Problem 2
Find the locations and values for the maximum and minimum of f (x, y) = 3x^3 − 2x^2 + y^2 over the region given by x^2 + y^2 ≤ 1.
and then over the region x^2 + 2y^2 ≤ 1.
Use the outline:
INSIDE
Critical points inside the region.
BOUNDARY
For each part of the boundary you should have:
• The function g(x, y) and ∇g
• The equation ∇f = λ∇g
• The set of three equations in three unknowns and their complete
solution set
• The list of endpoints of that boundary component (if necessary)
COMPARE
Finally, you compute the value of f(x,y) at each point you have identified and compare to find the minimum and maximum.
Please show all steps for a thumbs up, thank you!
In: Advanced Math
A thin string of length L = 3m is pinned at the two ends. Based on the material linear density ρ and on the traction force T, it can be assumed that √ T/ρ = 2 m/s. The string is initially straight when, at time t = 0, it is tapped in two narrow intervals (1 − 1/8, 1 + 1/8) and (2 − 1/8, 2 + 1/8) with opposite velocities +1m/s and −1m/s, respectively. i) Derive the field equation of the vibrating string for the string displacement u(x, t) and define the complete set of boundary and initial conditions required to solve the problem. ii) Assume that u(x, t) can be find in the form u(x, t) = X(x)T(t) and show how the initial-boundary value problem defined in i) can be reformulated in terms of the functions X(x) and T(t). iii) Discuss how the boundary conditions impose precise restrictions on the solution of the problem. iv) Solve the problem for the specific case at hand and find the expression of u(x, t) which satisfies the full set of field, initial and boundary conditions.
In: Physics
• Using consumption function explain the effect of strong exchange rate on investment within the UK economy?
• How can UK economy strengthen GBP and how does this impact aggregate demand and investment?
• Draw and explain the economic models such as consumption function and three equation model.
In: Economics
GL0701 - Based on Problem 7-1A Church Company LO P1, P2, P3, P4
Church Company completes these transactions and events during March of the current year (terms for all its credit sales are 2/10, n/30).
| Mar. | 1 | Purchased $43,600 of merchandise from Van Industries, terms 2/15, n/30. | ||
| Mar. | 2 | Sold merchandise on credit to Min Cho, Invoice No. 854, for $16,800 (cost is $8,400). | ||
| Mar. | 3 | Purchased $1,230 of office supplies on credit from Gabel Company, terms n/30. | ||
| Mar. | 3 | Sold merchandise on credit to Linda Witt, Invoice No. 855, for $10,200 (cost is $5,800). | ||
| Mar. | 6 | Borrowed $82,000 cash from Federal Bank by signing a long-term note payable. | ||
| Mar. | 9 | Purchased $21,850 of office equipment on credit from Spell Supply, terms n/30. | ||
| Mar. | 10 | Sold merchandise on credit to Jovita Albany, Invoice No. 856, for $5,600 (cost is $2,900). | ||
| Mar. | 12 | Received payment from Min Cho for the March 2 sale less the discount of $336. | ||
| Mar. | 13 | Sent Van Industries Check No. 416 in payment of the March 1 invoice less the discount of $872. | ||
| Mar. | 13 | Received payment from Linda Witt for the March 3 sale less the discount of $204. | ||
| Mar. | 14 | Purchased $32,625 of merchandise from the CD Company, terms 2/10, n/30. | ||
| Mar. | 15 | Issued Check No. 417 for $18,300, payee is Payroll, in payment of sales salaries expense for the first half of the month. | ||
| Mar. | 15 | Cash sales for the first half of the month are $34,680 (cost is $20,210). These cash sales are recorded in the cash receipts journal on March 15. | ||
| Mar. | 16 | Purchased $1,770 of store supplies on credit from Gabel Company, terms n/30. | ||
| Mar. | 17 | Returned $2,425 of unsatisfactory merchandise purchased on March 14 to CD Company. Church reduces accounts payable by that amount. | ||
| Mar. | 19 | Returned $630 of office equipment purchased on March 9 to Spell Supply. Church reduces accounts payable by that amount. | ||
| Mar. | 20 | Received payment from Jovita Albany for the sale of March 10 less the discount of $112. | ||
| Mar. | 23 | Issued Check No. 418 to CD Company in payment of the March 14 purchase less the March 17 return and the discount of $604. | ||
| Mar. | 27 | Sold merchandise on credit to Jovita Albany, Invoice No. 857, for $14,910 (cost is $7,220). | ||
| Mar. | 28 | Sold merchandise on credit to Linda Witt, Invoice No. 858, for $4,315 (cost is $3,280). | ||
| Mar. | 31 | Issued Check No. 419 for $18,300, payee is Payroll, in payment of sales salaries expense for the last half of the month. | ||
| Mar. | 31 | Cash sales for the last half of the month are $30,180 (cost is $16,820). These cash sales are recorded in the cash receipts journal on March 31. |
For this question you must post to the General Journal, General Ledger, Trial Balance, Cash Rec Journal, Cash Disb Journal, Purchases Journal, and Sales Journal.
