Mth 256 MidtermFall2006Name:Bent Petersen 256f2006-test.texDate: Nov xx 2006 Time: 50 min.• If a scantron is provided with this test then fill in your ID information on the scantron now.Also enter your name on this test in the space provided above. Do not fold, staple or tear,etc., the scantron. Return both the entire test and the scantron (separately). If a scantron isnot provided with this test, then ignore the scantron instructions, here and below.• This test consists of a number of multiple-choice problems and 1 work-out problem(s). Fill inthe answers to the multiple-choice problems in the boxes below and on the scantron (if one isprovided). Depending on your solution method your answer may appear in a different formfrom the ones provided on the test. You are expected to be able to provide the appropriatemanipulations to identify the correct answer.• Do all the work for the workout problem(s) on the test pages and be sure to return the entiretest. Failure to return everything will result in a substantial penalty.• You may use one 8.5 × 11 inch note sheet prepared in advance. You may write on both sidesof your note sheet. Note sheets may not be shared. If you do not bring a note sheet you willhave to do without any help notes. You may not use any books, notebooks, additional notesheets nor note cards.• You may use a simple scientific calculator or a modest graphics calculator on this test andyou are expected to have one available. An overly elaborate calculator, laptop, handheld ornotebook computer, or any device capable of extensive symbolic manipulation (other thanyour own brain) will not be allowed. Calculators and other equipment may not be shared.• During the test be sure to check the board occasionally for corrections. Note log(x) meansthe natural logarithm of x.• There are 8 multiple-choice problems worth 9 points each, 4 multiple-choice problems worth15 points each and 1 work-out problem(s) worth 25 points each. The total number of pointsis 157.Section 1. Multiple-choice problems: 8 problems, 9 points each.(MC problems)Section 2. Multiple-choice problems: 4 problems, 15 points each.(MC problems)Section 3. Work-out problem(s): 1 problem(s), 25 points each.(WO problems)Don’t get nervous! You may not need these integrals. The list has been created fromquestions asked on previous tests.Some useful integralsZtan(t) dt = log | sec(t) |Ztan2(t) dt = tan(t) − tZtan3(t) dt =12tan2(t) − log | sec(t) |Zsec(t) dt = log | tan(t) + sec(t) |Zt sin(t) dt = sin(t) − t cos(t)Zt cos(t) dt = cos(t) + t