MATH 101 Study Guide - Quiz Guide: European Route E18, Scilab, Junkers J.I
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A calculator-ready answer is acceptable: 2 marks evaluate the following integral, leaving your answer in calculator-ready form. log x x dx. (cid:90) 9. Very short answer question: 1 mark find the average value of f (x) = sin(7x) over the interval /2 x /2. We now observe that sin(7x) is an odd function, and hence the integral over the symmetric interval [ . Marking scheme: 1 for a correct answer in the box, either by integrating or by observing that sin(7x) is an odd function. Short answer questions you must show your work: 2 marks an 11-meter-long cable of mass 6 kg is used to lift a bucket o the ground. So, at height y, the cable is subject to a downward gravitational force of 6(cid:0)1 y to raise the cable we need to apply a compensating upward force of 6(cid:0)1 y work required is(cid:90) 11. 0 (cid:17) 9. 8 dy = 6 (cid:16) (cid:12)(cid:12)(cid:12)(cid:12)11 (cid:17) 9. 8.
