Calculus (Answer Check)

88,900 results, page 62
  1. Biology Answer Check

    Which of the following describes the classification of humans? A. The genus Homo and the species sapiens B. The phyla Homo and the species sapiens C. The family sapiens and the genus Homo D. The class sapiens and the genus Homo i think its A Correct or
  2. History

    Hai! Anyone Please Check This Answer Please! Which of the following is the most likely reason why many Mexicans were opposed to American investment in their country? A. American leaders overthrew the successful government of Porfirio Díaz.* B. Many
  3. Government Check

    What is the primary claim made by those who oppose hate crimes legislation? a)There is no way to catch all perpetrators of hate crimes, so all perpetrators should be punished equally. =b)There is no way to determine the motivations behind a crime, so all
  4. biology please check answer

    1. Explain how the small intestine is specialized for digestion and absorption. The small intestine is specialized for absorption by the huge number of villi that line the intestinal wall. Villi have cells that produce intestinal enzymes which complete the
  5. Calculus

    The monthly demand function for a product sold by a monopoly is p = 3750 − 1/3x^2 dollars, and the average cost is C = 1000 + 70x + 3x^2 dollars. Production is limited to 1000 units and x is in hundreds of units. (a) Find the quantity that will give
  6. Calculus

    The monthly demand function for a product sold by a monopoly is p = 3750 − 1/3x^2 dollars, and the average cost is C = 1000 + 70x + 3x^2 dollars. Production is limited to 1000 units and x is in hundreds of units. (a) Find the quantity that will give
  7. ethnic class

    I need help in answering these questions. Please help me answer and get a good understanding as of why so i can keep reviewing for my final exam. The exam won't be till 3months from now but i truelly want to understand the concept of these answers of what
  8. MoRe HeLp PlEaSe!! (calc)

    Also can I get some help with this LONG, TIRESOME PROBLEM? Find the derivative using the chain rule. f(x)= ((3x-7)/(6x+3))^4 Thanks a lot! (68/(12x^2+12x+3))*[(3x-7)/(6x+3)]^3 you should double check the answer multiply 4((3x-7)/(6x+3))^3 by the derivative
  9. Chemistry

    Can someone just check this one for me? The neutralization reaction between Al(OH)3 and HNO3 produces a salt with the formula Al(NO3)3 + H2O Yes and no. It DOES produce a salt and that salt is Al(NO3)3 with the formula you have. However, the H2O, although
  10. Calculus

    Use a symbolic differentiation utility to find the derivative of the function g(x)=xã((x^2)+1). Use the utility to graph the function and is derivative on the same set of coordinate axes. Describe the behavior of the function that corresponds to any
  11. Spanish

    Can someone check my work? English: My cousin came over to play. We were running around the living room. My brother and cousin crashed into each other. And my brother cut the corner of his eye open. Spanish: Mi primo vino a casa jugar. Fuimos correr
  12. English

    Please check if my answer is correct... Identify the INCORRECTLY punctuated sentence. In softball, pitchers throw the ball underhand; in baseball, the ball is thrown overhand. • Ice hockey is played on a rink; but field hockey is played outdoors. •
  13. Finance Math

    Tristan Sandino was given a 20-year bond when he was twelve years old and would like to sell it on his 21st birthday. The bond has a coupon rate of 4.8% and was purchased for $580. Tristan receives interest checks every six months. If Tristan sells the
  14. city project

    my is elderly people things to start a presentation goes like this ............. 'cities needs to provide services to all residents but espially to eldery people' because there population increases in future! city need 55 plus buildings to live and
  15. Calculus

    Two trucks start from the same point. One truck travels due east at a rate of 50 mph and the other trucks travels due north at a rate of 60 mph. At what rate is the distance between the two vehicles increasing 1 1/2 hours later? I think the answer is 55
  16. Calculus

    Find the rectangle of largest area that can be inscribed in a semicircle of radius R, assuming that one side of the rectangle lies on the diameter of the semicircle. NOTE: Let L denote the length of the side that lies on the diameter and H denote the
  17. American National Government

    How does the other branches of government "check" the judicial branch in order to keep it from becoming too powerful? My answer is: The President puts forward the nomination for the judges and the Senate confirms them, this is considered to be a part of
  18. Social Studies

