Mathematics
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Ken's user avatar
Ken's user avatar
Ken
  • Member for 3 years, 4 months
  • Last seen more than a week ago
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23
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13
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All Questions Answers
Score Newest
question
6
Solve $\sqrt[4]{x}+\sqrt[4]{x+1}=\sqrt[4]{2x+1}$
Aug 4, 2020
question
5
Let $a,b,c\in\mathbb{Z}$, $1<a<10$, $c$ is a prime number and $f(x)=ax^2+bx+c$. If $f(f(1))=f(f(2))=f(f(3))$, find $f'(f(1))+f(f'(2))+f'(f(3))$
Jan 7, 2021
question
3
Find range of $f(x)=\frac{5}{\sin^2x-6\sin x\cos x+3\cos^2x}$
Jul 13, 2020
question
3
Find $\int_0^4(g\circ f\circ g)(x)\mathrm{d}x$ where $f(x)=\sqrt[3]{x+\sqrt{x^2+1/27}}+\sqrt[3]{x-\sqrt{x^2+1/27}}$, $g(x)=x^3+x+1$
Feb 25, 2021
question
2
Find value of $\dfrac{(1+\tan^2\frac{5\pi}{12})({1-\tan^2\frac{11\pi}{12}})}{\tan\frac{\pi}{12}\tan\frac{17\pi}{12}}$
Jul 5, 2020
question
2
Let $\frac{\tan A}{1-\tan^2A}=\sin^220^\circ-\sin160^\circ\sin220^\circ+\sin^2320^\circ$, find $\tan6A$
Aug 8, 2020
question
2
Find $\lim_{k\to 2}\frac{2^{2^k}-2^{k^2}}{2^k-k^2}$
Jan 7, 2021
question
2
Let $a_0,a_1,\dots,a_n$ and $b_0,b_1,\dots,b_n$ be sequences of real number.
Jan 17, 2021
question
1
Solve $\sqrt{x^2+8x+7}+\sqrt{x^2+3x+2}=\sqrt{6x^2+19x+13}$
Jun 6, 2020
question
1
Find value of $\cot^620^\circ-9\cot^420^\circ+11\cot^220^\circ$
Jun 6, 2020
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5
Derive Torque $\tau = \mathbf{r} \times \mathbf{F}$ from $\tau= I\alpha$

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