Recent content by Lurid

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    Simplifying the Equation for a Circle: r2 = 20 - 4θ + 10θ2

    Homework Statement Eliminate the parameter: x=2-3θ y= 4+θ Homework Equations x2 + y2 = r2 The Attempt at a Solution [x=2-3θ]2; [y= 4+θ]2 x2= 4-12θ+9θ2 y2= 16+8θ+θ2 ------------------------------------- x2+y2 = 20 - 4θ + 10θ2 r2 = 20 - 4θ + 10θ2 Is there another...
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    Find Equation of Conic with Vector & Foci - Ellipse

    Homework Statement Given the vector (6,-15) and foci (6,10) (6,-14), Find the equation of the conic.Homework Equations Vector = <6,-15> (x-h)2/a2 + (y-k)2/b2 = 1 Foci (h+c,k) and (h-c,k) vertices (h+a,k), (h-a,k) The Attempt at a Solution k = 6 h=-2 a=-12 I'm not sure what I'm doing. How do...
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    How Can You Optimize Material in Manufacturing Open-Top Square Base Boxes?

    I'm still kinda confused. I have a cubic equation, but I can't simplify it any further. It also doesn't really make sense to me theoretically speaking, because how can you make a box that is 9 cubic feet with a 100 square feet sheet metal? Is it even possible? I'm still kinda convinced that my...
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    How Can You Optimize Material in Manufacturing Open-Top Square Base Boxes?

    Homework Statement Suppose that you are the manager of a sheet metal shop. A customer asks you to manufacture 10,000 boxes, each box being open on the top. The boxes are required to have a square base and a 9 cubic foot capacity. You construct the boxes by cutting out a square from each...
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    Systems of Nonlinear Equations

    It was a negative number, -2.77. I'll just ask my teacher tomorrow. :)
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    Systems of Nonlinear Equations

    Thanks so much! I can't believe I couldn't catch that. I still couldn't get a correct answer though (well, it doesn't work because x=74).
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    Systems of Nonlinear Equations

    Homework Statement A wire 60 feet long is cut into two pieces. Is it possible to bend one piece into the shape of a square and the other into the shape of a circle so that the total area enclosed by the two pieces is 100 square feet? If this is possible, find the length of the side of the...
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    Exponential and Logarithmic Functions

    Thanks! Oh, wow. I never though of it that way! That would have saved a lot of work, haha.
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    Exponential and Logarithmic Functions

    Thanks! Oh, wow. I never though of it that way! That would have saved a lot of work, haha.
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    Exponential and Logarithmic Functions

    Can anyone check my work? I'm doubtful of my answer. Homework Statement The bacteria in a 4-liter container double every minute. After 60 minutes the container is full. How long did it take to fill half the container? Homework Equations I used: F = A × 260 (1/2)F = A × 2x F...
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    What is the optimal ratio of peanuts to cashews for maximum revenue?

    Homework Statement A store sells cashews for $5.00 per pound and peanuts for $1.50 per pound. The manager decides to mix 30 pounds of peanuts with some cashews and sell the mixture for $3.00 per pound. How many pounds of cashews should be mixed with the peanuts so that the mixture will...
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    Find the Area of the Parallelogram

    Homework Statement Find the area of the paralellogram with vertices P1, P2, P3, and P4. *Not all pairs of vertices will give rise to a side. P1 = (1, 2, -1) P2 = (4, 2, -3) P3 = (6, -5, 2) P4 = (9, -5, 0) Homework Equations ||U X V || is the area of the parallelogram having U≠0 and...
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    Dot and Cross Products: Solving for [u x v] - 0, Simplification and Distribution

    Homework Statement u (dot) [ u x v] Homework Equations The Attempt at a Solution The answer is 0, but I'm not sure why. Do you simplify [u x v], then use that vector to dot it with u? Or can you distribute the u to both u and v?