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UCSBMATH 599AllFall

MATH 5B UCSB 5B Fall 06 5BSampleFinal2

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Math 126, section f, summer 2011, midterm i. Instructions: you are allowed to use one page of notes in your own handwriting, graphing calculators are n
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UCSBMATH 599AllFall

MATH 5B UCSB 5B Fall 06 5BSampleFinal1

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Please read this first: print your name on each sheet, show all your work and put your final answer in the box. You will not receive any partial credit
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UCSBMATH 599AllFall

MATH 5B UCSB 5B Fall 06 5bFinalSolutions

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1. (a) find parametric equations for the line that passes through the point (2, 0, 1) and is perpendicular to the plane with equation 4x y 2z = 1. The
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UCSBMATH 599AllFall

MATH 5B UCSB 5B Fall 06 5bFinalReview

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Fall 2006: suppose u = cos x + y and v = sin y x. (u,v) is simply the inverse of the jacobian matrix cos y (cid:19). The determinant of this matrix is
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UCSBMATH 599AllFall

MATH 5A Final Exam

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UCSBMATH 599AllFall

MATH 5B UCSB 5B Fall 06 5BpMidterm s1

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Math 5b, midterm 1 review problems - solutions. The vector v = n1 n2 is orthogonal to both n1 and n2 by de nition, and so it is parallel to both planes
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UCSBMATH 599AllFall

MATH 5B UCSB 5B Fall 06 5BpMidterm 2s

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1. (a) convert the point (1, 1, 1) from rectangular to cylindrical coordinates. To convert to cylindrical coordinates, all we need to do is change the
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UCSBMATH 599AllFall

MATH 5B UCSB 5B Fall 06 5BpMidterm 2

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UCSBMATH 599AllFall

MATH 5B UCSB 5B Fall 06 5BpMidterm 1

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UCSBMATH 599AllFall

MATH 5B UCSB 5B Fall 06 5BMidterm 2topics

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UCSBMATH 599AllFall

MATH 5B UCSB 5B Fall 06 5BMidterm 2s

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UCSBMATH 599AllFall

MATH 5B UCSB 5B Fall 06 5BMidterm 1s

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Total 50: your exam should consist of this cover sheet, followed by 4 problems. Check that you have a complete exam: show all work and justify your ans
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