the testing period As a rule no questions are answered during the test It is very disruptive to other students If you believe a question is incorrectly written you may write a note to that effect but do try to give the best answer you can Your proctor will not interpret any question for you By signing below the student acknowledges that s he has read and understands these testing conditions In addition the student acknowledges that s he has neither given nor received any inappropriate or unauthorized information at any time before or during this test Student Signature This table is for instructor use only Page Question Points Possible Points Earned 3 5 6 3 6 3 6 3 3 4 4 3 8 2 1 6 7 8 9 1a 1b 1c 2a 2b 3a 3b 4a 4b 4c 4d 5a 5b 5c Scantron Free Response includes scantron Multiple Choice Total 60 40 100 Page 1 of 10 MATH 2070 Spring 2019 GENERAL DIRECTIONS KEY Test 2 Sections 5 7 5 8 6 1 6 4 Version A Show work where possible Answers without supporting work where work is appropriate may receive little or no credit Work in pencil only Do not round intermediate calculations Answers in context ALWAYS require units Round your answers to 3 decimal places UNLESS the answer needs to be rounded differently to make sense in the context of the problem OR the directions specify another type rounding OR the complete answer has less than 3 decimal places When you are asked to show the mathematical notation that leads to your answer be as instead of specific as possbile and do not use calculator notation i e Write f b f a 2 f 3 2 3 f or 1 Y Y 1 When you are asked to write a model include all components of a model an equation a description of the output including units a description of the input including units and the input interval when known When asked to write a sentence of interpretation answer the questions When What How and How much using ordinary conversational language Do not use math words terms jargon or unnecessary phrases Always use a ruler when estimating values off of a graph HINTS FOR TROUBLESHOOTING YOUR CALCULATOR If you lose your L1 L2 etc you may reinsert them using STAT 5 set up editor enter The SCATTER PLOT will not show unless PLOT 1 has been turned on and there is data in L1 and L2 Turn off on scatter plots by using the arrows to highlight the item you want off on and using the enter key to change the status DIM MISMATCH error usually means that the lists in L1 and L2 are not of equal length DATA TYPE error usually means that you already have something in Y1 and you need to clear it before you can paste a new equation INVALID DIM error usually means that your plot s are on but that you have no data in the lists Refer to the second hint above If your batteries die raise your hand and hold up your calculator If your instructor has an extra calculator available he she will loan it to you for a few minutes An unexpected 0 value when integrating an improper integral involving an exponential function may mean that you have increased the bounds beyond what the calculator can compute Try smaller bounds NO SIGN CHANGE error usually means you are attempting to solve an equation that has no solution SINGULAR MATRIX error usually means you are attempting to invert a matrix that is not invertible Check your matrix entries for errors It is recommended that you enter all single variable functions in your calculator in terms of x The use of other variables may make calculations more difficult and will prohibit the use of the graphing capabilities of your calculator Page 2 of 10 KEY Test 2 Sections 5 7 5 8 6 1 6 4 MATH 2070 Spring 2019 Version A Multiple Choice Use a 2 pencil and completely fill in each bubble on your scantron to indicate the answer to each question Each question has one correct answer If you indicate more than one answer or leave a blank the question will be marked as incorrect In this section there are 14 multiple choice questions worth a total of 40 points Each question is worth 3 points unless otherwise noted For future reference circle your answers on this test paper as you will not receive your Scantron back with your test A corporation …