MATH 32A Midterm: Math 32A Exam 6

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7 Mar 2019
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The midterm will consist of ve questions and will test on material from sections 13. 6, 14. 2-14. 4 and 15. 1- Tools from single variable calculus will be needed to answer the ques- tions. You will also be expected to know the ba- sic rules of algebra for simplifying expressions and trigonometric identities. Also, a good geometric in- tuition can be helpful on some problems. You might need to draw a picture to answer some questions, but such pictures will be simple to draw. As much as possible the material will be indepen- dent from the rst midterm. In particular there will be no dot products, cross products or projection. Given a parametric curve (cid:0)x(t), y(t), z(t)(cid:1) we can associate it with a vector function in a natural way, i. e. , r(t) = (cid:10)x(t), y(t), z(t)(cid:11). = r (t) = lim h 0 r(t + h) r(t) h.