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Problem 7: (10 points) Recall that string that contains only 0 $, 1's, and 2 s is called ternary string: (For example. 01122012 is ternary string of length 8) Let G, denote the number of ternary strings of length that do not contain two consecutive 0 s_ Find the values of & and 01. Find recurrence relation for the sequence {an}nzo: (iii) Solve the recurrence relation that you have obtained in to find the closed form of an. ## Answers #### Similar Solved Questions 5 answers ##### 3. Let f(z.y) = IOO(y 2)2+(1-1)2 This is the famed banana funetion (see wikipedia) . The minimum of f is (1,1) (why?) Starting at the point (4,4) use a fixed step size to locate the minimum Here; since we are minimizing; YOur direction should be d) CV f(6)) How many iterations before YOu find the minimm? Starting at the point (4, 4) use steepest descent with back- tracking to find" the minimum;_ How many iterations be- fore YOu find the mininum? Use the R function nlm to find the minimm sta 3. Let f(z.y) = IOO(y 2)2+(1-1)2 This is the famed banana funetion (see wikipedia) . The minimum of f is (1,1) (why?) Starting at the point (4,4) use a fixed step size to locate the minimum Here; since we are minimizing; YOur direction should be d) CV f(6)) How many iterations before YOu find the mi... 5 answers ##### What is the pressure (in atm) of 0.0255 moles of gas if it has a volume of 105.2 mL at a temperature of 45 "C? Hint: R = 0.08206 (Lratm)/(mol-K) What is the pressure (in atm) of 0.0255 moles of gas if it has a volume of 105.2 mL at a temperature of 45 "C? Hint: R = 0.08206 (Lratm)/(mol-K)... 4 answers ##### *Chapter 10, Section 10.3, Problem 031 An insurance company wants to know if the average speed at which men drive cars is higher than that of women drivers_ The company took random sampl of 26 cars driven by men on highway and found the mean speed to be 71 miles per hour with standard deviation of 1.95 miles per hour; Another sample of 16 cars driven by women on the same highway gave mean speed of 68 miles per hour with standard deviation of 2.35 miles per hour Assume that the speeds at which al *Chapter 10, Section 10.3, Problem 031 An insurance company wants to know if the average speed at which men drive cars is higher than that of women drivers_ The company took random sampl of 26 cars driven by men on highway and found the mean speed to be 71 miles per hour with standard deviation of 1... 5 answers ##### 2, y =sin x > cos % 0 <<4#/* abouty = -1by eci-J = 0, > ~cos'g, ~m/2 <* < #/2 (a) About the x-axis (6) About y 2, y =sin x > cos % 0 <<4#/* abouty = -1 by eci- J = 0, > ~cos'g, ~m/2 <* < #/2 (a) About the x-axis (6) About y... 5 answers ##### Answer TRUE or FALSE(8 points)a) Ifa series converges absolutely, then it converges: b) If a series converges by the alternating series test, then it converges absolutely: c) The ratio test for absolute convergence is sometimes inconclusive: d) If the limit of the nth term of a series is zero, then the series must converge e) Ifthe series Xm-1 Gn converges, then the seriesCo-1 2an also converges Suppose the seriesEm-1 Gn diverges, and b; 2 G for every term of the series, then the Ea-1 bn also d Answer TRUE or FALSE (8 points) a) Ifa series converges absolutely, then it converges: b) If a series converges by the alternating series test, then it converges absolutely: c) The ratio test for absolute convergence is sometimes inconclusive: d) If the limit of the nth term of a series is zero, the... 5 answers ##### [6 points] List the conditions for f (x) to be continuous at x = a[6 points] Use the conditions to check following statements true or false: If a function is continuous at x =a then If a function does not have a limit at has a limit at 1=0 x=a,itis still possible to have left or/and limits at x =aIf a function is discontinuous atx = a then it is undefined at x = aIf a function is undefined at x = 4 , then it does not have limit at x =a.If a function is continuous at x = 4, then If a functions ha [6 points] List the conditions for f (x) to be continuous at x = a [6 points] Use the conditions to check following statements true or false: If a function is continuous at x =a then If a function does not have a limit at has a limit at 1=0 x=a,itis still possible to have left or/and limits at x =a ... 5 answers ##### Let's investigate a curve that has an infinite length yet having finite area: Consider a sequence of curves generated by starting with an equilateral triangle whose side has a length of 1 (stage 1} Successive stages (stages 2,3,4,-progress by:Stepl: Divide each side into three equal partsStep2: Draw an equilateral triangle on each middle part:Step3: Divide each outer side into thirds_Step4: Draw an equilateral triangle on each middle part(a) Find the length Ln of the n-th stage(b) Show that Let's investigate a curve that has an infinite length yet having finite area: Consider a sequence of curves generated by starting with an equilateral triangle whose side has a length of 1 (stage 1} Successive stages (stages 2,3,4,-progress by: Stepl: Divide each side into three equal parts Step... 5 answers ##### I Utta ! 