Answered: -3x₁ + x₂ + 12x3 = 50 6X₁ X₂ X3 = 3 6x₁…

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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Four-legged animals run with two different types of motion: trotting and galloping. An animal that is trotting has at least one foot on the ground at all times, whereas an animal that is galloping has all four feet off the ground at some point in its stride. The number of strides per minute at which an animal breaks from a trot to a gallop depends on the weight of the animal. Use the table and the method of this example to find an equation that relates an animal's weight x (in pounds) and its lowest galloping speed y (in strides per minute). Weight, x Galloping Speed, y Need Help? Submit Answer 25 192.5 + Take the natural logarithm of each coordinate to obtain points of the form (In x, In y). (Round your answers to three decimal places.) Weight, x 50 174.8 Galloping Speed, y In x In y 35 50 184.7 174.8 25 192.5 Read It 75 165.2 35 184.7 500 121.9 1000 113.2 Find the least squares regression line for the transformed points. (Round your answers to three decimal places.) In y = In x 75…
Four-legged animals run with two different types of motion: trotting and galloping. An animal that is trotting has at least one foot on the ground at all times, whereas an animal that is galloping has all four feet off the ground at some point in its stride. The number of strides per minute at which an animal breaks from a trot to a gallop depends on the weight of the animal. Use the table and the method of this example to find an equation that relates an animal's weight x (in pounds) and its lowest galloping speed y (in strides per minute) Weight, x Galloping Speed, y 193.5 In y 35 50 75 500 185.7 174.8 162.2 124.5 Take the natural logarithm of each coordinate to obtain points of the form (In x, In y). (Round your answers to three decimal places.) Weight, x 35 185.7 Galloping Speed, y In x 193.5 1000 111.2 50 174.8 75 162.2 500 124.9 1000 111.2 Find the least squares regression line for the transformed points. (Round your answers to three decimal places.) In y 7+1 Find an equation of…
l MTN ? 01:22 @ 1 87% Quetions.pdf ... 1, Given the following graph G, how many 4-walks from vertex a to b? How many 4-walks from vertex a to itself? 2, Solve the following system of equations: r+y+z = 2 2r +y +z = 1 z+y+ 2z = 1 3, A hobby store has 20 meters of fencing to fence off a rectangular area for an electric train in one corner of its display room. All four sides require fences. What dimensions of the rectangle will maximize the area? What is the maximum area? 4, A vehicle was traveling along a straight way. The velocity as a function of time is modeled by the function v(t) = 2t? + 3, where v(t) is in feet per second, t is in seconds. How far did the vehicle travel in time interval [0,5]?
9
Pottery An artist experimenting with clay to create pot-tery with a special texture has been experiencing dif-ficulty with these special pieces. About 40% break in the kiln during firing. Hoping to solve this problem, she buyssome more expensive clay from another supplier. Sheplans to make and fire 10 pieces and will decide to usethe new clay if at most one of them breaks.a) Suppose the new, expensive clay really is no betterthan her usual clay. What’s the probability that this testconvinces her to use it anyway? (Hint: Use a Binomialmodel.)b) If she decides to switch to the new clay and it is nobetter, what kind of error did she commit?c) If the new clay really can reduce breakage to only20%, what’s the probability that her test will not detectthe improvement?d) How can she improve the power of her test? Offer atleast two suggestions.
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-3x₁ + x₂ + 12x3 = 50 6X₁ X₂ X3 = 3 6x₁ + 9x₂ + x3 = 40 -