User Skdmg - Mathematics Stack Exchange

8 votes

3 answers

155 views

Find the set of values of $\alpha$ so that $f(x)=\dfrac{\alpha x^2+6x-8}{\alpha+6x-8x^2}$ is one one.

asked Apr 13 at 5:56

6 votes

1 answer

105 views

Finding $\left[\left(\frac{A^3-B^3}{B^3}\right)+\left(\frac{A^4+B^4}{B^4}\right)\right]$

asked Apr 21 at 8:57

5 votes

2 answers

270 views

Prove that $\lim_ {x\to \infty}\min(|x-\sqrt{m^2+2n^2}|)=0$

asked Mar 19 at 18:06

3 votes

0 answers

61 views

A number $x$ containing $1999$ digits and is divisible by $9$; if we add all digits of $x$ we get $y$ and as same adding digits of $y$ we get $z$

asked Mar 17 at 15:01

3 votes

1 answer

60 views

$(ax+by+cz)^2\le (a^2+b^2+c^2)(x^2+y^2+z^2)$ -Prove using Complex numbers

asked Apr 9 at 10:24

2 votes

0 answers

76 views

The Area bounded by $y=e^x, 2y+2k-2kx-1-e^2=0$ is minimum for $ k=k_1$

asked Mar 14 at 14:53

2 votes

4 answers

172 views

Finding value of $I=\int^{\pi\over2}_0 \frac{\sin(nx)}{\sin{x}} \ \mathrm{d}x$

asked Mar 17 at 16:31

1 vote

1 answer

52 views

How to find the number of possible planes equidistant from $5$ points $3$ of which are collinear.

asked Mar 21 at 18:35

1 vote

2 answers

259 views

Find the number of solution(s) of equation $f(x)=2^x-x^2+x+\cos x$

asked Mar 25 at 15:49

0 votes

1 answer

79 views

Find the number of solutions of $2^x+3^x+4^x-5^x=0$ (without using graphical calculator)

asked Mar 24 at 8:11

-2 votes

1 answer

77 views

Ambiguity in proving the derivative of $e^x$. [closed]

asked Mar 28 at 7:59

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11 Questions

Find the set of values of $\alpha$ so that $f(x)=\dfrac{\alpha x^2+6x-8}{\alpha+6x-8x^2}$ is one one.

Finding $\left[\left(\frac{A^3-B^3}{B^3}\right)+\left(\frac{A^4+B^4}{B^4}\right)\right]$

Prove that $\lim_ {x\to \infty}\min(|x-\sqrt{m^2+2n^2}|)=0$

A number $x$ containing $1999$ digits and is divisible by $9$; if we add all digits of $x$ we get $y$ and as same adding digits of $y$ we get $z$

$(ax+by+cz)^2\le (a^2+b^2+c^2)(x^2+y^2+z^2)$ -Prove using Complex numbers

The Area bounded by $y=e^x, 2y+2k-2kx-1-e^2=0$ is minimum for $ k=k_1$

Finding value of $I=\int^{\pi\over2}_0 \frac{\sin(nx)}{\sin{x}} \ \mathrm{d}x$

How to find the number of possible planes equidistant from $5$ points $3$ of which are collinear.

Find the number of solution(s) of equation $f(x)=2^x-x^2+x+\cos x$

Find the number of solutions of $2^x+3^x+4^x-5^x=0$ (without using graphical calculator)

Ambiguity in proving the derivative of $e^x$. [closed]