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Spring 2008 Test 2 Solutions

# Spring 2008 Test 2 Solutions - APMA212 A PMA212 Test 2...

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APMA212 APMA212 - Test 2 Section: Name ::So-fu.,~ Directions: This test is four pages long,oot including the cover sheet. There are 11 problems. Space associated with each problem should be adequate for your computations - ifoot, use the back ofa page, clearly indicating the page nwnber. Circle your answers on all problems. Show your work on all problems and cirele your answers to obtain fuD credii. No Notes No Books No Calculators Good LuckJ! Write and sign the pledge: 1 2 3 4 TOTAL Wei2ht 24 28 22 26 100 Score Wednesday, March 19, 2008 1

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...g2008 APMA211 2 1. (6 pts) Let !(x,Y) = 2XY 4. Evaluate -lim !(x,y), ifit exists, or x + y (x,y)~(O,O) show that the limit does not exist. 3. (10 pts) Find the equation ofthe tangent plane to the surface z = x 2 + 3xy .. - y2 at the point (1, 1, 3). J. -=- 2-2 +- 3 Y I J,~.c I, I ) -=- ~ -r 3 -=-- 6 t ~1-= 3~-2.~) 0- 1 (1)1)-::: 3-?= t .... '-3~S-(~-')-t-(~-J) j = s-:t of ~ - ~I Then use your answer above to find an approximate value ofthe function al~ X = 1.01 and y = 0.98. L
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Spring 2008 Test 2 Solutions - APMA212 A PMA212 Test 2...

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