Hi there,
How to write the reaction between water and chromium metal under standard (i) acid and (ii) base condition?
Cr + 3H2O ----> Cr(OH)3 + 3e- + 3 H+ (acid condition)
basic solution ???
Please help
1. Homework Statement
2. Homework Equations
3. The Attempt at a Solution
The answer is y(t) = t^{4}+\frac{t^{6}}{30}
Don't know what to do next any advices please
1. Homework Statement
Hi guys, How can sin(∏)cos(ω∏)-cos(∏)sin(ω∏) = sin(ω∏)? please guide me trigonometry identity to apply with this?
2. Homework Equations
3. The Attempt at a Solution
1. Homework Statement
How can I get to that answer?
2. Homework Equations
3. The Attempt at a Solution
I'm stuck dont know how to get to the answer that I got from wolframalpha. there is no solution there unfortunately.
I know how to get to that denominator w^2-1 but I dont know how...
1. Homework Statement
what values does the Fourier series for f(t) converge to if t = 0 and t = 2?
2. Homework Equations
3. The Attempt at a Solution
My answers the red rectangles for the even function t=0 >> 1 and t=2 -->1.5
and odd function t=0 >> 0 and t=2 -->1.5
because at...
1. Homework Statement
How did \frac{1}{2}x come from at k=1?
2. Homework Equations
3. The Attempt at a Solution
because k=1 will make the first term at denominator 2(k-1) = \frac{0}{0}
1. Homework Statement
these two functions will give the same Fourier series? because when I write the graph they look the same?
2. Homework Equations
3. The Attempt at a Solution
in the picture
thank you
1. Homework Statement
2. Homework Equations
3...
1. Homework Statement
Using the limit comparison test to determine convergence or divergence
(1) \sum^{\infty}_{n=1} \frac{(ln(n))^{3}}{n^{3}}
(2) \sum^{\infty}_{n=1} \frac{1}{\sqrt{n} ln(x)}
(3)\sum^{\infty}_{n=1} \frac{(ln(n))^{2}}{n^{\frac{3}{2}}}
2. Homework...
1. Homework Statement
exponential integration formula ∫a^{u} du = \frac {a^{u}}{ln(a)} +c
∫ \left(\frac{2}{3}\right)^{x} dx
2. Homework Equations
\frac{}{}
3. The Attempt at a Solution
∫ \left(\frac{2}{3}\right)^{x} dx
= \frac{\left(2/3 \right)^{x}}{ln(2)/ln(3)} <<< this is my...
1. Homework Statement
Find the limit of this sequence
An = \frac{n^{n}}{(n+3)^{n+1}}
2. Homework Equations
3. The Attempt at a Solution
The answer is 0 but my answer is 1
thank you
1. Homework Statement
find the limit of this sequence
1) An = \frac{\sqrt{n} sin (n! e^{n})}{n+1}
2) An = 4n^{3} sin\frac{1}{n^{3}}
2. Homework Equations
3. The Attempt at a Solution
(1)
|sin n! e^n)| ≤1
|An| ≤ \frac{ \sqrt{n} }{n+1}
|An| ≤ \frac{...
^{}1. Homework Statement
lim _{x\rightarrow\infty} \left(cos\frac{1}{x}\right)^{x}
find the limit using L' Hopital's Rule
2. Homework Equations
3. The Attempt at a Solution
1^{\infty} >> change form to 0/0 by taking ln both sides
ln(y) = lim _{x\rightarrow\infty} x ln...
1. Homework Statement
Solve the integral of differential equation
∫^{t}_{0} y(\tau) d\tau -\acute{y} (t) = t
for t≥0 with y(0)=4
3. The Attempt at a Solution
take laplace both sides
\frac{Y}{s} - sY + 4 = \frac{1}{s^{2}}
Y \frac{1 - s^{2}}{s} =\frac{1}{s^{2}} - 4
Y...
1. Homework Statement
f(t) = cos (pi*t) if 1\leq t <4 and 0 elsewhere
using unit step functions to find Laplace Transform
2. Homework Equations
3. The Attempt at a Solution
I came up with the unit step function f(t) = cos(pi*t) u(t-1) - cos(pi*t) u(t-4)
in order to use the second...
1. Homework Statement
find the inverse laplace transformation of \frac{5s+4}{s^2} e^{-2s}
2. Homework Equations
3. The Attempt at a Solution
I have tried to partial fractions \frac{5s+4}{s^2} and I got \frac{5}{s}+\frac{4}{s^2} and I know that the answer must have u(t-2) because of...