Recent content by PandaherO

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    Buoyancy and Spring force problem.

    oh, :o I was using just 0.28 before, I see now. Thanks! :) (especially ehild for drawing the diagram)
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    Buoyancy and Spring force problem.

    Woops my bad, okay, I changed it to volume of a cylinder. So in equilibrium net force is 0, and the forces in the system are Fb, Fspring, Fg After drawing, Fnet=(Fb+Fspring)-Fg Fb+Fspring=Fg Fb=rho of water* Vfluid displaced, which would be broken down into ∏r^2 *h that's height of...
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    Buoyancy and Spring force problem.

    Homework Statement A spring with spring constant 35N/m is attached to the ceiling, and a radius=0.025m, 1.0kg metal cylinder is attached to the lower end. The cylinder is held so that the spring is neither stretched nor compressed, then a tank of water is placed under-neath with the surface of...
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    Constrained Optimization using Lagrange multipliers with Commerce applications

    Homework Statement Hello! I'm having some difficulty getting the objective function out of this question, any help/hints would be appreciated >.< Company A prepares to launch a new brand of tablet computers. Their strategy is to release the first batch with the initial price of p_1 dollars...
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    Finding the maximum value given an interval

    OHH no wonder...*facepalms myself* the minus sign... and yea, the problem wanted the x and y coordinate) Thank you so much owo
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    Finding the maximum value given an interval

    the question also gave a hint that my maximum value may depend on a and b so (x^(a-1) (1-x)^(b-1)) (a(1-x)+bx) =0 then do I set (a(1-x)+bx)=0? and solve for x? i got x=a/(a-b) and it isn't the correct answer...
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    Finding the maximum value given an interval

    Homework Statement If a and b are positive numbers, find the maximum value of f(x) = x^a(1 - x)^b on the interval 0 ≤ x ≤ 1.? Homework Equations f'(x) = x^a . -b(1-x)^(b-1) + (1-x)^b . ax^(a-1) The Attempt at a Solution I know to set f'(x) = 0 but I'm not sure how I'm supposed to tidy up...
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    What Is the Correct Derivative of g(x) = f(x^2)?

    Thanks so much, I don't exactly know what I was doing, either...haha I should have read the question more clearly.
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    Tangent line through arbitrary point?

    Homework Statement Consider the function f(x)=x2+5x+5 and the point A(4,5). Find a formula for the slope of a line passing through point A, and an arbitrary point on the function. Your answer should be a formula in terms of x. slope=? Homework Equations f′(x)=2x+5 The Attempt at...
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    What Is the Correct Derivative of g(x) = f(x^2)?

    1. Let the function f(x) have the property that f′(x)=x+1/x−3. If g(x)=f(x^2) find g′(x). I've tried some steps already, however my answer is still wrong.. g'(x)=? g'(x)=f'(x) at x^2 so, f'(x^2)? (x+1)'(x-3)-(x+1)(x-3)'/(x-3)^2 in the end i get -4/(x-3)^2 and then I plug in x^2...