Callisto
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Callisto:
Group Title
@Yttrium Integration by parts.
\[\int e^x x dx\]
 updated 9 months ago
 12 replies
 1 Medal
Mathematics

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

Callisto:
Group Title
When you report a message, please also copy the original message you want to report in the comment box. Thank you!
 updated 10 months ago
 14 replies
 17 Medals
Mathematics

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

Callisto:
Group Title
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 one year ago
 53 replies
 1 Medal
Mathematics

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

Callisto:
Group Title
<Inequality>
How to start?
 updated one year ago
 15 replies
 4 Medals
Mathematics

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

Callisto:
Group Title
Any good reference for preparing for IITJEE which can be accessed online?
 updated one year ago
 5 replies
 4 Medals
Mathematics

Callisto:
Group Title
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 one year ago
 32 replies
 4 Medals
Mathematics

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

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

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

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

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

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

Callisto:
Group Title
@johnsonshelby
 updated one year ago
 8 replies
 1 Medal
Mathematics

Callisto:
Group Title
Deriving kinematic equations
 updated 2 years ago
 27 replies
 3 Medals
Mathematics

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

Callisto:
Group Title
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 2 years ago
 8 replies
 2 Medals
Mathematics
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