Math121SampleQuiz4

Math121SampleQuiz4 - Math 121 Name QUIZ#4(SAMPLE QUESTIONS...

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Math 121 Name: ________________________ QUIZ #4 (SAMPLE QUESTIONS) Show all work, simplify as appropriate, and use “good form and procedure” (as in class). Box in your final answers; write units where appropriate! No notes or books allowed. USE A SCIENTIFIC CALCULATOR! 1) Find the derivatives. Simplify where possible. (19 points total) a) Dx x ln 3 4 5 + () È Î Í ˘ ˚ ˙ (7 points) b) De x xx 3 4 2 + (4 points) c) Dxe x x 26 (6 points) d) x 8 (2 points)
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2) If fx x x () = ln , find ¢ fe . Do not approximate. (8 points) 3) Find the integrals. Simplify wherever possible. (33 points total) a) 41 0 7 3 xx d x -+ Ú (6 points) b) x x dx 4 4 3 + Ê Ë Á ˆ ¯ ˜ Ú (7 points) c) xd x + Ú 3 2 (7 points)
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d) ed x x - Ú 4 (3 points) e) 4 5 x dx Ú (4 points) f) 33 3 12 ++ -- () Ú ww d w (6 points) 4) A deposit of $4000 compounded continuously at 3% interest will grow to Vt e t = 4000 003 . dollars after t years. Find the rate of growth after 6 years. Round off to two decimal places and write units. (7 points)
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5) The population of Fredonia is given by Pt t t () =+ 2 4 , where t is the number of years from now. Find the relative rate of change of the population 10 years from
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Math121SampleQuiz4 - Math 121 Name QUIZ#4(SAMPLE QUESTIONS...

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