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# A. $\operatorname{Let} \alpha: I \rightarrow R^{3}$ be a curve of class $C^{0}$ (cf. Exercise 7 ). Use the approximation by polygons described in Exercise 8 to give...

## Question

###### A. $\operatorname{Let} \alpha: I \rightarrow R^{3}$ be a curve of class $C^{0}$ (cf. Exercise 7 ). Use the approximation by polygons described in Exercise 8 to give a reasonable definition of arc length of $\alpha$ b. (A Nonrectifiable Curve.) The following example shows that, with any reasonable definition, the arc length of a $C^{0}$ curve in a closed interval may be unbounded. Let $\alpha:[0,1] \rightarrow R^{2}$ be given as $\alpha(t)=$ $(t, t \sin (\pi / t))$ if $t \neq 0,$ and $\alpha(0)=( a.$\operatorname{Let} \alpha: I \rightarrow R^{3}$be a curve of class$C^{0}$(cf. Exercise 7 ). Use the approximation by polygons described in Exercise 8 to give a reasonable definition of arc length of$\alpha$b. (A Nonrectifiable Curve.) The following example shows that, with any reasonable definition, the arc length of a$C^{0}$curve in a closed interval may be unbounded. Let$\alpha:[0,1] \rightarrow R^{2}$be given as$\alpha(t)=(t, t \sin (\pi / t))$if$t \neq 0,$and$\alpha(0)=(0,0) .$Show, geometrically, that the arc length of the portion of the curve corresponding to$1 /(n+1) \leqt \leq 1 / n$is at least$2 /\left(n+\frac{1}{2}\right) .$Use this to show that the length of the curve in the interval$1 / N \leq t \leq 1$is greater than$2 \sum_{n=1}^{N} 1 /(n+1)$and thus it tends to infinity as$N \rightarrow \infty$ ## Answers #### Similar Solved Questions 5 answers ##### UurquaticSedijian-pdlCISES FOR SFCTION 14 Ferkcs DX RulersHelhod I0 FItum Culm nzthu ~Iatt Hlrr Jep gncn iLal-vzke pbkm CXFt Ihe timc Eterval yecifidd Yotan5er' Jua AEEuAImalc YiLes ol Ilic dcprnkot variabk. 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It srk Juld inbok includo > 4cb UFr "Fratima : sclutkm ! - ] HOI 0<4_ 4... 5 answers ##### TJe - % Pu?01 LrMneerie Independentt WavtCuephte Lhe Wnni_lanai Fiand ynFind _ Gtond order CDE rhcar Ezzie {4"4 TJe - % Pu? 01 Lr Mneerie Independentt Wavt Cuephte Lhe Wnni_lanai Fiand yn Find _ Gtond order CDE rhcar Ezzie {4"4... 5 answers ##### 10.1 For each of the following values for # and n, compute 99% confidence interval for the population proportion # using both the standard large-sample procedure - and the WAC adjusted procedure_ Comment on whether the WAC adjustment was needed: n = 20,# 35 b: n = 35, # =80 c. n = 50,# = 34 n = 100,# .2 10.1 For each of the following values for # and n, compute 99% confidence interval for the population proportion # using both the standard large-sample procedure - and the WAC adjusted procedure_ Comment on whether the WAC adjustment was needed: n = 20,# 35 b: n = 35, # =80 c. n = 50,# = 34 n = 100,... 5 answers ##### Question 18wheelbarrow is pushed with force of 70 N while the frictional force is 20 N. What is the net work done if the wheelbarrow is moved 10 m?700 ]200 JSC0 )Question 195 ptsAO09aa Question 18 wheelbarrow is pushed with force of 70 N while the frictional force is 20 N. What is the net work done if the wheelbarrow is moved 10 m? 700 ] 200 J SC0 ) Question 19 5 pts AO 09 aa... 5 answers ##### W Draq the appropriatal labels W Draq the appropriatal labels... 4 answers ##### Point) Fit a quadratic function of the form f(t) = C + Gt + C2t? to the data points (0,~2), (1,~11), (2,-4), (3,-21), using least squaresf(t) point) Fit a quadratic function of the form f(t) = C + Gt + C2t? to the data points (0,~2), (1,~11), (2,-4), (3,-21), using least squares f(t)... 4 answers ##### HW7: ProblemPravous ProblamProblem ListIcr Problcmpolnt) Rework problem trom the Chapior mhnanyaxemeas toxt, Invoming the slzes subsats 0t= Inivc n(A' nB) - 18, n4' nB) 16,and n(A n B ) 14. Find the tollowing:Assume Inat n(U) = 55_(1n(A nB) [email protected](A UB) = HW7: Problem Pravous Problam Problem List Icr Problcm polnt) Rework problem trom the Chapior mhnanyaxemeas toxt, Invoming the slzes subsats 0t= Inivc n(A' nB) - 18, n4' nB) 16,and n(A n B ) 14. Find the tollowing: Assume Inat n(U) = 55_ (1n(A nB) = @n(A UB) =... 5 answers ##### Use the simplex method sotve the Iinear programming problem.Maximize z = 2x1 subjed to:with *1Select the correct choice below and; necessaty;Ihe answer box complele your cholco,0 A The maximum is when X1 and 53 0 B: There is no maximum solution this Iineat programming problem7*0 Use the simplex method sotve the Iinear programming problem. Maximize z = 2x1 subjed to: with *1 Select the correct choice below and; necessaty; Ihe answer box complele your cholco, 0 A The maximum is when X1 and 53 0 B: There is no maximum solution this Iineat programming problem 7*0... 5 answers ##### Question 9 (1 point)You create 60 95% confidence intervals, all of the same sample size, and independent from each other to estimate the true proportion: What is the probability that 54 or less of the confidence intervals contain the true proportion?Round your answer to the ten-thousandths decimal place: Question 9 (1 point) You create 60 95% confidence intervals, all of the same sample size, and independent from each other to estimate the true proportion: What is the probability that 54 or less of the confidence intervals contain the true proportion? 