ࡱ> ,.)*+ U$bjbjWW @55U~~4%r$AAA%%%%%%%$ ')~?%A"AAA?%mT%###A %#A%###myK#%j%0%#<*Kd<*#<*#AA#AAAAA?%?% :AAA%AAAA<*AAAAAAAAA~ : TO: Next Years Calculus Students FROM: Miss Mardi (Nott), Calculus Teacher Attached is a summer homework packet, which will be due the first day of Calculus class in August. The material in the packet should be material you learned in Algebra II and Precalculus. You will turn in the packet the first day of Calculus class, and it will count as a daily grade. During the first week of school, you will take a test on the material in the packet. My recommendation is that you look over the problems in the packet when you receive it but that you wait until two weeks before school starts to work the problems so that you will remember the material very well when school starts. We will be using the TI-84 graphing calculator in Calculus. The price varies some so you should compare the prices at various places before purchasing one. You can buy a TI-84 at stores such as Target, Walmart, Best Buy, Office Depot, Office Max, and Staples, as well as from online sites like Amazon. You will be expected to have a TI-84 the first week of school. I am looking forward to seeing you in Calculus in August! AB students do: #1-55 BC students do: ALL CALCULUS SUMMER HOMEWORK This homework packet is due the first day of school. It will be turned in the first day of Calculus class and will count as a daily grade. You will take a test on the material in the packet during the third week of school. Work these problems on notebook paper. All work must be shown. Use your graphing calculator only on problems 44 - 55. Find the x- and y-intercepts and the domain and range, and sketch the graph. No calculator. 1.  EMBED Equation.DSMT4  2.  EMBED Equation.DSMT4  3.  EMBED Equation.DSMT4  4.  EMBED Equation.DSMT4  5.  EMBED Equation.DSMT4  6.  EMBED Equation.DSMT4  7.  EMBED Equation.DSMT4  8.  EMBED Equation.DSMT4  9.  EMBED Equation.DSMT4  10.  EMBED Equation.DSMT4  11.  EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4  ______________________________________________________________________________ Find the asymptotes (horizontal, vertical, and slant), symmetry, and intercepts, and sketch the graph. No calculator. 14.  EMBED Equation.DSMT4  15.  EMBED Equation.DSMT4  16.  EMBED Equation.DSMT4  17.  EMBED Equation.DSMT4  _____________________________________________________________________________________ Solve. No calculator. 18.  EMBED Equation.DSMT4  19.  EMBED Equation.DSMT4  20.  EMBED Equation.DSMT4  21.  EMBED Equation.DSMT4  _____________________________________________________________________________________ Evaluate. No calculator. 22.  EMBED Equation.DSMT4  23.  EMBED Equation.DSMT4  24.  EMBED Equation.DSMT4  25.  EMBED Equation.DSMT4  26.  EMBED Equation.DSMT4  27.  EMBED Equation.DSMT4  28.  EMBED Equation.DSMT4  29.  EMBED Equation.DSMT4  30.  EMBED Equation.DSMT4  ______________________________________________________________________________________ Evaluate. No calculator. 31.  EMBED Equation.DSMT4  32.  EMBED Equation.DSMT4  33.  EMBED Equation.DSMT4  34.  EMBED Equation.DSMT4  Solve. Give exact answers in radians,  EMBED Equation.DSMT4  No calculator. 35.  EMBED Equation.DSMT4  36.  EMBED Equation.DSMT4  37.  EMBED Equation.DSMT4  38.  EMBED Equation.DSMT4  39.  EMBED Equation.DSMT4  40.  EMBED Equation.DSMT4  41.  EMBED Equation.DSMT4  42.  EMBED Equation.DSMT4  43.  EMBED Equation.DSMT4  __________________________________________________________________________________________ Solve. Show all steps. Use your calculator, and give decimal answers correct to three decimal places. 44.  EMBED Equation.DSMT4  45.  EMBED Equation.DSMT4  46.  EMBED Equation.DSMT4  47.  EMBED Equation.DSMT4  58.  EMBED Equation.DSMT4  49.  EMBED Equation.DSMT4  50.  EMBED Equation.DSMT4  51.  EMBED Equation.DSMT4  52.  EMBED Equation.DSMT4  53. EMBED Equation.3  54. The number of students in a school infected with the flu t days after exposure is modeled by the function  EMBED Equation.DSMT4 . (a) How many students were infected after three days? (b) When will 100 students be infected? 55. Exponential growth is modeled by the function  EMBED Equation.DSMT4 . A culture contains 500 bacteria when t = 0. After an hour, the number of bacteria is 1200. (a) How many bacteria are there after four hours? (b) After how many hours will there be 8000 bacteria? __________________________________________________________________________________________ Use the figure to find the limit. No calculator. 56.  EMBED Equation.DSMT4  57.  EMBED Equation.DSMT4  58.  EMBED Equation.DSMT4  59.  EMBED Equation.DSMT4  60.  EMBED Equation.DSMT4  61.  EMBED Equation.DSMT4  __________________________________________________________________________________ Evaluate. Show supporting work for each problem (algebraic steps or sketch). No calculator. 62.  EMBED Equation.DSMT4  63.  EMBED Equation.DSMT4  64.  EMBED Equation.DSMT4  65.  EMBED Equation.DSMT4  66.  EMBED Equation.DSMT4  67.  EMBED Equation.DSMT4  TURN->>> Evaluate. Show supporting work for each problem (algebraic steps or sketch). No calculator. 68.  EMBED Equation.DSMT4  69.  EMBED Equation.DSMT4  70.  EMBED Equation.DSMT4  71.  EMBED Equation.DSMT4  72.  EMBED Equation.DSMT4  73.  EMBED Equation.DSMT4   EMBED Equation.DSMT4  (a) EMBED Equation.DSMT4  (b) EMBED Equation.DSMT4  (c)  EMBED Equation.DSMT4   EMBED Equation.DSMT4  (a)  EMBED Equation.DSMT4  (b)  EMBED Equation.DSMT4  __________________________________________________________________________________________ Use the definition of the derivative to find the derivative. No calculator.  EMBED Equation.DSMT4 . (You must know this formula.) 76.  EMBED Equation.DSMT4  77.  EMBED Equation.DSMT4  78.  EMBED Equation.DSMT4  79.  EMBED Equation.DSMT4  ________________________________________________________________________________________ Use the differentiation rules (power rule, product rule, quotient rule) to find the derivative. Do not leave negative exponents or complex fractions in your answers. No calculator. 80.  EMBED Equation.DSMT4  81.  EMBED Equation.DSMT4  82.  EMBED Equation.DSMT4  83.  EMBED Equation.DSMT4  84.  EMBED Equation.DSMT4  ________________________________________________________________________________________ 85. Given the function  EMBED Equation.DSMT4 . (a) Use the differentiation rules to find  EMBED Equation.DSMT4 . (b) Write the equation of the tangent line to f at (1, 5). 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