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KeyC0de
  • Member for 7 years, 4 months
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6 votes
3 answers
790 views

Explain phrase "For each pair of distinct elements" in reference to a graph.

5 votes
1 answer
34k views

Fourier transform of the Cosine function with Phase Shift?

4 votes
5 answers
319 views

How to find the MacLaurin series of $\frac{1}{1+e^x}$

4 votes
2 answers
252 views

How to find the range of a function $y=\frac{(x-1)(x+4)}{(x-2)(x-3)}$

4 votes
1 answer
279 views

Inverse Fourier transform of $\frac{1-e^{-2\pi ift}}{2\pi if}$

3 votes
2 answers
14k views

Problem with solving equation with Hyperbolic functions $ 2\cosh(2x) - \sinh(2x) = 2 $

3 votes
3 answers
245 views

Factorize Trigonometric Equation: $ 3\sin(x)^2 - 2\sin(x)\cos(x) - \cos(x)^2 = 0 $

3 votes
3 answers
150 views

Solve the equation $8x^3-6x+\sqrt2=0$

3 votes
3 answers
121 views

Let $a,b,x,y\in \mathbb{Z}$, with $ax-by=1$. How to prove that $gcd(a+b,x+y)=1$?

2 votes
3 answers
429 views

For which values of $a\in\mathbb{R} $ the equation $2 \log(x+3)=\log(ax)$ has exactly one root?

2 votes
4 answers
11k views

Common tangents to circle $x^2+y^2=\frac{1}{2}$ and parabola $y^2=4x$

2 votes
1 answer
111 views

Is my proof for $\sqrt{2}$ Irrationality correct?

2 votes
3 answers
67 views

Order of $f(n) = \sqrt[\log n]{n} \cdot n^{\sqrt[\log n]{n}}$

2 votes
3 answers
136 views

Let $a,b\in \mathbb{N^*}$. Prove that $\gcd(a+b,\operatorname{lcm}[a,b])=\gcd(a,b)$. Is my proof correct?

2 votes
2 answers
737 views

Area of the polar figure enclosed by the circle $r=2$ and the cardioid $r=2(1+cos θ)$

2 votes
2 answers
529 views

What is the Inverse Laplace Transform of $F(s)=\frac{2(1-e^{-s})}{s(1-e^{-3s})}$?

2 votes
1 answer
142 views

Calculate the inverse Laplace transform of $\frac{1}{1-e^{-s}}$

2 votes
1 answer
98 views

How to express $15.3\dot{9}$ in fractional form

2 votes
1 answer
94 views

How can calculate this: $ n=\pm\frac{1}{400} \mp\frac{16}{400} $ (multiple Plus-Minus operators)

2 votes
2 answers
260 views

Two apparently different evaluations of $\int \frac{x-1}{9x^2-18x+17}dx$

2 votes
7 answers
168 views

How to solve $\int_{0}^{\frac{π}{2}} \frac{dx}{4\sin^2(x) +5\cos^2(x)} $ $?$

2 votes
3 answers
3k views

How to factor intricate polynomial $ ab^3 - a^3b + a^3c -ac^3 +bc^3 - b^3c $ [duplicate]

2 votes
1 answer
45 views

Problem with finding Maximum value

2 votes
2 answers
226 views

Find Sum of n terms of the Series: $ \frac{1}{1\times2\times3} + \frac{3}{2\times3\times4} + \frac{5}{3\times4\times5} + \cdots $

2 votes
1 answer
3k views

Confusion with Heaviside Step Function and Ramp Function.

1 vote
2 answers
54 views

How to factor $ s^2LC + sRC + 2$

1 vote
2 answers
136 views

Looking for a Great book on Proving, on Mathematical Logic in general

1 vote
2 answers
245 views

Proving Hyperbolic Equation

1 vote
3 answers
84 views

Engineering Calculus Problem

1 vote
2 answers
2k views

Engineering Mathematics Problem with Taylor's Series