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...- rishicomplex
- Post #6
- Forum: Calculus and Beyond Homework Help
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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...- rishicomplex
- Post #4
- Forum: Calculus and Beyond Homework Help
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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- rishicomplex
- Post #4
- Forum: Precalculus Mathematics Homework Help
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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...- rishicomplex
- Post #5
- Forum: Introductory Physics Homework Help
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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- rishicomplex
- Post #3
- Forum: Introductory Physics Homework Help
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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...- rishicomplex
- Post #2
- Forum: Introductory Physics Homework Help
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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...- rishicomplex
- Post #3
- Forum: Introductory Physics Homework Help
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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...- rishicomplex
- Thread
- Doubt Falling Fluids Water
- Replies: 1
- Forum: Introductory Physics Homework Help