    Why are conflicts between the executive branch and legislative branches of a parliamentary system government unlikely to occur? A. parliament as a whole maintains strict oversight over the executive branch B. The executive branch is a part of the
  19. Social Studies

    Why are conflicts between the executive branch and legislative branches of a parliamentary system government unlikely to occur? A. parliament as a whole maintains strict oversight over the executive branch B. The executive branch is a part of the
  20. Grammar

    Can someone please help me check these for me.And help me correct them the correct way. I'LL APPRECIATED YOUR HELP :) I have to rewrite the sentences under the grammar rule of "Punctuating Sentences" if they need no change i have to write no change. (1)
  21. computers (Check)

    Will someone please check my C++ for me? 1. What does the Load ( ) method do? Gets data from a file and puts it into a DataSet object. <----- Gives a value to an attribute of an XmlElement object. Deletes all the data in a DataSet object. Tells a form
  22. Calculus

    A small aircraft starts its descent from an altitude of 1 mile, 4 miles west of the runway. a) Find the cubic f(x) = ax3 + bx2 + cx + d on the interval [-4,0] that describes a smooth glide path for the landing. b) If the glide path of the plane is
  23. algebra

    There are 50 questions to answer in a triva contest. Each player starts with 100 points. He or she earns ten points for each correct answer but will lose four points for each incorrect answer. Each player must answer all 50 questions. What is the fewest
  24. Calculus

    I did an experiment where I had to measure how fast water flowed out of a container at different times and with different volumes. I also had to record the values into a table and graph them. (I got an exponential function). I am to answer the following
  25. math (please check answer)

    6. Food Express is running a special promotion in which customers can win a free gallon of milk with their food purchase if there is a star on their receipt. So far, 147 of the first 156 customers have not received a star on their receipts. What is
  26. Geometry check my answer?

    The diameter of a car tire is approximately 0.6meters. The warranty is good for 70,000 km. About how many revolutions will the tire make before the warranty is up? More than a million? a billion? ----------------------- my work c=pi*d c=3.14*0.6 c=1.884
  27. Damon check step by step

    25g of a sample of ferrous sulphate was dissolved in water containing dilute h2s04 and the volume made up to one litre. 25ml of this solution required 20ml of N/10 kmn04 solution for complete oxidation. Calculate the percentage of f2s047h20 in the sample
  28. algebra

    5x-2y=-5 y-5x=3 substitution Substitute 5x +3 for y in the first equation, then solve it for x. Substitute 5x +3 for y in the first equation, then solve it for x. When I subsitute 5x+3 into the equation I get x=1/5 and y=2 is this correct? You are close!
  29. Math

    What is the sum of 5/6 + 2/3? My answer is 1 1/2. Cody has 6 1/2 boxes of candy to share at a picnic. If he gives each person 1/3 of a box, how many people can receive candy? My answer is 19. Which of these are not rational? a.3 squared. b.1/5 c.9 squared
  30. physics

    Vector V represents a displacement of 120 km at 29.0 degrees counterclockwise from the x axis. Write V in unit vector notation. Express your answer using three significant figures. V= _______ km i know the answer should be Vx=120cos29 and Vy=120sin29 but
  31. physics

    A flask has a mass of 78.23 g when empty and 593.63 g when filled with water. When the same flask is filled with concentrated sulfuric acid, H2SO4, its mass is 1026.57 g. What is the density of concentrated sulfuric acid? (Assume water has a density of
  32. chemistry

    A flask has a mass of 78.23 g when empty and 593.63 g when filled with water. When the same flask is filled with concentrated sulfuric acid, H2SO4, its mass is 1026.57 g. What is the density of concentrated sulfuric acid? (Assume water has a density of
  33. pre-calculus

    While pulling a stalled car, a tow truck's cable makes an angle of 50 degrees above the road. If the tension on the tow truck's cable is 1600 newtons, how much work is done by the truck on the car pulling it 1.5 kilometers down the road? The answer is
  34. Math

    Jean deposited a check for $625, wrote two for $68.74 and $29.95 and used her debit card to pay for a purchase of $57.65. How has her account balance changed? I am a little lost, I understand the deposit BUT from what I understand she wrote 2 check in the
  35. Physics

    while surveying a cave, a spelunker follows a passge 180m straight west, then 210 m in a direction 45 degrees east of south and then 280m at 30.0 degrees east of north. After a fourth unmeasured displacement, she finds herself back where she started. Use
  36. Math ?

