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Water is flowing in a cylindrical pipe of radius 1 inch. Because water is viscous and sticks to the pipe, the rate of flow
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16 = snakes + guinea pigs + miniature poodles s=snakes, g=guinea pigs, m=miniature poodles 16 = s + g + m g = 1 + m s = 2 + g So: 16 = (2 + g) + (1 + m) + m 16 = 2 + (1 + m) + (1 + m) + m Combine like terms: 16 = 4 + 3m 12 = 3m 4 = m Since g = 1 + m: g = 5
start by drawing a diagram. you should notice that you have a triangle with the ladder as the hypoteneuse. you are given that the lower end is moving away from the wall at 6m/sec, so your dx/dt =6. To find y when x=7: x^2 +y^2 = 25^2 7^2 +y^2 = 625 49 +
remember that the first derivative gives you the max's and min's and the second derivative tells you concavity and inflection points
3 3/4= 12/4 + 3/4= 15/4 1 1/3= 3/3 + 1/3= 4/3 15/4 - 4/3= (3*15)/(3*4) - (4*4)/(4*3) =45/12 - 16/12 =29/12 =2 5/12 OR 1 17/12

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