In: Accounting
In: Finance
write a research on the critical analysis of christian's consistent lateness to church and the methods of approach.
In: Psychology
What are Dr. Mark Laaser’s recommendations regarding addressing sexual addiction in the church?
In: Psychology
In java, ask the user for a filename. Display the oldest car for every manufacturer from that file.
Files Given:
car-list.txt
car-list-1.txt
car-list-2.txt
car-list-3.txt
(they are too big for question)
Required Output:
| Standard Input | Files in the same directory |
|---|---|
car-list-1.txt |
|
Enter filename\n
Oldest cars by make\n
Acura Legend 1989 2T1BPRHE8EC858192\n
Audi 80/90 1988 2GKALMEK4E6424961\n
Bentley Continental Flying Spur 2006 WBA3G7C5XFK430850\n
BMW 600 1959 1N6AA0ED2FN639969\n
Bugatti Veyron 2009 SCFEBBBC5AG474636\n
Buick Century 1987 2HNYD18625H455550\n
Cadillac DeVille 1994 19UUA56793A243886\n
Chevrolet Camaro 1968 WAUDF98E18A693314\n
Chrysler Town & Country 1996 1GYS4EEJ3DR377025\n
Dodge Charger 1970 WBAEW53475P758543\n
Eagle Vision 1995 SCFHDDAJ3AA914259\n
Ferrari 599 GTB Fiorano 2010 2G61M5S34E9207892\n
Ford Fairlane 1966 2G4WF551041378204\n
GMC Sonoma Club 1992 WAUBFAFL9DN784019\n
Honda CR-X 1984 1FT7W2A66EE489233\n
Hummer H2 2008 5N1AR2MM0FC360861\n
Hyundai Entourage 2008 1GYS3SKJ7FR311229\n
Infiniti Q 1992 SCFEBBAK0CG532695\n
Isuzu Space 1994 2T1BURHEXEC222169\n
Jaguar X-Type 2006 2G4GU5GV2C9513452\n
Jeep Cherokee 1995 5XYKT3A67FG750891\n
Kia Spectra 2006 2C3CDYAG7EH527567\n
Lamborghini Countach 1988 JTMHY7AJ1B5630207\n
Land Rover Range Rover 1988 5UXFE8C59AL755549\n
Lexus LS 1993 WAUNF78P97A339372\n
Lincoln Continental 1988 WAUXL68E74A407027\n
Lotus Elise 2007 5NPEB4AC8CH254031\n
Maserati Biturbo 1987 1G4HF57909U685797\n
Maybach 57 2004 1ZVBP8AM3B5509118\n
Mazda 626 1984 WUARL48H69K855595\n
Mercedes-Benz S-Class 1986 JN1BJ0HP2EM742216\n
Mercury Cougar 1970 WBANE73577C052898\n
Mitsubishi Starion 1985 WAUSF98E66A919061\n
Morgan Aero 8 2007 WBA3C3G57FN486516\n
Nissan Quest 2001 1D4PT4GX3BW366571\n
Oldsmobile Custom Cruiser 1992 WDDHF5KB6FB836573\n
Panoz Esperante 2006 1G6KD57Y67U241895\n
Plymouth Voyager 1992 WBAWB73589P509971\n
Pontiac Tempest 1965 WBAKA4C59BC513301\n
Porsche 911 1986 JTHBE1KS8A0650998\n
Rolls-Royce Phantom 2005 WAUCFAFH6EN529880\n
Saab 9000 1989 WBAVA37528N742448\n
Saturn VUE 2006 1FBAX2CM5FK123544\n
Scion xB 2006 4T3BA3BB7CU135336\n
Shelby GT350 1969 KL4CJESB0FB714062\n
Studebaker Avanti 1962 1GD312CG5DF955034\n
Subaru Justy 1990 KM8JT3AB2CU942198\n
Suzuki SJ 1986 WAU4FAFR9AA736195\n
Toyota Celica 1982 3VWF17AT4FM332454\n
Volkswagen Golf 1987 WDCYC7DF8FX386498\n
Volvo 850 1995 1GD312CG7BF949846\n
51 result(s)\n
Test Case 2
| Standard Input | Files in the same directory |
