### Questions (131)

 12 What is $x$ if $x^{x^x} = {(1/2)}^{\sqrt 2}$? 6 $\sqrt2 x^2 - \sqrt3 x + k = 0$ with solutions $\sin \theta , \cos \theta$ 4 Solve the given limit without L'Hospital 4 a line tangent to curve $y = \frac{x}{2−2x}$ goes through (1, -1) 2 Find center of circle, which tangent to $y=2$ at $(3,2)$ and $y=-x\sqrt 3 +2$

### Reputation (1,339)

 +20 Find center of circle, which tangent to $y=2$ at $(3,2)$ and $y=-x\sqrt 3 +2$ +8 Evaluate $\int x(1-x)^n dx$ from 0 to 1 +10 Evaluate the integral $\int (\sin x + 2\cos x)^5 dx$ +10 How to solve matrix polynomial, that is $A^{15}$

 0 Find the radius of circle which touches parabola and $x$-axis 0 Calculate local maximum and minimum of $f(x)=(2+\sin x)(5-\sin x)$ 0 Given $\cos (\theta)$ and $\sin (\theta)$, find $2\theta$ -1 Triangle inscribed inside a circle: prove that $abc = 4 \times area \times R$

### Tags (61)

 0 algebra-precalculus × 37 0 inequality × 8 0 trigonometry × 29 0 maxima-minima × 7 0 circles × 11 0 vectors × 7 0 triangles × 10 0 integration × 7 0 limits × 9 0 derivatives × 6

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