    I started a new math class today and I'm stuck on a problem from my worksheet. I need help with these questions. If the measure of an exterior angle drawn at vertex M of triangle LMN is x, then mangleL + mangleN is what? What is the area of a circle with
  37. College Algebra

    If 24% of your monthly pay is withheld for federal income taxes and another 6% is withheld for Social Security, state income tax, and other miscellaneous items, leaving you with $989.50 a month in take-home pay, then the amount you earned before the
  38. American Gov.

    In holt vs hobbs what did the supreme court use as a basis for its decision? a. Holt was not a member of a recognized religion. b. the government was preventing Holt from practicing his religion. c. The prison had a compelling interest in facilitating
  39. i need help,math

    okay i am completely lost after reviewing everything my mind is blank cans some one help me with the steps. Solve by completing the square x^2=5x+2 1st: You need to bring the 5x+2 to the other side so you have x^2-5x-2 2nd: Find the values to where when
  40. College Algebra

    If 24% of your monthly pay is withheld for federal income taxes and another 6% is withheld for Social Security, state income tax, and other miscellaneous items, leaving you with $989.50 a month in take-home pay, then the amount you earned before the
  41. College Algebra

    If 24% of your monthly pay is withheld for federal income taxes and another 6% is withheld for Social Security, state income tax, and other miscellaneous items, leaving you with $989.50 a month in take-home pay, then the amount you earned before the
  42. Pre-Calculus

    Hello! Can someone check and see if these answers are correct? Thanks! 1.) If a line with slope of 1/2 is perpendicular to another line, then the slope of the other line is -2. TRUE or FALSE? (I choose True) 2.) If Segment QR || Segment TU and the slope of
  43. science PLEASE CHECK MY ANSWERS

    1. why is it rare for the soft parts of an organism to become a fossil a. the soft parts take a long time to decay. b. the soft parts can be eaten by other animas. c. The soft parts cannot be buried in sediment.>>>my answer d. the soft parts from
  44. dog behavior

    Please check my answer thanks so much :) During a controlled walking exercise, how can you keep a dog from pulling on the leash? A. Wait until the leash just gets taut and then gently pull the dog back to you. B. Use a shorter leash for this exercise. C.
  45. Health of young children

    Why is the incubation stage of an illness of concern to day care workers? A.Children in this stage require a great deal of care and special attention. B.Children in this stage often need special medical help. C.Children in this stage can often pass on the
  46. calculus

    For which of the following mixtures will Ag2SO4(s) precipitate? 150.0 mL of 0.10 M Na2SO4(aq) and 5.0 mL of 0.20 M AgNO3(aq) 150.0 mL of 0.10 M Na2SO4(aq) and 5.0 mL of 0.30 M AgNO3(aq) 150.0 mL of 0.10 M Na2SO4(aq) and 5.0 mL of 0.40 M AgNO3(aq) 150.0 mL
  47. Chemistry(Please check)

    1) The decomposition of hydrogen peroxide in solution and in the presence of iodide ion was studied in laboratory, and the following mechanism proposed based on the experimental data. H2O2 + I - = H2O + IO - (slow) H2O2 + IO - = H2O + O2 + I - (fast) Which
  48. Chemistry(Please check)

    1) The decomposition of hydrogen peroxide in solution and in the presence of iodide ion was studied in laboratory, and the following mechanism proposed based on the experimental data. H2O2 + I - = H2O + IO - (slow) H2O2 + IO - = H2O + O2 + I - (fast) Which
  49. 8th U.S History DBQ - Pls check my answer!!!

    Document 3 - In 1912, Washington Gladden, an influential white minister from Columbus, Ohio and Washington support asked Booker T. Washington to state his position on woman suffrage. Washington replied: I think you have expressed my own attitude very fully
  50. Language Arts

    May some one check my answers please for Lesson 18: Adventures and Imagination Unit Test: questions 10 - 16 10. Complete the sentence with the word or phrase that has the most positive connotation. When we saw her barefoot and wearing flowers as a crown,
  51. Chemistry - Bob Pursley

    Posted by Sarah H on Friday, May 23, 2008 at 8:10pm. Hi, please check my work: In an experiment, 23.4 g of FES are added to excess oxygen and 16.5 g of FE2O3 are produced. The balanced equation is: 4FeS = 7O2 --> 2Fe2O3 + 2SO2 Calculate the % yield. My
  52. Algebra/Math