|---|---|
car-list-2.txt |
|
Enter filename\n
Oldest cars by make\n
Acura Integra 1995 WBA3B5G54EN915107\n
Alfa Romeo 164 1994 5GAER23758J589585\n
Audi 4000s 1985 JN8AF5MR9DT832857\n
Bentley Continental Flying Spur 2007 JN1BY0AP0AM634709\n
BMW 600 1959 KNADM5A36E6321537\n
Bugatti Veyron 2009 SCFEBBBC5AG474636\n
Buick Somerset 1985 5N1AA0NC1DN101234\n
Cadillac DeVille 1994 19UUA56793A243886\n
Chevrolet Corvette 1953 3GYFNGEY7BS365963\n
Chrysler Cirrus 1999 1GYFC33249R710666\n
Daewoo Lanos 2002 KNDMG4C79E6368226\n
Dodge Omni 1978 SALGR2VF2FA732350\n
Eagle Summit 1996 KNAGM4AD9D5309595\n
Ferrari 430 Scuderia 2008 1HGCP2E70CA912895\n
Ford Fairlane 1966 2G4WF551041378204\n
Geo Prizm 1994 SALGS2DF9DA398353\n
GMC Rally Wagon 3500 1993 1N6AF0KX1EN730343\n
Honda Prelude 1985 19UUA76667A337717\n
Hyundai Santa Fe 2001 JTDKN3DP0C3011229\n
Infiniti Q 1992 1G4HP52K444142193\n
Isuzu Trooper 1997 4F2CY0C75BK199939\n
Jaguar X-Type 2006 2G4GU5GV2C9513452\n
Jeep Grand Cherokee 2003 1GYFK43549R321965\n
Kia Sephia 1995 4F2CY0C77AK663764\n
Lamborghini Countach 1989 1FTSW2A51AE796515\n
Land Rover Range Rover 1988 5UXFE8C59AL755549\n
Lexus LS 1991 1G4HF57959U054981\n
Lincoln Town Car 1989 1D7RV1CT3BS523594\n
Lotus Elan 1990 WBANA53575C102986\n
Maserati Quattroporte 1984 1G6DS5E31C0696841\n
Maybach 57 2003 JTJBJRBZ7F2575213\n
Mazda 626 1985 19UUA56663A426458\n
Mercedes-Benz W201 1991 SCFFBCCD3BG450032\n
Mercury Cougar 1970 WBANE73577C052898\n
MINI Cooper 2002 WBAYP1C51FD265309\n
Mitsubishi Starion 1985 WAUSF98E66A919061\n
Nissan NX 1992 WAUDV74F98N860145\n
Oldsmobile Toronado 1992 JH4DC54893S582029\n
Panoz Esperante 2005 WA1CMAFE4ED877109\n
Peugeot 207 2007 3C63DPBL8CG511366\n
Plymouth Voyager 1992 WBAWB73589P509971\n
Pontiac Tempest 1965 WBAKA4C59BC513301\n
Porsche 911 1986 JTHBE1KS8A0650998\n
Rolls-Royce Phantom 2005 WAUCFAFH6EN529880\n
Saab 9000 1989 WBAVA37528N742448\n
Saturn S-Series 2002 2T1KU4EE6DC200286\n
Scion xD 2011 YV1672MC1AJ515133\n
Shelby GT350 1969 KL4CJESB0FB714062\n
Subaru Brat 1986 3D7TT2CT3BG995173\n
Suzuki SJ 1988 1D4PU5GK6BW944265\n
Toyota Celica 1982 3VWF17AT4FM332454\n
Volkswagen Passat 1987 1G6DV1EP8C0229130\n
Volvo C70 1998 2C3CDZBT6FH112033\n
53 result(s)\n
Test Case 3
| Standard Input | Files in the same directory |
|---|---|
car-list-3.txt |
|
Enter filename\n
Oldest cars by make\n
Acura Legend 1989 2T1BPRHE8EC858192\n
Aston Martin DB9 Volante 2006 KNDKG3A24A7680578\n
Audi 80/90 1988 2GKALMEK4E6424961\n
Bentley Continental Flying Spur 2006 2C3CCABG2CH411828\n
BMW 600 1959 1N6AA0ED2FN639969\n
Buick Skylark 1986 1G6AB5R31F0410780\n
Cadillac DeVille 1994 19UUA56793A243886\n
Chevrolet Corvair 1960 1GTN1TEH5FZ654712\n
Chrysler Imperial 1926 3N1CE2CP2FL275760\n
Citroën CX 1989 1N6AA0CJ6EN188987\n
