Callisto
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Callisto:
@Yttrium Integration by parts.
\[\int e^x x dx\]
 updated 2 months ago
 12 replies
 1 Medal
Mathematics

Callisto:
How to solve this equation?
\[z^{z^{z^{\cdot ^{\cdot^{\cdot}}}}} = 2\]
…
 updated one month ago
 113 replies
 8 Medals
Mathematics

Callisto:
When you report a message, please also copy the original message you want to report in the comment box. Thank you!
 updated 3 months ago
 14 replies
 17 Medals
Mathematics

Callisto:
Given \(f(x,y) = \sqrt[3]{xy}\), is \(\frac{\partial f}{\partial x}\) continuous at (0,0)?
 updated 7 months ago
 49 replies
 5 Medals
Mathematics

Callisto:
Given \(g(x,y) = \sqrt[3]{xy}\). Show that \(g_x(0,0)\) and \(g_y(0,0)\) exist by supplying values for them
 updated 7 months ago
 53 replies
 1 Medal
Mathematics

Callisto:
If you want to report a message, please also copy and paste the message in the comment box. Thanks!
 updated 9 months ago
 10 replies
 6 Medals
Mathematics

Callisto:
<Inequality>
How to start?
 updated 10 months ago
 15 replies
 4 Medals
Mathematics

Callisto:
<Integration>
\[\int \frac{1+\sin (\ln x)}{1+\cos (\ln x)} dx\]
 updated 10 months ago
 2 replies
 No Medals Yet
Mathematics

Callisto:
Any good reference for preparing for IITJEE which can be accessed online?
 updated 10 months ago
 5 replies
 4 Medals
Mathematics

Callisto:
Choose five numbers from the following such that the sum of the five numbers is 250
26 52 37 17
25 89 23 94…
 updated 11 months ago
 32 replies
 4 Medals
Mathematics

Callisto:
The "Post" button is missing for @Eyad in every subject. Would admins please kindly look into this issue? Thanks in advance!
 updated 10 months ago
 8 replies
 3 Medals
Mathematics

Callisto:
How can we know if the system is oscillating and if it is decaying with only a quadratic equation?
PS:
<1> Do not involve any calculus…
 updated one year ago
 28 replies
 1 Medal
Mathematics

Callisto:
Signals, systems and control.
(Refer to the attachment)
Can anyone explain the three points in the red rectangle? More specifically, why doe…
 updated one year ago
 4 replies
 No Medals Yet
Mathematics

Callisto:
Complex number #1
Find the set of complex number such that \(\frac{z3}{z+3}\)=2…
 updated one year ago
 6 replies
 1 Medal
Mathematics

Callisto:
Consider the system:
x + 2z =1
x+2y+4z =1
…
 updated one year ago
 157 replies
 9 Medals
Mathematics

Callisto:
<Eigenvalues, eigenvectors>
Can we have "different" eigenvectors for the same eigenvalue of a matrix A?
 updated one year ago
 18 replies
 2 Medals
Mathematics

Callisto:
How can I simplify it?
\[ac\bar{d}+bce + b\bar{d}e + ace\]
 updated one year ago
 7 replies
 2 Medals
Mathematics

Callisto:
Boolean algebra
How can I get \(a+b+\bar{a}\) from \(a+b+\bar{a}\bar{b}\)?
 updated one year ago
 32 replies
 4 Medals
Mathematics

Callisto:
In the domain [0, 100], how many solutions are there for the equation \[x^2 \lfloor x \rfloor x = 81.25\]
How to start?
 updated one year ago
 35 replies
 5 Medals
Mathematics

Callisto:
Haven't done circle for long :(
In the figure, a circle S: \(x^2+y^2+6x2y=0\) cuts the axes at the origin O, A and C. A point B lies on the…
 updated one year ago
 41 replies
 6 Medals
Mathematics

Callisto:
Find \(\frac{df}{dx}\) where \[f(x) = \int_{x}^{x^2}\frac{1}{\sqrt{1+t^6}}dt\] for x>0 How to start??
 updated one year ago
 6 replies
 3 Medals
Mathematics

Callisto:
Find the limit:\[\lim_{x \rightarrow \infty} (\frac{x+2}{x1})^x\]
 updated one year ago
 7 replies
 4 Medals
Mathematics

Callisto:
If \(\lim_{x \rightarrow 0^{+}} f(x)=A\) and \(\lim_{x \rightarrow 0^{}} f(x)=B\), find \(\lim_{x \rightarrow 0^{+}} f(x^3x)\)
How to sta…
 updated one year ago
 15 replies
 3 Medals
Mathematics

Callisto:
Wireless communication
Q1) What are the differences between different spectrum?
 updated one year ago
 11 replies
 2 Medals
Mathematics

Callisto:
I would like to ask which one is grammatically correct:
(i) There is no timer for timekeeping.
(ii) There are no timers for timekeeping.
…
 updated one year ago
 4 replies
 No Medals Yet
Mathematics

Callisto:
Question concerning answergiving
 updated one year ago
 50 replies
 16 Medals
Mathematics

Callisto:
@johnsonshelby
 updated 5 months ago
 8 replies
 1 Medal
Mathematics

Callisto:
Deriving kinematic equations
 updated one year ago
 27 replies
 3 Medals
Mathematics

Callisto:
Prove \[\frac{sinx}{x} > \frac{2}{\pi} \ \ , \forall x \in (0, \frac{ \pi }{ 2 })\] How to start?
 updated one year ago
 60 replies
 2 Medals
Mathematics

Callisto:
Given that \(y=x^2cosx\) satisfies \(x^2y^{(2)}  4xy^{(1)} + (x^2 +6)y =0\) , where \( y^{(n)} = \frac{d^ny}{dx^n}\).
(a) Show that when x=…
 updated one year ago
 8 replies
 2 Medals
Mathematics
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