MATH 124 Study Guide - Final Guide: Radian
1 Oct 2018
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Math 124 Final Examination Winter 2013
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!!! READ...INSTRUCTIONS...READ !!!
1. Your exam contains 8 questions and 10 pages; PLEASE MAKE SURE YOU HAVE A COM-
PLETE EXAM.
2. The entire exam is worth 100 points. Point values for problems vary and these are clearly
indicated. You have 2 hours and 50 minutes for this final exam.
3. Make sure to ALWAYS SHOW YOUR WORK; you will not receive any partial credit unless
all work is clearly shown. If in doubt, ask for clarification.
4. There is plenty of space on the exam to do your work. If you need extra space, use the back
pages of the exam and clearly indicate this.
5. You are allowed one 8.5×11 sheet of handwritten notes (both sides). Scientific calculators are
allowed. No calculators with graphing, symbolic or calculus capabilities are allowed. Make
sure your calculator is in radian mode.
Problem Total Points Score
115
210
312
412
Problem Total Points Score
512
612
715
812
Total 100
1
1. (15 Points) Find the derivatives of the following functions. You do not have to sim-
plify. Your final answers must give the derivative in terms of x.
(a) f(x)=5x2+2x−1
ex
(b) f(x)=cos!ex3+π"−arctan #x2$
(c) f(x)=6
√x+x√6+√x√x
2
2. (10 Points) Find the equations of the tangent line and the normal line to the curve
x2+6xy +y2=17
at the point P(1,2).ThenormallinetoacurveatthepointPis perpendicular to the
tangent line at the point P.
3
Document Summary
Readinstructionsread !: your exam contains 8 questions and 10 pages; please make sure you have a com- Plete exam: the entire exam is worth 100 points. Point values for problems vary and these are clearly indicated. You have 2 hours and 50 minutes for this nal exam: make sure to always show your work; you will not receive any partial credit unless all work is clearly shown. If in doubt, ask for clari cation: there is plenty of space on the exam to do your work. If you need extra space, use the back pages of the exam and clearly indicate this: you are allowed one 8. 5 11 sheet of handwritten notes (both sides). No calculators with graphing, symbolic or calculus capabilities are allowed. Make sure your calculator is in radian mode. 1: (15 points) find the derivatives of the following functions. Your nal answers must give the derivative in terms of x. (a) f (x) =