Dodge Charger 1970 WBAEW53475P758543\n
Eagle Vision 1995 SCFHDDAJ3AA914259\n
Ferrari 599 GTB Fiorano 2010 2G61M5S34E9207892\n
Ford Mustang 1971 WAUWFAFR6DA642708\n
Geo Prizm 1993 SCFEDCAD4CG747594\n
GMC Sonoma Club 1992 WAUBFAFL9DN784019\n
Honda CR-X 1984 1FT7W2A66EE489233\n
Hummer H2 2008 5N1AR2MM0FC360861\n
Hyundai XG350 2002 WAUFMAFC2EN588576\n
Infiniti Q 1992 SCFEBBAK0CG532695\n
Isuzu Space 1994 2T1BURHEXEC222169\n
Jaguar S-Type 2001 WBASN2C55DC838510\n
Jeep Cherokee 1995 5XYKT3A67FG750891\n
Kia Spectra 2006 2C3CDYAG7EH527567\n
Lamborghini Countach 1988 JTMHY7AJ1B5630207\n
Land Rover Range Rover 1988 5UXFE8C59AL755549\n
Lexus LS 1993 WAUNF78P97A339372\n
Lincoln Continental 1988 WAUXL68E74A407027\n
Lotus Exige 2004 1D7RV1CT6AS741379\n
Maybach 57 2004 1ZVBP8AM3B5509118\n
Mazda 626 1984 WUARL48H69K855595\n
Mercedes-Benz S-Class 1986 JN1BJ0HP2EM742216\n
Mercury Cougar 1970 WBANE73577C052898\n
Mitsubishi Galant 1986 5N1AT2ML1EC611331\n
Morgan Aero 8 2007 WBA3C3G57FN486516\n
Nissan NX 1992 WAUDV74F98N860145\n
Oldsmobile Toronado 1992 JH4DC54893S582029\n
Panoz Esperante 2008 3D73Y4EL2AG593685\n
Plymouth Volare 1976 1G6EL12Y32B567559\n
Pontiac Tempest 1965 WBAKA4C59BC513301\n
Porsche 911 1986 WBSBR93426P234215\n
Rolls-Royce Ghost 2012 1D7RE2GK4BS527662\n
Saab 900 1996 ZFBCFACH5FZ823825\n
Saturn VUE 2006 1FBAX2CM5FK123544\n
Scion xB 2006 4T3BA3BB7CU135336\n
Shelby GT350 1969 KL4CJESB0FB714062\n
Studebaker Avanti 1962 1GD312CG5DF955034\n
Subaru Justy 1990 KM8JT3AB2CU942198\n
Suzuki SJ 1986 WAU4FAFR9AA736195\n
Toyota MR2 1986 JTDKTUD35ED964783\n
Volkswagen Golf 1987 WDCYC7DF8FX386498\n
Volvo 850 1995 1GD312CG7BF949846\n
52 result(s)\n
A few lines of cars-list that might help:
make model year vin Lexus LX 2010 4T3BA3BB8CU505032 Dodge Ram Van B350 1994 5N1CR2MNXEC243935 Volkswagen Type 2 1986 WAUDF48H17K529096 Buick Lucerne 2011 1FTNX2A57AE582302 Isuzu Axiom 2004 WBA3A5C53EP267014 GMC 3500 Club Coupe 1995 WBAEK73435B009775 Jaguar XF 2012 WBAFR7C50CC926771 Toyota Tacoma 2010 JTEBU5JR2C5510537 BMW X6 M 2013 1D7RB1CT9BS271133 Pontiac GTO 1964 WAUJFAFH5DN416041 Volkswagen CC 2013 1C3CCBAG9EN215371 Ford LTD Crown Victoria 1993 WBXPA93424W053318 Ford Aerostar 1994 1FMEU6FE6AU161181 Volvo S60 2001 WAUSF78E27A949809 Mitsubishi Eclipse 1991 1FTEW1C80AK681226 Volkswagen Touareg 2004 1B3CB5HA6AD986681 Volvo S80 2002 WBAYA8C58FG901796 Acura RL 2008 19UUA66268A236346 Porsche 928 1986 2T1BURHE2FC730993 Buick Somerset 1987 WAUCKAFR5AA102258 Volkswagen Touareg 2010 WAUKF98P49A574439 Chevrolet Express 2006 JH4KB163X7C282844 Dodge Charger 2011 WBAHL83566D244296 Toyota Matrix 2012 2C3CCAEG0FH601353 Chevrolet 2500 2000 WAUBF48H37K132190 Jaguar XK Series 2005 19UUA9F25BA671349 Hummer H3 2006 1FMEU6EE2AU658326 