WeBWorK assignment number 231reviewfor232studentsisdue01/13/2012at12 :00pmEST.Every problem on this assignment is something from Math231 that I will assume that you are familiar with in Math 232.Do your best and do not worry if WebWork won’t recognizeyour answer on a particular problem. Just focus on understand-ing how to do problems such as these. Your quiz on Friday willbe based on one or more of these problems.You can use the Feedback button on each problem page tosend e-mail to the professors.Give 4 or 5 significant digits for (floating point) nu-merical answers. For most problems when entering nu-merical answers, you can if you wish enter elementaryexpressions such as 23insteado f 8,sin(3pi/2)insteado f −1,e(ln(2))insteado f 2,(2 + tan(3)) ∗ (4 − sin(5))6−7/8insteado f 27620.3413,etc.Here’s the list of the functions which WeBWorK under-stands.1. (1 pt) TaalmanProblems/set1.1/p1.1.28.pgFind the domain of the following function.f (x)=√x2−1√x2−9(Use interval notation, with ”inf” for infinity and ”U” forunion, if needed.)Answer(s) submitted:•(incorrect)2. (1 pt) TaalmanProblems/set1.6/p1.6 1.34.pga) Complete the entries in the table below so that the functiondescribed by the table is EVEN.x -3 -2 -1 1 2 3f(x) -3 5 4b) Complete the entries in the table below so that the functiondescribed by the table is ODD.x -3 -2 -1 0 1 2 3f(x) -3 5 4Answer(s) submitted:•••••••(incorrect)3. (1 pt) TaalmanProblems/set1.7/p1.7.8and9.pgGiven that f is an invertible function, fill in the blanks.If (2,9) is on the graph of f , then is on the graph off−1.If is on the graph of f , then (−3,9) is on the graphof f−1.Answer(s) submitted:••(incorrect)4. (1 pt) TaalmanProblems/set2.7/p2.7.50.pgFind the intervals on whichf (x )=(x + 4)(x −1)7x + 8is positive and the intervals on which f is negative. Expressyour answers in interval notation.f is positive on .f is negative on .Answer(s) submitted:••(incorrect)5. (1 pt) TaalmanProblems/set4.1/p4.1.32and34and36.pgFind the domains of the following functions.f (x )=(3 + x)−3g(x)=(3 + x)32h(x)=5√3 + xAnswer(s) submitted:•••(incorrect)6. (1 pt) TaalmanProblems/set5.4/problem2.pgFind the global maximum value and the global minimumvalue for the function f (x)=2x3+ 21x2+ 72x + 6 on [−6, −1].If an extreme value does not exist, type NONE as your answer.Global maximum value of f :occurring at x-value(s):Global minimum value of f :occurring at x-value(s):Answer(s) submitted:••••(incorrect)17. (1 pt) TaalmanProblems/set5.4/problem4.pgA landowner needs to enclose a rectangular space with totalarea of 775 sq. ft immediately next to a river. If the river doesnot require any fencing along that edge, what is the least amountof fencing necessary to enclose this area?Total fencing: (ft)Length parallel to river: (ft)Length perpendicular to river: (ft)Answer(s) submitted:•••(incorrect)8. (1 pt) TaalmanProblems/set6.1/p6.1.55.pgUse polynomial long division to writef (x )=x5−20x2−4x + 1as the sum of a polynomial and a proper rational function.f (x )= +�Answer(s) submitted:•••(incorrect)9. (1 pt) TaalmanProblems/set6.2/p6.2.32and34and36.pgCalculate the following limits. If a limit does not exist, enter”DNE.”limx→−∞6 −x6x4+ 2x + 3=limx→∞x4−59x + 113x5+ 18=limx→∞(3x + 7)(−8x + 5)(6x −3)(1x + 6)=Answer(s) submitted:•••(incorrect)10. (1 pt) TaalmanProblems/set6.2/p6.2.51.pgFind all roots, holes, and any asymptotes (vertical, horizontal,slant, or curve) off (x )=(x + 7)(x −4)2(x −4)(x + 1).If the function has more than one of an attribute, enter youranswer as a comma-separated list. If the function does not haveone of the attributes, enter ”None.”Roots: x =Holes: x =Vertical Asymptotes: x =Horizontal/Slant/Curve Asymptote: y =What type of asymptote do you have above?• A. slant asymptote• B. curve asymptote• C. horizontal asymptote• D. none of the aboveAnswer(s) submitted:•••••(incorrect)11. (1 pt) TaalmanProblems/Set6.3/problem1.pgCompute the derivative of f (x)=2x2−4x+55x−3.f�(x)=Answer(s) submitted:•(incorrect)12. (1 pt) madisonLibrary/Algebra/AbsValue/abs value piecewise 002.pgRewrite the formula |2x + 9| as a piecewise function.Express your answer in the form of|2x + 9| =�A, x >≥cB, x <≤cwhereA = with x ? cB = with x ? cand c =Note: The pop-up menus are to choose whether x = c belongswith x > c or x < c, whichever interval did not involve changingthe sign.Answer(s) submitted:•••••(incorrect)13. (1 pt) madisonLibrary/Calc/Deriv Applications-/formula concavity 002.pgDetermine the concavity of the function f (x)=2x3−2x2+5x −7.Compute f��(x) =List the intervals where f is concave up and where it is con-cave down (comma-separated). Type NONE if there are nosuch intervals.Concave-up:Concave-down:2List the inflection points (x-values, comma-separated). TypeNONE if there are none.Inflection points:Answer(s) submitted:••••(incorrect)14. (1 pt) madisonLibrary/Calc/Deriv Applications-/formula incr decr 004.pgFind the first derivative of the function f (x)=2x3−3x2−72x −7.f�(x)=Use the derivative to determine intervals where f (x) has isincreasing or decreasing. For each, create a list of open inter-vals, separated by commas (not a union). If the list is empty,type NONE . Type INF for ∞.f (x ) is increasing on the intervals:f (x ) is decreasing on the intervals:Answer(s) submitted:•••(incorrect)15. (1 pt) madisonLibrary/Calc/Deriv Implicit/implicit diff 001.pgAssuming that y is a function of x, computeddx[5x3y]=Type Dy to representdydx.Answer(s) submitted:•(incorrect)16. (1 pt) madisonLibrary/Calc/Deriv Rules/chain rule 004.pgComputeddx[1√3x2−5x]=(Show the student hint after 2 attempts: )First, think about your function as a composition of1√x. Use thechain rule.Answer(s) submitted:•(incorrect)17. (1 pt) madisonLibrary/Calc/Deriv Rules/deriv product 003.pgCompute the derivative of f (x)=�2x2+ x + 1��5x −2x�.(Repeat this problem for additional practice.)f�(x)=Answer(s) submitted:•(incorrect)18. (1 pt) Library/270/setDerivatives5ChainRule/ur dr 5 20.pgLetf (x )=(−2x2+ 2)8(−5x2+ 7)15f�(x)=Answer(s) submitted:•(incorrect)19. (1 pt) Library/Indiana/Indiana setDerivatives20Antideriv-/c3s10p1.pgGivenf��(x)=6x + 5and f�(−1)=1 and f (−1)=−3.Find f�(x)=and find f (3)=Answer(s) submitted:••(incorrect)20. (1 pt) Library/Indiana/Indiana