1 11331 Acl uliug > uneIiin oirl umd tstccn #WuI i Utta ! 1 1 1 331 Acl uliug > uneIiin oirl umd tstccn #WuI... 5 answers ##### Y1 Polnts]DETAILSPREVIOUS ANSWERSFind M,' and (x, Y) for the laminas o unlform density bounded by the graphs of the equations Y = Vx,y = 0,* = 1616p48(y) =Nead Help?peoa Kceden[-/1 Polnts]DETAILSFlnd MandY) for the lamlnas of uniform density bounded by the graphs of thc equatlons Y1 Polnts] DETAILS PREVIOUS ANSWERS Find M,' and (x, Y) for the laminas o unlform density bounded by the graphs of the equations Y = Vx,y = 0,* = 16 16p 48 (y) = Nead Help? peoa K ceden [-/1 Polnts] DETAILS Flnd M and Y) for the lamlnas of uniform density bounded by the graphs of thc equatlons... 5 answers ##### Magnetic force of 230 N acts Onl a positively charged object when it moves north with a speed of 120 m_ in a field of strength 0.73 T directed 40 north of east. Calculate its charge. point) 6.236 B. 1.444â‚¬ C. 3.427 â‚¬C D. 4.907 C E. 2.519 â‚¬ magnetic force of 230 N acts Onl a positively charged object when it moves north with a speed of 120 m_ in a field of strength 0.73 T directed 40 north of east. Calculate its charge. point) 6.236 B. 1.444â‚¬ C. 3.427 â‚¬C D. 4.907 C E. 2.519 â‚¬... 5 answers ##### Nl? . 3" (F1)" (2n + 1)1Apply the ratio test toPart 1: Evaluate the LimitEvaluateOntl limPart 2: Conclusionn2 The series '(F1)" (2n + 1)! nl? . 3" (F1)" (2n + 1)1 Apply the ratio test to Part 1: Evaluate the Limit Evaluate Ontl lim Part 2: Conclusion n2 The series '(F1)" (2n + 1)!... 5 answers ##### Write the complete electron configurations for the following elements. Also write the number of unpaired electrons and underline the valence electrons lithiumoxygencalciumtilanlumrubidiumphosphorouspolassium Write the complete electron configurations for the following elements. Also write the number of unpaired electrons and underline the valence electrons lithium oxygen calcium tilanlum rubidium phosphorous polassium... 5 answers ##### #1. (2 marks x5 10 total) The following statements all relate to this redox reaction, which occurs in acidic solution: Unbalanced: Fe?-(aq) Cr2Oz?-(aq) Fe?-(aq) Cri-(aq) Identify the following statements as true or false, AND give a reason why (a fewkey words)_ T / F The oxidation state of Cr in Cr2Oz2 anion is +VI:T / F The oxidizing agent is Fe?+ and the reducing agent is Cr2Oz2T / F In order for this reaction to happen , 3 electrons must be transferred in total.T / F In order for this reactio #1. (2 marks x5 10 total) The following statements all relate to this redox reaction, which occurs in acidic solution: Unbalanced: Fe?-(aq) Cr2Oz?-(aq) Fe?-(aq) Cri-(aq) Identify the following statements as true or false, AND give a reason why (a fewkey words)_ T / F The oxidation state of Cr in Cr2... 1 answers ##### Perform the indicated operation. $$-\frac{5}{4}\left(\frac{8}{15}\right)$$ Perform the indicated operation. $$-\frac{5}{4}\left(\frac{8}{15}\right)$$... 5 answers ##### Algebraically (not graphically) solve the following equation To receive full credit, you must showyour work:4.8 = loga.2 (62 + 2) Algebraically (not graphically) solve the following equation To receive full credit, you must showyour work: 4.8 = loga.2 (62 + 2)... 4 answers ##### 3_ The output of a radio signal detection system is a normal random variable N(p,1) with unknown mean /. Consider the binary simple hypotheses Ho pL = 0 VS Hi p = 0.34_A sample mean of 0.5 was obtained from n = 16 independent measurements_ At significance level 2.5%, find the rejection region of the Neyman- Pearson test and determine the outcome.Find the pvalue of the above test and determine the outcome_Find the probability of the Type II error of the test in part 3_ The output of a radio signal detection system is a normal random variable N(p,1) with unknown mean /. Consider the binary simple hypotheses Ho pL = 0 VS Hi p = 0.34_ A sample mean of 0.5 was obtained from n = 16 independent measurements_ At significance level 2.5%, find the rejection region of th... 5 answers ##### Whaut is ie: Ilt;sjor praxljci (f il:' fllaowviru; resi tichi?1) Mg2) L 3) HOHO_Ho whaut is ie: Ilt;sjor praxljci (f il:' fllaowviru; resi tichi? 1) Mg 2) L 3) HO HO_ Ho... 5 answers ##### Ues tionthc fllowing$ in Graph 3-spaccX=}Y= -12= -2x+yl-4 220 9+22 =4 X=0 (y-2)*+224,X2o Y= 3 / 23-1 xl+yl t22= 25 2= 3 2- JT-xyz
Ues tion thc fllowing \$ in Graph 3-spacc X=} Y= -1 2= -2 x+yl-4 220 9+22 =4 X=0 (y-2)*+224,X2o Y= 3 / 23-1 xl+yl t22= 25 2= 3 2- JT-xyz...