MATH 204 Lecture Notes - Lecture 12: National Order Of Quebec

× \.D stetics TT 111617. x v statics HW23 h.ttu.edu/webwork2/f1 /jopadgetm2450s002s008/HW10 13.1-13.3/13/ e for The Blue Sect. and @ Ecuation Sheets _ × \ Areas Formulae: ← clⓘNot secure y Weuw rK117jop × 1/2(1+1sin®3tp D statics producto x × x WeBWorK Logged in as angemadr Lug Cul MATHENATICAL ASSOCIATION OF AMERICA webwork f17jopadgetm2450s0023008 hw10_13.1-13.3 13 MAIN MENU Course5 Hamework Sets HW10 13.1-13.3 HW10 13.1-13.3: Problem 13 Problem 13 User 3ctlins Previous Problem List Next Grades Results for this submission Problems Entered Answer Prevlew Result 42.5 12.5 incorrect Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Prablem 7 Prablem a Problem 9 Prablem 10 Problem 11 Problem 12 Problem 13 Prablem 14 Prablem 15 Prablem 15 Prablem 17 The answer above is NOT correct (1 point) lf C is the curve given by r (t)-(1 + 5 sint) i + (1 + 4 sín2 t) j + (1 + 4 sins t) k. 0-t-뜰 and F is the radial vector field F (z,y, 2) . . 2:1 + 30 I ak. compute the work cone by F on a particle moving along C. Preview My Answers Submit Answers Your soore was recorded. You have attempted this problem 1 time You received a score of 0% for this attempt. Your overall recorded score is 0%. You have unlimited attempts remaining. Email instructor 12:58 PM O Type here to search ^筆症脈q: 11/24/2017

Mnct 60. fx)-3x3x 61, f(x) = x.(x-z? Applications of Differentiation 212 CHAPTER 3 Find all critial hunber 35. 40, g(θ)-48-tane 39. F(x)-x""(x-4): 41. f)-2 cos8 + sino 63. Between 0°C and 30°C, the volume V Gn of I kg of water at a temperature T is 43-44 A formala for the derivartive of a function f'is given. How many critical numbers does f have? V-999.87-0.06426T0.00850437 Find the temperature at which water has its m APTE - 6x + 10 64. An object with weight W is dragged along a h attached to the o by a force acting along a rope rope makes an angle θ with the plane, then the 45-56 Find the absolute maximum and absolute minimurn values the force is μ sin θ + cos θ of f on the given interval. 45. fx)-12+4x -. [0,S] 46. fix)-5+54x-2x. (0,4) 司f(x)-2x,-3x1-12x + 1, [-23] where μ is a positive constant called the coefficie and where 0 θ π/2. Show that F is minimize 65. The water level, measured in feet above mean sea l Lake Lanier in Georgia, USA, during 2012 can be im the function L()-0.01441,, 50. f)- 4). [-2,3] 51.)(02.4) 52. x)-+T -0.4177,2 + 2703t + 1060. where t is measured in months since January 1,201 when the water level was highest during 2012. 66. On May 7, 1992, the space shuttle Endeavour was laun on mission STS 49, the purpose of which was to install perigee kick motor in an Intelsat communications satellit The table gives the velocity data for the shuttle between l and the jettisoning of the solid rocket boosters. (a) Use a graphing calculator or computer to find the cubi S4. ft)- 0.2 pol ymomial that best models the velocity of the shuttle interval r e [o, 125). Then graph this polynom acceleration of the shuttle and usew ss fc)-2 cos+sin 2t, [o, -/2 56. f(t)-' + cot('/2), [π/4.7v/4] 57. If a and b are positive bumbers, find the maximum value 58. Use a graph ximum and minimum values of the to estimate the critical numbers of fx)-II+5xcorect i e decil place 59-62 (a) Use a graph to estimate the absolute (b) Use calculus to find the exact 0 maximurm and 0 185 319 447 values of the function to two decimal places. minimum maxirsum and minimum values 20 32

taotion First think geometric series 4. Use substitution in a known series to find the Maclaurin's Series for the following functions. Be sure to include the interval of convergence in your answer. (a) f(z) =- (b) f(z) = ln(1-H) (c) f(z) = sin(2x) (d) f(z)=ea-2 5. Use term-by-term differentiation or integration of a known series to find a power series rep- resentation for each of the following functions. Be sure to include the interval of convergence in your answer. (a) f(z)=2cos(2x) (b) f(z) (c) f(z)=arctan(3x) (d) f(x)-In(1 +2x) 6x5 (e) f(z) = (14 6. Express the given parameterizations in the form y- f(x) by eliminating the parameter. (c) r(t) = ln(t), y(t)-3t + 2 (a) z(t) = 3e, y(t) = 7c" + 1 (b) () 6+t1, (t) 32 7. Find parametric equations for the segment joining the points P(L, 2) and Q(8,-4). 8. Use the formula for the slope of the tangent line to find for the curves: i. c(t) = (5e,22-7) at t-1. ti. c(t) = (3e, 2t + 2e-t) at t = 0.