Calculus I
Extra Homework Set 1
Marcus McGuff

Extra homework problems on Chapter 1 graphs

Give a possible equation for each of the following:
a. Cell[GraphicsData[PostScript, %!<br />%%Creator: Mathematica<br />%%AspectRatio: .61803 <br /> ... geCache -> {{{71.1875, 275.125}, {275.375, 149.875}} -> {-3.31863, 101.042, 0.0354677, 0.728736}}]     b. Cell[GraphicsData[PostScript, %!<br />%%Creator: Mathematica<br />%%AspectRatio: .61803 <br /> ... ngeCache -> {{{305.125, 485.125}, {287.188, 176.5}} -> {-19.2577, 9.53172, 0.0486222, 0.0786727}}]
c. Cell[GraphicsData[PostScript, %!<br />%%Creator: Mathematica<br />%%AspectRatio: .61803 <br /> ... eCache -> {{{71.1875, 266.688}, {423.188, 302.875}} -> {-4.93925, 12.0831, 0.0349793, 0.0539023}}]    d. Cell[GraphicsData[PostScript, %!<br />%%Creator: Mathematica<br />%%AspectRatio: .61803 <br /> ... ngeCache -> {{{294.188, 499.938}, {427.188, 300.562}} -> {-14.6303, 379.098, 0.0338242, 1.66115}}]
e. Cell[GraphicsData[PostScript, %!<br />%%Creator: Mathematica<br />%%AspectRatio: .61803 <br /> ... angeCache -> {{{71.1875, 259.25}, {549.812, 434.062}} -> {-5.74529, 129.25, 0.0287212, 0.347448}}]   f. Cell[GraphicsData[PostScript, %!<br />%%Creator: Mathematica<br />%%AspectRatio: .61803 <br /> ... ngeCache -> {{{289.188, 488.75}, {554.875, 432.125}} -> {-3.77521, 47.1734, 0.0121202, 0.112062}}]

Solutions

a . y - 50 = -20 sin(π x) b . y = -4 cos((2π)/3 (x - 2))
c . y - 2 = -2 (x - 1)^2 d . y = -x^2 (x - 2) (x + 1) (x + 4)^2
e . y = -x (x - 1) (x + 2)^2 (x + 3) f . y = 3 (2^x)

Created by Mathematica  (September 7, 2004)