Recent content by achiu17

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    Which shape provides the largest area for a given perimeter?

    Do you mean A = 2x^2? and thus k = 2/16 = 1/8? so the rectangle and triangle would be the same? and for the circle shape, if I use a semi-circle, then pi*r = P? and thus A = 1/2*pi*r^2 = P^2/(2pi). and k = 1/(2pi) which is greater than 1/8?
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    Which shape provides the largest area for a given perimeter?

    The problem is posted here: http://nrich.maths.org/5673 I tried subbing in values to get the biggest area: perimeter ratio possible. I used an arbitrary value, 12, for perimeter. For the triangle, I took out the hypotenuse and so A = 1/2(x)(y) where x+ y = 12. Its area is biggest when x = y = 6...
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    Calculus problem with average angular velocity

    A wheel has angular position theta = 0 (radians) at t = 0 (seconds). It then rotates with an angular velocity equal to .72t radians/sec. In radians per second, what is the average angular velocity from theta = 4 radians to theta = 9 radians? I got 3 for my answer but I'm not sure if it's right
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    Calculus optimization problem?

    The illumination from a bulb varies directly as the intensity of the light and Intensity varies inversely as the square of the distance from the source. Two bulbs are placed 54 feet apart. The intensity, Ia, of bulb A is 64cd, and the intensity, Ib, of bulb B is 125cd. At how many feet from bulb...
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