Huang
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336
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 4 Finding all functions $f$ satisfying $f'(t)=f(t)+\int_a^bf(t)dt$ 2 Circle Geometry Questions 2 Prove that the equation $x^{10000} + x^{100} - 1 = 0$ has a solution with $0 < x < 1$ 2 How to find center of an arc given start point, end point, radius, and arc direction? 1 Any idea how to solve this equation?

### Reputation (336)

 +20 Circle Geometry Questions +10 How to find center of an arc given start point, end point, radius, and arc direction? +10 Prove that the equation $x^{10000} + x^{100} - 1 = 0$ has a solution with $0 < x < 1$ -2 IF $f(x) = \int_{0}^{\phi (x)} g(t) dt$, How could we find $f'(x)$?

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### Tags (9)

 5 logarithms × 2 4 differential-equations 4 calculus × 3 3 real-analysis × 2 4 circle × 2 2 algebra-precalculus 4 geometry × 2 2 polynomials 4 integral-equations

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