II.Approximate the solution ofdyx3 + x2 – 2xy(x + 1)%3Ddxat x = 2 for the initial value problem y(1.1)=0.5 using(c) 4th order Runge-Kutta method.Use a step size, h% D0.1. Show the sample calculations for the first and last iterations only.Round up your answers to six decimal places.

Given differential equation isdydx=y(x+1)x3+x2-2xy(1.1)=0.5h=0.1The solution of the differential…

Answered: Approximate the solution of dy y(x + 1)…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 18T

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Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.
Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4
The equation of the LSRL for the points on a scatterplot is ŷ = 5.3-0.23x. What is the residual for the point (5, 4)?
Arm circumferences (cm) and heights (cm) are measured from randomly selected adult females. The 146pairs of measurements yield x=34.69cm, y=163.25cm, r=0.075, P-value=0.368, and y=157+0.1826x. Find the best predicted value of y (height) given an adult female with an arm circumference of 40.0cm. Let the predictor variable x be arm circumference and the response variable y be height. Use a 0.05 significance level. The best predicted value is ____cm.
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 135 to 190 cm and weights of 38 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x = 167.42 cm, y = 81.41 kg, r= 0.193, P-value = 0.054, and y = - 106 + 1.14x. Find %3D the best predicted value of y (weight) given an adult male who is 142 cm tall. Use a 0.01 significance level. The best predicted value of y for an adult male who is 142 cm tall is kg. (Round to two decimal places as needed.)
A veterinary nutritionist developed a diet for overweight dogs. The total volume of food consumed remains the same, but one-half of the dog food is replaced with a low-calorie "filler" such as canned green beans. Six overweight dogs were randomly selected from her practice and were put on this program. Their initial weights were recorded, and they were weighed again after 4 weeks. The results of the experiment are shown below. At a=0.05, can it be concluded that the dogs significantly lost weight? Before 42 53 48 65 40 52 After 39 45 40 58 42 47
Interpret effect size t(30)=1.12, p=.34, n2=.001 small, medium, or large
Fifty male subjects drank a measured amount x (in ounces) of a medication and the concentration y (in percent) in their blood of the active ingredient was measured 30 minutes later. The sample data are summarized by the following information: n = 50 Ex = 112.5 Ex? = 356.25 %3D Ey = 4.83 Ey = 0.667 Exy = 15.255 0 < x < 4.5 Or= 0.875 Or= 0.709 Or= -0.846 Or=0.460 Or= 0.965
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of131 to194 cm and weights of 38 to150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x=167.70 cm, y=81.47 kg, r=0.189, P-value=0.060, and y=−102+1.07x. Find the best predicted value of y (weight) given an adult male who is 145 cm tall. Use a 0.05 significance level.
A sociologist wants to determine if the life expectancy of people in Africa is less than the life expectancy of people in Asia. The data obtained is shown in the table below. Africa Asia = 63.3 yr. 1 X,=65.2 yr. 2 o, = 9.1 yr. = 7.3 yr. n1 = 120 = 150
1. A regression was done for 20 cities with the latitude (Latitude), a measurement of the distance of a location on the Earth from the equator in degrees and the average January temperatures (Temp) as the dependent variable measure in °F. The regression equation is Temp = 48.4 – 0.31 × Latitude d) If the actual average January temperature for a latitude of 45 degrees in theses 20 cities is 40°F, use part (c) to calculate the residual and state whether we have underestimated or overestimated.
th 4. A labour welfare officer returns the following number of workers observed with certain classes of defects amongst a number of factory workers. A denotes development defects and B. low nutrition. N= 600 (A) = 250 (aB) = 400 (AB) = 200 %3D %3D Do you find the data consistent?

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Approximate the solution of dy y(x + 1) dx x3 + x2 - 2x at x = 2 for the initial value problem y(1.1)=0.5 using (c) 4th order Runge-Kutta method. Use a step size, h = 0.1. Show the sample calculations for the first and last iterations only. Round up your answers to six decimal places.