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Questions Asked

frx:
If one uses implicit differentiation and get that
\[y^'=\frac{ 2x^3x }{ 2y^3y }\]
Then is the slope of the tangent line at point (x,y) g…
 updated one year ago
 6 replies
 3 Medals
Mathematics

frx:
Find, by induction, the n:th derivitive of
\[\frac{ x ^{2}+2x3 }{ 4x+4 }\]
…
 updated one year ago
 50 replies
 2 Medals
Mathematics

frx:
Is this a correct proof that the derivitive of sinh(x^3+x^2) = (3x^2+2x)cosh(x^3+x^2) ?
 updated one year ago
 8 replies
 2 Medals
Mathematics

frx:
Draw the set S of complex numbers such that
\[z2i<2,,, \Im (z)=1\]
…
 updated one year ago
 23 replies
 1 Medal
Mathematics

frx:
Can someone show me way \[\sqrt{(16i)^{2}+4(7+9i)} = 3+4i\]
 updated one year ago
 13 replies
 1 Medal
Mathematics

frx:
Show that:
\[\left(\begin{matrix}2 \\ 2\end{matrix}\right)+\left(\begin{matrix}3 \\ 2\end{matrix}\right)+\left(\begin{matrix}4 \\ 2\end{mat…
 updated one year ago
 37 replies
 3 Medals
Mathematics

frx:
Solve the complex equation: \[(2+i)z ^{2}+(811i)z525i=0\]
I started to isolate the first term and got:
\[z ^{2}+\frac{ 811i }{ 2+i }z…
 updated one year ago
 29 replies
 2 Medals
Mathematics

frx:
I'm at the moment studying complex numbers and having some troubles converting polar form to a+bi form. The problem is that I can't find the…
 updated one year ago
 7 replies
 1 Medal
Mathematics

frx:
A collection of books has 5 books on mathematics, 7 books on physics and 6 books on chemistry. In how many ways can you combine the collecti…
 updated one year ago
 11 replies
 1 Medal
Mathematics

frx:
The number sequence
\[a _{0},a _{1},a2...\]
is defined by the recursion formula:
…
 updated one year ago
 13 replies
 No Medals Yet
Mathematics

frx:
Which remains can occur when dividing \[n^2\] with 3, let \[n \in \mathbb{N} \]
 updated one year ago
 15 replies
 1 Medal
Mathematics

frx:
Show that:
\[1*3+2*3^{2}+...+n3^{n} =\frac{ (2n1)3^{n+1}+1 }{ 4 }\]
for every number n where \[n \in \mathbb{N}, \mathbb{N}>0\]
…
 updated one year ago
 36 replies
 2 Medals
Mathematics

frx:
Let \[f(x) = x^2  2x +1 \] use the epsilondelta definition to show that: \[\lim_{x \rightarrow 3} f(x) = 4\]
I've come up with this:
…
 updated one year ago
 9 replies
 1 Medal
Mathematics

frx:
Let \[f(x) = x^2  2x +1 \] use the epsilondelta definition to show that: \[\lim_{x \rightarrow 3} f(x) = 4\]
I've come up with this:
…
 updated one year ago
 1 reply
 No Medals Yet
Mathematics

frx:
98x + 133y = 427
Specify particular the answers (x,y) where x>0 and y>0
…
 updated one year ago
 9 replies
 1 Medal
Mathematics
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