    What is the sum of 5/6 + 2/3? My answer is 1 1/2. Cody has 6 1/2 boxes of candy to share at a picnic. If he gives each person 1/3 of a box, how many people can receive candy? My answer is 19. Which of these are not rational? a.3 squared. b.1/5 c.9 squared
  53. World History Answer Check (Ms. Sue)

    What sources inspired the Renaissance thinkers? A: Renaissance thinkers were inspired by a new vision of the world and the value of the individual. The Renaissance thinkers found glory in the idea that the individual had gifts that were almost divine. They
  54. math, calculus 2

    Consider the function f(x)=-((x^2)/2)-9. In this problem you will calculate integrate from 0 to 3 of ((-x^2)/2)-9)dx by using the definition integrate from a to b of (f(x))dx= lim as n approaches infinity of sum_(i=1)^n of (f(x_i))(delta x) The summation
  55. Calculus III

    Find the moment of inertia about a diameter of s spherical shell of uniform density, D, bounded by two concentric spheres of radii a and b, where a<b. Express your answer in terms of a, b and the mass of the spherical shell. So far I have found my
  56. Math (Pre-Calc)

    If any body could help me figure out these problems. I would love to know how to do it, and not just get an answer, however if you don't have the time to explain it to me, then the answer will suffice. 6. (1 pt) Solve the following equation in the interval
  57. Algebra

    I need help trying to put the correct vocabulary words when solving this problem such as grouping, factor, prime factor, GCF, and perfect square, and please check and see if I am doing this correctly. 15x^2+31x+2 In my last problem I will be using the
  58. College Calculus

    The hands of a clock in some tower are 4.5m and 2m in length. How fast is the distance between the tips of the hands changing at 9:00? (Hint: Use the law of cosines) The distance between the tips of the hands is changing at a rate of _______ m/hr at 9:00?
  59. Business

    Camden Products buys a $500,000 machine by taking out a bank loan.The company's assets will______by $500,000 while its liabilities will_____by $500,000. A.rise;rise B.fall;fall C.fall;rise D.rise;fall My answer is D can somebody check for me thenk you
  60. Probability (Please check revised answer)

    X, is assumed to be a random variable by placing letters of the word “YACHT” in a hat. If these letters are withdrawn then it gets replaced. A value of 1 is given when a vowel is retrieved, and a value of 2 is given when a consonant is retrieved while
  61. Calculus

    A bacteria culture contains 200 cells initially and grows at a rate proportional to its size. After half an hour the population has increased to 360 cells. (a) Find the number of bacteria after t hours. (b) Find the number of bacteria after 4 hours. I
  62. Calculus

    Find the length of the entire perimeter of the region inside r=5sin(theta) but outside r=1. 1=5sin(theta) theta=arcsin(1/5) r'=5cos(theta) I tried the integral between arcsin(1/5) and pi-arcsin(1/5) of (((5sin(theta))^2+(5cos(theta))^2))^1/2 which gives me
  63. ELA

    "I THINK I CORRECT ANSWER IS D " can someone please check ......... Which of the following quotes spoken by Romeo shows the strongest example of how he changes over the course of Romeo and Juliet? A . “Sleep dwell upon thine eyes , peace in thy breast! /
  64. history/times zones

    please check these 1. (a) If it is 12:00 noon, Greenwich time, what time is it in Moscow? 3:00 pm In Denver? 5:00 am 2. (a) If it is 1:00 am in the time zone where you live (atlanta, georgia), what time is it in karachi, pakistan? 11 pm In Guangzhou,
  65. Calculus

    Hello, I would like to make sure the answers to these questions are correct. 1. Using the shell method, what is the volume of a solid that is generated by rotating the region by y = x^2 and x = y^2 about the x axis. My Work: r = y h = sqrt(y) - y^2 2pi
  66. Spanish

    Which statement is accurate? A. Fútbol is more important that béisbol in all Spanish­speaking countries. B. Béisbol is more important than fútbol in México. C. Béisbol is more important than fútbol in Cuba, Puerto Rico, and la República
  67. Calculus

    You have been asked to determine where a water works should be built along a river between Chesterville and Denton to minimize the total cost of the pipe to the towns. (a) Assume that the same size (and cost) pipe is used to each town. (This part can be
  68. Chemistry

