Discuss the historical interpretation of Gompers’ article in 1890. Excerpt from: The Labor Movement is A Fixed Fact by Samuel Gompers, Address in Louisville, Kentucky. May 1890. My friends, we have met here today to celebrate the idea...that on May the first, 1890, the wage-workers of the world will lay down their tools in sympathy with the wage-workers of America, to establish a principle of limitations of hours of labor to eight hours for sleep, eight hours for work, and eight hours for what we will. The man who works the long hours has no necessities except the barest to keep body and soul together, so he can work. He goes to sleep and dreams of work; he takes his frugal lunch to work; he comes home again to throw himself down on a miserable apology for a bed so that he can get that little rest that he may be able to go to work again. He is nothing but a veritable machine. He lives to work instead of working to live. The laborer has been regarded as a mere producing machinebut the back of labor is the soul of man and honesty of purpose and aspiration. Our enemies would like to see this movement thrust into Hades, they would like to see it in a warmer climate, but I say to you that this labor movement has come to stay. We want eight hours and nothing less

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Answer/runoff from agricultural feedlots

Answer:     the interval on which the curve is concave up is  (-∞, -1/2)======    we find the interval where this curve is concave up by finding the interval in which the 2nd derivative is positive.differentiate the curve equation with respect to x    let the function f denote be the anti-derivative of the inside expression, i.e. a function such that .then use the fundamental theorem of calculus:     differentiate again to get second derivative. we can use chain rule with 1/x as the outside function and 1 + x + x² as the inside function    find critical numbers of the second derivative. these numbers are where the 2nd deriv. is undefined or zero.where the 2nd derivative is zero: set (d²y/dx²) to equal 0 and solve for x    where the 2nd derivative is undefined: if the denominator is equal to zero, the derivative will be undefeined. attempting to solve the equation    1 + x + x² = 0results in a discriminant of      meaning that the equal 1 + x + x² = 0 has no real solutions and therefore will never equal zero.======our only critical number is x = -1/2.this forms two intervals to test the sign for: (-∞, -1/2) and (-1/2, ∞)test values into the 2nd derivative for (-∞, -1/2)if we try x = -1, we get      so the since the 2nd derivative of the curve is positive on the interval  (-∞, -1/2), the curve is concave up on (-∞, -1/2)test values into the 2nd derivative for (-1/2, ∞)if we try x = 0, we get      so the since the 2nd derivative of the curve is positive on the interval  (-∞, -1/2), the  curve is concave down on (-∞, -1/2).the interval on which the curve is concave up is  (-∞, -1/2)

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