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A: Differentiate y = e^sin2x+sin(e^2x) with respect to x.
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A: The given integral is: I=∫cos33xsin43xdx ...1 We know that; The Power rule: ∫xndx=xn+1n+1+C
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A: Differential equation
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A: To find : ∫0π2cos6xsin4xdx
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A: Given integration ∫sin29x-x5+6e6x+5cos5x+x5dx Now we break it and we get ∫sin29xdx-…
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A: This is a problem related to integration. Based on the general formula and concepts we will answer…
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A: Integral by parts:∫ uv dx =u∫ vdx -∫(dudx∫vdx) dxI=∫ x6 cos(3x) dxu=x6, dudx=6x5v=cos(3x), ∫ vdx…
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A: Given query is to find the derivative of cos-1(-3x).
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- According to the Department of Motor Vehicles (DMV), the entity in charge ofprovidingdrivinglicensesintheUnitedStates,itisillegaltodrivewithabloodalcoholcontentof0.08%ormoreif you are 21 or older. In the DMV’s guidelines to determine when a person is driving under the influence, itisindicatedthatfewer than five percent of the population weighing 100 pounds will exceed the 0.33 alcohol level. Assume this is accurate. If the Highway Patrol stops in a random day 200 unrelated cars where the individual weighs one hundred pounds, on a Friday night, what is the probability that six percent of more individuals stopped exceeds that 0.33 alcohol level?The file MidCity Download MidCitycontains data on 128 recent sales in Mid City. For each sale, the file shows the neighborhood (1, 2, or 3) in which the house is located, the number of offers made on the house, the square footage, whether the house is made primarily of brick, the number of bathrooms, the number of bedrooms, and the selling price. Neighborhoods 1 and 2 are more traditional neighborhoods, whereas neighborhood 3 is a newer, more prestigious neighborhood. Home Nbhd Offers Sq Ft Brick Bedrooms Bathrooms Price 1 2 2 1790 No 2 2 228600 2 2 3 2030 No 4 2 228400 3 2 1 1740 No 3 2 229600 4 2 3 1980 No 3 2 189400 5 2 3 2130 No 3 3 239600 6 1 2 1780 No 3 2 229200 7 3 3 1830 Yes 3 3 303200 8 3 2 2160 No 4 2 301400 9 2 3 2110 No 4 2 238400 10 2 3 1730 No 3 3 208000 11 2 3 2030 Yes 3 2 265000 12 2 2 1870 Yes 2 2 246000 13 1 4 1910 No 3 2 205200 14 1 5 2150 Yes 3 3 252600 15 3 4 2590 No 4 3 353600 16 3 1 1780 No 4 2 291600 17 2 4 2190 Yes 3 3…The television show CSI: Shoboygan has been successful for many years. That show recently had a share of 19, which means, that among the TV sets in use, 19% were tuned to CSI: Shoboygan. An advertiser wants to verify that 19% share value by conducting its own survey, and a pilot survey begins with 12 households have TV sets in use at the time of a CSI: Shoboygan broadcast.
- Kentville, a community of 10,000 people, resides next to a krypton mine, and there is a concern that the emission from the krypton smelter have resulted in adverse effects. Specifically, Kryptonosis seems to have killed 12 of Kentville’s inhabitants last year. A neighboring community, Lanesburg, has 25,000 inhabitants and is far enough from the smelter to not be affected by the emission. In Lanesburg, only three people last year died of Kryptonosis. Given that the number of deaths in Kentville and their causes last year were: Heart attack=7 Accidents=4 Kryptonosis=12 Other=6 What is the risk of dying of Kryptonosis in Kentville relative to non-contaminated locality?What is the risk of dying of Kryptonosis in Kentville relative to deaths due to other causes? How many times the chance of dying of Kryptonosis compared to dying of accidents ? How many times the chance of dying of Kryptonosis compared to Other causes?Kapoda travel agency deals with numerous personal colors each day and prides itself on its level of service.The time to deal with each color depends on the clients requirements which range from say a request for a brochure to booking around the world cruise.If clients have to wait more than 10 minutes for attention it is ABs policy for the manager to see them personally and to give them Ksh. 50000 holiday voucher. Observations have shown that the time taken to deal with client and their arrival partterns follows distribution bellow Time to deal with clients Minutes 2 4 6 10 14 20 30 Probability 0.05 0.10 0.15 0.30 0.25 0.10 0.05 Time between arrivals Minutes 1 8 15 25 Probability 0.2 0.4 0.3 0.1 Required: Describe how you would simulate the operation of the travel agency. Simulate the arrival and serving of 12 