    Hi, I posted my question earlier but I was having some difficulty with it. 2Al+ 3Cl2-->2AlCl3 You are given 31.0g of aluminum and 36.0g of chlorine gas. 1.If you had excess chlorine, how many moles of aluminum chloride could be produced from 31.0g of
  69. physics

    thanks for the help earlier just got a question I'm taking AP Physics B this year does that mean next year I would Take AP Physics C??? I don't know if the material in C convers the same material plus the additional calculus material or what??? Could I
  70. Biology (Answer Check)

    State how comparing the amino acid sequence of a protein can provide evident that evolution has taken place. A: If evolution has taken place, then, in general, species descended from a recent common ancestor should have fewer amino acid differences between
  71. Calculus URGENT test tonight

    Integral of: __1__ (sqrt(x)+1)^2 dx The answer is: 2ln abs(1+sqrt(x)) + 2(1+sqrt(X))^-1 +c I have no clue why that is! Please help. I used substitution and made u= sqrt(x)+1 but i don't know what happened along the way! Your first step was a good one.
  72. business law

    Please give me some insight on a law hypo...? This is the hypo: Joe received an advertising brochure from X Corp. in the mail. The brochure contained a photo of a Peach 442 computer, and above it the statement, "While supplies last. All Peach computers on
  73. Health/Law

    Please check my answer thanks :) Judgement has been entered against Sue in the Eastern District Court of Kentucky . Which of the following must be true for the judgement to be valid against her personally ? 1. She was a redsident of KY 2. The court had
  74. Chemistry(Please check answers)

    1) The decomposition of hydrogen peroxide in solution and in the presence of iodide ion was studied in laboratory, and the following mechanism proposed based on the experimental data. H2O2 + I - = H2O + IO - (slow) H2O2 + IO - = H2O + O2 + I - (fast) Which
  75. grammar

    Grammar Exercise 3 To Be Distributed to Students in Week Five Rewrite the following sentences, focusing on the grammar area specified in the left column. To enter your answer, click next to the number and begin typing. If the sentence is already correct,
  76. Calculus

    A holding pen for fish is to be made in the form of a rectangular solid with a square base and open top. The base will be slate that costs $4 per square foot and the sides will be glass that costs $5 per square foot. If the volume of the tank must be 50
  77. Health. Check my answers please

    Can someone please check my answers. 1. Violence resulting in the death of another person is called A. Bullying B. Homicide C. Conflict D. Rape 2. Using the excitement of violence to keep video games users playing their games is an example of which risk
  78. Algebra 1--Please, check my answer!

    Connor and Matt walks a 12-mile course as part of a fitness program. Matt walks 1 mi/h faster than Connor, and it takes him 1 hour less than Connor to complete the course. How long does it take Connor to complete the course? A: It takes Connor 4 hours to
  79. fianance

    can you check my answers if they are correct thank you 1.) A convertible bond is currently selling for $945. It is convertible into 15 shares of common which presently sell for $57 per share. What is the conversion premium? A. $90 B. $45 C. 57 shares D. 13
  80. Health Check answers plz

    Can someone check my answers? 1. Obesity is the condition of being significantly overweight. A. True**** B. False 2. Obesity is body weight that is normal for that particular age, sex and height. A. True B. False**** 3. The number of children in the United
  81. 6 th grade SS

    Can you check my answer What do you think the political and economic future of Cyprus will be like? The future of Cyprus will be a future governed by a new and different governmental and political structure. Like focusing on the economy instead of the
  82. franctional interests

    Hello, I am having a difficult time breaking the following fractions down! what is the common denominator? 98/983 of a 1/2 % 187/983 0f a 1/2% 39/983 of 1/2 % 155/983 of 1/2% 34/983 of 1/2 % 64/983 of 1/2 % 25/983 of 1/2% 65/983 of 1/2% please send me an
  83. history

    education during 1619-1900 Thank you for using the Jiskha Homework Help Forum. Here is an answer another teacher gave to this same question: * history - GuruBlue, Sunday, June 3, 2007 at 5:45pm There is a wealth of material at these sites.
  84. chemistry

    How many grams of C6H12O6 need to be dissolved in 350g of water vto have a solution which freezes at -2.50 degrees celcius? delta T = Kf*m You know Kf, m = molality = mols/kg and mols = grams/molar mass, delta T is 2.50. Solve for grams. Post your work if
  85. Calculus