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What is the speed of the car at (a) point A, (b) point B, and (c) point C? (d) How high will the car go on the last hill, which is too high for it to cross? Use g=9.... 5 answers ##### 2. (30 marks) The projectile bullet, of mass m, with initial horizontal velocity Vo; is fired into large block (of wood or other material) of mass M, which is suspended like pendulum by soft cord of the length seen in figure 2(a). (Usually, M is somewhat greater than m.)_ (I) As result of the collision, the bullet gets embedded into the block, and they obtain common horizontal velocity v as indicated in figure 2(b). Determine the magnitude ofv (II) At the moment when the block and bullet get the 2. (30 marks) The projectile bullet, of mass m, with initial horizontal velocity Vo; is fired into large block (of wood or other material) of mass M, which is suspended like pendulum by soft cord of the length seen in figure 2(a). (Usually, M is somewhat greater than m.)_ (I) As result of the collis... 5 answers ##### 57 L of oxygen at 18 0C and an absolute pressureof 2.45 atm are compressed to 47 L. Immediately after, thetemperature is raised 200C. Calculate the newpressure. Hint: Treat oxygen as anideal gas. Express your answer inatm. 57 L of oxygen at 18 0C and an absolute pressure of 2.45 atm are compressed to 47 L. Immediately after, the temperature is raised 200C. Calculate the new pressure. Hint: Treat oxygen as an ideal gas. Express your answer in atm.... 5 answers ##### Find solution toUtt 4urr = 0, ult-o = 12 cos(x) , Utlt=0 = 8 sin(.) , ulx=t = 0,t> 0 x > t, x > 0, x > 0, t > 0_ Find solution to Utt 4urr = 0, ult-o = 12 cos(x) , Utlt=0 = 8 sin(.) , ulx=t = 0, t> 0 x > t, x > 0, x > 0, t > 0_... 3 answers ##### Consider the following time series data_Month2 3 4 5 6 7Value20 1120 12 20 22 14Round your answers to two decimal places_ Compute MSE using the most recent value as the forecast for the next period_ Mean squared error is What is the forecast for month 8?Compute MSE using the average of all data available as the forecast for the next period.Mean squared error isWhat is the forecast for month 8?c. Which method appears to provide the better forecast?Select your answer Consider the following time series data_ Month 2 3 4 5 6 7 Value 20 11 20 12 20 22 14 Round your answers to two decimal places_ Compute MSE using the most recent value as the forecast for the next period_ Mean squared error is What is the forecast for month 8? Compute MSE using the average of ... 5 answers ##### Car A is 270 m in front of car B at timet = 0. Car A is moving 21 m/s and car B is moving 32 m/s,both in the same direction. How long will it take for car B to catch car A? Car A is 270 m in front of car B at timet = 0. Car A is moving 21 m/s and car B is moving 32 m/s,both in the same direction. How long will it take for car B to catch car A?... 5 answers ##### (c) Decermine (at least approximarely) the interval In whlch the soluticn Is defined: (Enter your answer Using Interval notarion: Round Ycur answer Tour decimal Places_ 2309, 1.9106 (c) Decermine (at least approximarely) the interval In whlch the soluticn Is defined: (Enter your answer Using Interval notarion: Round Ycur answer Tour decimal Places_ 2309, 1.9106... 3 answers ##### Rustfuan InstituteBISY2002/ISY2002 /SYZTutona (4] pdtownloads Tutoria 1962049620(4)-pdfQuestion Adam; sitting in his Sua home ollice in Sydney, Australia Wants I0 access the Facebook" Web Server residing United States of America (USA ) Suppose that there inicmc orking devices between Adam and the Facebook Web Server. Answer the following questions considering the above scenario. (8 marks)Which application layer protocol will be used linal the IP address of the Facebook s Web Server? Which d Rustfuan Institute BISY2002/ISY2002 /SYZ Tutona (4] pdt ownloads Tutoria 1962049620(4)-pdf Question Adam; sitting in his Sua home ollice in Sydney, Australia Wants I0 access the Facebook" Web Server residing United States of America (USA ) Suppose that there inicmc orking devices between Adam a... 3 answers ##### Dean of a business schaol has fit a regression model pred ct college GPA based on a student$ SAT score (SAT_Score}; the percentile at whichthe student graduated high school (HS Percentile) (tor Instince graduating Ath In a class of 500 implles that 496 other students ara 3t below that student 50 the percentile is 496/500 991 andthe total college hours the student has accumulated (Total Hours} The regression results are shown beiow- SUMMARY OUTPUTRoqre32in Statstcs Multiple 53292259 Square 2840
dean of a business schaol has fit a regression model pred ct college GPA based on a student \$ SAT score (SAT_Score}; the percentile at whichthe student graduated high school (HS Percentile) (tor Instince graduating Ath In a class of 500 implles that 496 other students ara 3t below that student 50 t...

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