Callisto
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Questions Asked

Callisto:
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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

Callisto:
Group Title
How do the plane polar coordinates work?
 updated 2 years ago
 113 replies
 1 Medal
Mathematics

Callisto:
Group Title
@nincompoop Your question:
Balance the equation:
\[Fe(CN)_3+SnCl_2→FeCl_2+Sn(CN)_4\]
 updated 2 years ago
 3 replies
 1 Medal
Mathematics

Callisto:
Group Title
Which of the following statements concerning the manufacture of town gas in Hong Kong is/are correct?
(1)Town gas is produced from coal.…
 updated 2 years ago
 97 replies
 1 Medal
Mathematics

Callisto:
Group Title
I don't know if I can post it here.
But thanks everyone who has helped me, especially in 56 month ago. Well... I meant the questions I had …
 updated 2 years ago
 2 replies
 3 Medals
Mathematics

Callisto:
Group Title
Complex number.
For the exponential form of a complex number, \(a + bi = e^{\log \sqrt{a^2 + b^2} + i (tan^{1}\frac{b}{a})}\), why is it us…
 updated 2 years ago
 38 replies
 4 Medals
Mathematics

Callisto:
Group Title
Is... it a bug?
 updated 2 years ago
 7 replies
 2 Medals
Mathematics

Callisto:
Group Title
How to type the following??
 updated 2 years ago
 7 replies
 4 Medals
Mathematics

Callisto:
Group Title
Not so nice....
 updated 2 years ago
 18 replies
 1 Medal
Mathematics

Callisto:
Group Title
Just for practice
 updated one year ago
 8 replies
 4 Medals
Mathematics

Callisto:
Group Title
What is the difference between Journal and Gazette? What is the difference if the government publishes something on Journal and gazette?
 updated 2 years ago
 11 replies
 3 Medals
Mathematics

Callisto:
Group Title
Is \(e^{i \pi} +1 = 0\) still the most beautiful equation in the world?
 updated 2 years ago
 3 replies
 1 Medal
Mathematics

Callisto:
Group Title
Trigo. question #2
Suppose in ΔABC, a = ksinA, b=ksinB and c=ksinC where k is a real constant with k>0. By using compound angle formulas, pr…
 updated 2 years ago
 2 replies
 1 Medal
Mathematics

Callisto:
Group Title
Trigo. question #1
M2: Ex. 3.6 Q25
In ΔABC, if sinA = cosBcosC, prove that ΔABC is a rightangled triangle.
 updated 2 years ago
 4 replies
 2 Medals
Mathematics

Callisto:
Group Title
If I remember correctly, similar problem has been reported....
 updated 2 years ago
 9 replies
 2 Medals
Mathematics

Callisto:
Group Title
Tutor question #3
Simplify:
\[\sqrt{5\sqrt{21}}\]…
 updated 2 years ago
 31 replies
 4 Medals
Mathematics

Callisto:
Group Title
Tutor question #2
Factor: x^4 7x^2 +1
(conditions: pen, paper, no calculator, done in 2 minutes)…
 updated 2 years ago
 75 replies
 5 Medals
Mathematics

Callisto:
Group Title
Tutor question #1
Simplify the following:
\[\frac{1}{\sqrt2 + \sqrt3 + \sqrt5}\]…
 updated 2 years ago
 27 replies
 5 Medals
Mathematics

Callisto:
Group Title
How to distinguish combinatorics from probability?
*/
 updated 2 years ago
 4 replies
 1 Medal
Mathematics

Callisto:
Group Title
Indices, Surds and Numeral System #1
Question 35a
Can I simplify it in this way?…
 updated 2 years ago
 5 replies
 1 Medal
Mathematics

Callisto:
Group Title
Sorry another problems.. (probably have been reported before)
.Sam. is offline (in both fan list and homepage) but is viewing a question..
 updated 2 years ago
 16 replies
 8 Medals
Mathematics

Callisto:
Group Title
Chrome is not working for me right now..
 updated 2 years ago
 25 replies
 5 Medals
Mathematics

Callisto:
Group Title
Formulas and Identities #1
Question 31
Consider the identity \(x^{99}1 ≡ (x^21)P(x) + Cx+D\), where P(x) is a polynomial in x. Find the va…
 updated 2 years ago
 10 replies
 3 Medals
Mathematics

Callisto:
Group Title
Transit of Venus leaflet
less than 10 second question 
Transit of Venus is a rare astronomical phenomenon. It has or will occur in the fol…
 updated 2 years ago
 8 replies
 2 Medals
Mathematics

Callisto:
Group Title
Polynomials #1
Question 41
It is given that f(3x) = 54x^3 27x^2 +px +q. When f(x) is divided by (x3), the remainder is 42.…
 updated 2 years ago
 43 replies
 4 Medals
Mathematics

Callisto:
Group Title
Geometry problem #2
*Old rule: no calculator!*
 updated 2 years ago
 5 replies
 3 Medals
Mathematics

Callisto:
Group Title
Geometry problem #1
 updated 2 years ago
 6 replies
 2 Medals
Mathematics

Callisto:
Group Title
Uncategorised question #4
Let \[x= 0.\dot{1}\dot{7} + 0.0\dot{1}\dot{7} + 0.00\dot{1}\dot{7} +...\], find the value of x.
* there are dots …
 updated 2 years ago
 10 replies
 4 Medals
Mathematics

Callisto:
Group Title
Uncategorised question #3
The total cost for 88 adult tickets was \(\$*293*\). Because the printing machine was not functioning well, the fi…
 updated 2 years ago
 22 replies
 5 Medals
Mathematics

Callisto:
Group Title
Uncategorised question #2
Let \[\large y=\log_{1400}\sqrt{2} + \log_{1400}\sqrt[3]{5} +\log_{1400} \sqrt[6]{7}\], find the value of \(y\).…
 updated 2 years ago
 18 replies
 5 Medals
Mathematics
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