clients and show the number of customers who receive voucher (use Line 1 of the random numbers bellow to drive the arrival pattern and line 2 for the serving…According to the Mines and Geosciences Bureau (MGB) Region 6 identified the top 2 districts with the most number of barangays prone to flooding. Moreover, they have also whether these barangays are "very nigh of "high" susceptibility to flooding. In Jaro, nine barangays have "very high" flooding risk. These'are San Isidro, (5) Sambag, (6) Ungka, (7) Lanit, (8) Buntatala, and (9) Tagbak. identified (yCalubihan, (2) Buhang, (3) Dungon-A, (4) The Jaro barangays with 18 "high" flooding risk are (1) Montinola, (2) Taytay Zone 2, (3) Desamparados, (4) Cuartero, (5) Ma. Christina, (6) San Roque, (7) Simon Ledesma, (8) Democracia, (9) Tabuc Suba, (10) Cubay, (11) Balabago, (12) MV Hechanova, (13) Quintin Salas, (14) Tacas, (15) Dungon B., (16) Camalig, (17): Arguelles, and (18) El 98. In Mandurriao, four villages with "very high" susceptibility to flooding are (1) Tabucan, (2) Bakhaw, (3) Buhang Taft North, and (4) Santa Rosa. Barangays deemed with "high" flood exposure risk are (1) San…
- I want example of last-come first-served (LCFS)Daniel Glaser, chairman of the College of San Antonio’sbusiness department, needs to assign professors to courses nextsemester. As a criterion for judging who should teach each course,Professor Glaser reviews the past 2 years’ teaching evaluations (which were filled out by students). Since each of the four profes-sors taught each of the four courses at one time or another during the 2-year period, Glaser is able to record a course rating for eachinstructor. These ratings are shown in the following table.a) Find the assignment of professors to courses to maximize theoverall teaching rating.b) Assign the professors to the courses with the exception thatProfessor Fisher cannot teach statistics. PXPROFESSOR COURSE STATISTICS MANAGEMENT FINANCE ECONOMICSW. W. Fisher 90 65 95 40D. Golhar 70 60 80 75Z. Hug 85 40 80 60N. K. Rustagi 55 80 65 55A union’s executive conducted a survey of its members to determine what the members felt the important issues to be discussed during upcoming negotiations with management. Results showed that 74% felt that job security was an important issue, while 65% felt that pension benefits were an important issue. Of those who felt that pension benefits were an important issue, 60% also felt that job security was an important issue. b). What proportion of the members felt that at least one of these two issues was important?
- A union’s executive conducted a survey of its members to determine what the members felt the important issues to be discussed during upcoming negotiations with management. Results showed that 74% felt that job security was an important issue, while 65% felt that pension benefits were an important issue. Of those who felt that pension benefits were an important issue, 60% also felt that job security was an important issue. What percentage of the members felt that at least one of these two issues was important?The article “Determination of Most RepresentativeSubdivision” (J. of Energy Engr., 1993: 43–55) gavedata on various characteristics of subdivisions that couldbe used in deciding whether to provide electrical powerusing overhead lines or underground lines. Here are thevalues of the variable x 5 total length of streets within asubdivision:1280 5320 4390 2100 1240 3060 47701050 360 3330 3380 340 1000 9601320 530 3350 540 3870 1250 2400960 1120 2120 450 2250 2320 24003150 5700 5220 500 1850 2460 58502700 2730 1670 100 5770 3150 1890510 240 396 1419 2109a. Construct a stem-and-leaf display using the thousandsdigit as the stem and the hundreds digit as theleaf, and comment on the various features of thedisplay.b. Construct a histogram using class boundaries 0, 1000,2000, 3000, 4000, 5000, and 6000. What proportion of subdivisions have total length less than 2000?Between 2000 and 4000? How would you describethe shape of the histogram?The bureau of Transportation Statistics reports on-time performance for airlines at major u.S. airports. Jetblue, united, and uS Airways share terminal C at boston’s loganAirport. The percentage of on-time flights reported for August 2012 was 76.8% forJetblue, 71.5% for united, and 82.2% for uS Airways ( bureau of Transportation Statisticswebsite, october 2012). Assume that 30% of the flights arriving at terminal C are Jetblueflights, 32% are united flights, and 38% are uS Airways flights.a. Develop a joint probability table with three rows (the airlines) and two columns (ontime and late).b. An announcement is made that Flight 1382 will be arriving at gate 20 of terminal C.What is the probability that Flight 1382 will arrive on time?