The table below lists the height h (in cm), the age a (in years), the gender g (1="Male", 0="Female"), and the weight w (in kg) of some college students.Height Age Gender Weight183 2015921177191681916122We wish to fit a linear function of the formto these data. Find the best approximation of this form, using least squares.CO =C1 =C3||||10100f(t) = co + c₁h+c₂a + c398048755950

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Answered: The table below lists the height h (in…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question A. Find the domain for the given functions.. 1 f(x, y) = x +y 2 Зху f(x, y) = у — х2
7. A traditional first experiment in a physics laboratory is to make 98 observations about a burning candle. Laquiana records the height h of the candle in inches at various times t in minutes after she lit the candle. Some of her results are listed below. t h 0 10 30 45 12 11.5 10.5 9.75 Write a linear equation expressing h as a function of t.
mar... Entertainment The wave heights h in the open sea depend on the speed v of the wind and the length of time t that the wind has been blowing at that speed. Values of the function h = f(v, t) are recorded in feet in the table below. Wind speed (knots) D t 10 15 20 30 40 50 60 5 2 4 5 9 14 19 24 10 2 4 TABLE 4 Duration (hours) 15 7 13 21 29 37 2 5 8 16 25 36 47 20 2 5 8 17 28 40 54 30 2 5 9 18 31 45 62 40 2 5 9 33 48 50 67 2 5 19 19 9 33 50 69 (a) What is the value of f(40, 20)? What is its meaning? According to the table, f(40, 20) = , which means that if a 40-knot wind has been blowing in the open feet. sea for 20 hours, it will create waves with estimated heights of (b) What is the meaning of the function of h = f(40, t)? Describe the behavior of this function.. O We fix v and t, resulting in a constant value. 9:23 PM 9/26/2022
The table below lists the height h (in cm), the age a (in years), the gender g (1="Male", 0="Female"), and the weight w (in kg) of some college students. Height We wish to fit a linear function of the form C2 = || Age Gender 175 20 182 20 156 23 174 18 165 21 1 1 0 1 0 f(t) = co + c₁h + c₂a + c3g to these data. Find the best approximation of this form, using least squares. Co = C1 = Weight 77 84 49 76 56
Let f(z) be the height of a maple tree in inches and z the number of years since 2000. A linear model for the data is f(z)= 9.44r +84.182. %3D 220 210 200 190 180 170 160 150 140 130 120 10 100 90 80 70 60 50 12 15 A) To the nearest inch, estimate the height of the maple tree in 2015. inches B) Use the equation to find the year in which the tree will be 232 inches tall. Question Help: Message instructor Submit Question hp
Estimate v16.3 using the linearization L(x) of f(x) = Vx at a = 16. (Use decimal notation. Give your answer to three decimal places.) L(16.3) =
A method sometimes used by pediatricians to calculate the dosage of medicine for children is based on the child's surface area. If a denotes the adult dosage (in milligrams) and if S is the child's surface area (in square meters), then the child's dosage is given by D(S) = Sa 1.7 . (a) Show that D is a linear function of S.Hint: Think of D(S) as having the form D(S) = mS + b. What is the slope m and the y-intercept b? m = b = (b) If the adult dose of a drug is 450 mg, how much should a child whose surface area is 0.4 m2 receive? (Round your answer to two decimal places.) mg

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