    The base of a triangle is shrinking at a rate of 1 cm/min and the height of the triangle is increasing at a rate of 6 cm/min. Find the rate (in cm2/min) at which the area of the triangle changes when the height is 38 cm and the base is 36 cm. I just want
  86. Language. Check answers

    My last questions. Direction: Proofread for correct verb forms. If sentence is already correct write C 1. Luis Ortega has been describe as history's greatest rawhide braider. My answer: Luis Ortega have been describe as history's greatest rawhide braider.
  87. Calculus II

    Does anyone know of a very good website that can teach me to better understand the disk, washer, shell method to finding volume of irregular figures (solid of revolution)using of course, integration techniques (such as when to recognize integration with
  88. 6th Grade Math Homework Check

    In the first hour after opening, a coffee shop used 5 2/3 pounds of unflavored coffee. The shop used 2 1/2 times as much flavored coffee as unflavored. How many pounds of flavored coffee did the shop use? My Answer: 14 1/6
  89. Spanish 1

    What is the correct plural form of "una bebida popular"? A.) una bebidas popular B.) una bebidas populares C.) unas bebidas popularas D.) unas bebidas populares (my answer) Anyone check it for me please? I just want to make sure.
  90. accounting

    Tracy Migre, a certified public accounting, has completed the following transactions. Ms.Migres assests , liabilites, and owner equity account titles and balances are shown in the table below. use the table on the page to show the effect of each
  91. calculus

    please help me Asap In 1970, the total enrollment in public universities and colleges in a country was 5.1 million students. By 2004, enrollment had risen to 14.3 million students. Assume enrollment can be modeled by exponential growth. (a) Estimate the
  92. Probability (Pre-Calculus)

    A class is given a list of eight study problems from which five will be part of an upcoming exam. If a given student knows how to solve six of these problems, find the probability that the student will be able to answer: (a) all five questions on the exam.
  93. pre-calc

    Can someone check my work please? Convert each polar equation to a rectangular equation. Then determine the graph's slope and y-intercept. ( I'm going to type 'x' instead of theta ) r sin(x- pi/4)=2 r(sin(x- pi/4))=2 r(sinx*cos pi/4 - sin pi/4*cosx)=2
  94. English

    4. You applied for teaching. Would you let us know why you decided to be a teacher? - When I was an elementary school student, my homeroom teacher liked me very much. I also studied hard to please my teacher. So, my future job became teaching at school. I
  95. Can you check my answer - Physics

    A balloonist drops an apple weighing 1.5 N over the side of the balloon's gondola. As it falls and increases speed, the drag force from the air upward on it increases. When the upward force is 0.7 N, what is the direction and magnitude of the net force on
  96. Chemistry

    Answer check: I got 1.66 x 10^3 g O2 A steel cylinder contains 98.0 moles of oxygen gas at a temperature of 38 degrees C and a pressure of 740 torr. After some of the oxygen gas has been used, the pressure is reduced to 332 toor at a temperature of 24
  97. Algebra

    I am trying to find out if my answer's are correct. Can someone please verify. What is the equation for the line that passes through the (-2,2) and has a slope of 5? Answer- Y=5x + 2 Y=5x +12 Y=5x -2 None of these ¨C I believe this is the answer Find the
  98. Algebra

    I'm trying this again, I'd like the quadratic form, so i can then work the intercepts myself. SO: what's the quadratic form of 1/4(x+3)^2-4 I need it to find the intercepts of the parabola it describes. Check: I think the parabola is 1/4 scaled, moved 3 to
  99. math, correction,plz

    Can someone correct these for me..plz... Problem #1 simplify. ((p^5)^4)/(p^6) MY answer: p^14 Problem #2 Write using positive exponents only. b^-6 MY answer: (1)/(b^6) Problem#3 Write 1.81 X 10^-2 in standard notation My answer. 0.0181 Problem #4 Subtract
  100. US history

    Indicate below the type of government each colony had in the year 1750. 1 NEW HAMPSHIRE; ROYAL 2 MASSACHUSETTS; ROYAL 3 CONNECTICUT; SELF-GOVERNING 4 RHODE ISLAND;SELF-GOVERNING 5 NEW YORK; SELF-GOVERNING 6 NEW JERSEY;ROYAL 7 PENNSYLVANIA;PROPRIETARY 8