Lincoln MKT 2010 1GT022CG3EF969732 Mitsubishi Galant 1997 WBAUC73528V077781 Lotus Exige 2006 2T2BK1BA6EC560905 Suzuki Sidekick 1993 3C3CFFAR1DT265678 Mercury Cougar 1993 3C63D3JL5CG653202 Dodge Ram Wagon B350 1994 3VWKP7AJ8DM315908 Chevrolet G-Series G20 1992 1D4RE5GG2BC413258 BMW M3 2009 5N1AN0NUXFN200196 BMW X5 2004 WAUUL78E75A789974 Ford E-Series 1996 WP1AE2A27CL645373 Mazda Mazda6 2007 WBAYP9C58ED417275 Mazda Tribute 2005 19UUA9F76CA390478 Lotus Elise 2007 1G6DJ5EG7A0576643 Dodge Dakota 2002 WBA3A9C5XFK249518 Volkswagen Quantum 1984 WBANV13548C686202 Lexus RX 2001 KM8JT3AB2DU052530 Pontiac Turbo Firefly 1990 5NPDH4AE1CH808652 Land Rover Freelander 2010 4T1BD1EB7EU689348 Acura NSX 2002 1FTNF2B54AE400508 Mercedes-Benz SL-Class 2002 WBA3B9G54FN126853 Cadillac Escalade 2004 2T1BU4EEXCC690200 Toyota Camry Solara 2008 3GYFNFE36FS186821
Notes in program and right format if possible, thanks. You can use any of the sorting searches like bubble or selection search or QuickSort since this is the section we are working on.
P.S This was the question I was given, I can't edit it to give more detail and I can't edit the outputs needed to have anything else because those are non editable and so are the given files.
In: Computer Science
A UK company has purchased a Call Option on UK ₤ for 0.02 dollars per ₤. The strike price was ₤1=$1.47 and the spot rate at the time the option could be exercised was ₤1=$1.56. There are ₤32,500 in a Sterling Option Contract. Calculate the company’s net profit, illustrating your answer with a Contingency Graph of the Call Option position.
In: Finance
Smoking habits of UK residents: A survey was conducted to study the smoking habits of UK residents. Below is a data matrix displaying a portion of the data collected in this survey. Note that "£" stands for British Pounds Sterling, "cig" stands for cigarettes, and "N/A" refers to a missing component of the data.
| sex | age | marital | grossIncome | smoke | amtWeekends | amtWeekdays | |
|---|---|---|---|---|---|---|---|
| 1 | Female | 42 | Single | Under £2600 | Yes | 12 cig/day | 12 cig/day |
| 2 | Male | 44 | Single | £10,400 to £15,600 | No | N/A | N/A |
| 3 | Male | 53 | Married | Above £36,400 | Yes | 6 cig/day | 6 cig/day |
| ∶ | ∶ | ∶ | ∶ | ∶ | ∶ | ∶ | ∶ |
| 1609 | Male | 40 | Single | £2600 to £5,200 | Yes | 8 cig/day | 8 cig/day |
a) What does each row of the data matrix represent?
b) How many participants were included in the survey?
c) Identify each variable, determine whether each variable is
numerical or categorical. If the variable is numerical, specify
continuous or discrete. If the variable is categorical, specify
whether the variable is ordinal or not.
Get help: Video
In: Statistics and Probability