hjpotter92
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 16 Calculate:$y'$ for $y = x^{x^{x^{x^{x^{.^{.^{.^{\infty}}}}}}}}$ and $y = \sqrt{x+\sqrt{x+\sqrt{x+\sqrt{x+…\infty}}}}$ 14 the unit digit for $3^{100}\cdot 37^{98}$ 8 Why is a full circle 360° degrees? 7 How to prove: $S=\frac{4}{3}\sqrt{ m(m-m_a)(m-m_b)(m-m_c)}$ 6 Formula for $\sum _{i=1}^n (n+1-i) (n-i)$

### Reputation (2,233)

 +20 Why is a full circle 360° degrees? +10 Number of elements in a ring such that $x^2=1$ +10 Use chain rule to express $f_x$ and $f_y$ in terms of $f_\xi$ and $f_\eta$? +10 Prove $x + \frac{1}{x} \geq 2$ for $x>0$.

### Questions (7)

 4 Perfect squares, cubes and fifth powers $\leq 10^8$ 3 Is it necessary to state that $y_i \leq 1$ 3 Why is my procedure misleading? 2 Proving or disproving inequality $\frac{xy}{z} + \frac{yz}{x} + \frac{zx}{y} \ge x + y + z$ [duplicate] 1 Solving the differential equation: $x = 11 (y')^{10} \cdot y''$

### Tags (56)

 34 calculus × 16 13 differential-equations × 6 23 derivatives × 4 9 summation × 2 15 geometry × 7 8 soft-question 15 elementary-number-theory × 2 7 sequences-and-series × 4 13 algebra-precalculus × 9 7 notation × 3

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