Recent content by rishicomplex

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    Show square inscribed in circle has maximum area

    it does! the result for area of a general quadrilateral in a circle comes to be (assuming radius r and angles A, B, C, D r2/2[sin(A-B) + sin(B-C) + sin(C-D) + sin(D-A)] the maximum value of which (2r2) is attained only when each of the angular differences is 90 degrees which results in a square...
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    Show square inscribed in circle has maximum area

    Real easy to prove with coordinate geometry, but you need to know the parametric equation of a circle and the area of a quadrilateral. Any point on a circle (with origin as centre and radius r) is (r cosx, r sinx) and area of a quadrilateral with vertices (x1, y1), (x2, y2), (x3, y3), (x4...
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    How Can You Find a Closed Form for the Series x + 2x² + 3x³ + 4x⁴ + ...?

    this sort of series is called an arithmetic geometric progression (AGP) or something...like someone said, multiply by x and then subtract to get a simple geometric progression...in this case you could even divide by x
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    Capacitors in series and electric potential

    There is no potential difference. Note that potential depends on energy. The question is, how much work must a charge do to move from one plate to the other? It does no work, as the resistance of the wire is negligible. Thus, they must be at the same potential. The fact that there is negative...
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    Capacitor Question: Get Help & Answers Now

    just write i=dq/dt and then solve the differential equations is the answer to the current question one minute? or some other multiple of 60 seconds...i think i may have screwed up the units
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    Help with frame and reference problem

    is the answer about 97.34? I guess you just made the triangle wrong its a simple vector addition...
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    Velocity and Acceleration of motorcycle

    I solved this in a hurry and I haven't got integer answers (perhaps i made an error in simplification), but approximately, ans to b is 1.7 m/s2 and ans to c is about 35 seconds you just have to apply those equations... let the variables be a => acceleration without the nitro boost and...
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    Fluids doubt water falling from a tap

    Fluids doubt...water falling from a tap When water falls from a tap its area of cross-section is supposed to decrease progressively in accordance with the equation of continuity A1V1=A2V2 in order to maintain the conservation of mass. But using another line of thought, every particle in a...
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