Math151Final

Math151Final - Math 151 Name: _ FINAL MATH 151 SPRING 2004...

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Math 151 Name: ________________________ FINAL MATH 151 – SPRING 2004 – KUNIYUKI 105 POINTS TOTAL, BUT 100 POINTS = 100% An appropriate sheet of notes and a scientific calculator are allowed. PART 1 45 POINTS TOTAL; 3 POINTS FOR EACH PROBLEM Give the best answers based on the notes and our discussions in class. 1) We would use a u -substitution to evaluate sin cos 45 xx d x Ú . What would be our choice for u ? 2) We could use a trig substitution to evaluate x x dx 3 2 93 6 + Ú . What would we use as our trig substitution? 3) We want to find 1 25 32 2 dx + () Ú using partial fractions. Write the form of the partial fraction decomposition for the integrand, 1 25 2 + . 4) Find lim cos x x x Æ - - p 2 2 . Write or -• if appropriate. If the limit does not exist, and and are inappropriate, write “DNE” (Does Not Exist). Show work!
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5) Which of the following are indeterminate limit forms? Circle all that apply: •+• •-• 0 6) Fill in the boxes (there is more than one possible way): 2 3 2 3 2 3 2 3 2 3 4 3 44 x dx x dx x dx x dx x dx - () = - + - = - + - ÚÚ Ú lim lim 7)
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This note was uploaded on 09/08/2011 for the course MATH 151 taught by Professor Bray during the Spring '07 term at Mesa CC.

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Math151Final - Math 151 Name: _ FINAL MATH 151 SPRING 2004...

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