Homework Statement
http://img10.imageshack.us/img10/3390/55486934.jpg [Broken]
Homework Equations
This is what I was thinking: tan−1(∏x)−tan−1(x)=∫^{g(x)}_{f(x)}h(y)dy
The Attempt at a Solution
I don't really understand how to do this question
Quick plz! T(A) = Tr(A)
Homework Statement
Let T : M22 define as T(A) = Tr(A). Show that T is a linear transformation
and find the dimension of ker T.
Homework Equations
The Attempt at a Solution
what is Tr(A)?
is it trace(A), or rT(A) , r is a real number?
Homework Statement
Find a basis of U, the subspace of P3
U = {p(x) in P3 | p(7) = 0, p(5) = 0}
Homework Equations
The Attempt at a Solution
ax3+bx2+cx+d
p(7)=343a+49b+7c+d=0
p(5)=125a+25b+5c+d=0
d=-343a-49b-7c
d=-125a-25b-5c
ax3+bx2+cx+{(d+d)/2} -->{(d+d)/2}=2d/2=d...
quick plz..diagonalize matrix (row reduce)
Homework Statement
http://www.math4all.in/public_html/linear%20algebra/chapter10.1.html
10.1.5 Examples: (ii)
this part:
-----------------------------------------------------------------------------------------
are both eigenvector for the...
Homework Statement
http://en.wikibooks.org/wiki/Linear_Algebra/Vector_Spaces_and_Linear_Systems/Solutions
Problem 14
Can answer be (3,1,2)T (2,0,2)T?
also, can I reduce the matrix without transpose?
thanks
Homework Equations
The Attempt at a Solution
Homework Statement
[PLAIN]http://img683.imageshack.us/img683/4530/unledkw.jpg [Broken]
can someone please explain why it is not closed under addition???
My textbook did not explain very well, but I understand this can be zero vector and it is closed under scalar multiplication.
thanks...
Homework Statement
lim x->0
5x(cos 9x-1)/sin 5x-5x
Homework Equations
The Attempt at a Solution
answer is 243/25
The derivative of sin 5x-5x is always 0,
dunno know how to do it...
Homework Statement
An object of temperature 60oF is placed in a medium maintained at a constant temperature moF. At the end of 5 mins thetemperature of the object is 45 oF and after another 5 mins its temperature is 36 oF.
Find m
Homework Equations
y=cekt+m
The Attempt at a...
Homework Statement
(2x-10+e)^(y+8)=e^(x-6)
value of dy/dx at the point, (5,-9)
Homework Equations
The Attempt at a Solution
(y+8)ln(2x-10+e)=x-6
y' ln(2x-10+e)+(y+8)(2+e)/(2x-10+e)=1
ln(2*5-10+e)=1
y'+(-9+8)(2+e)/e=1
y'-(2+e)/e=1
y'=1+(2+e)/e
but the answer is (2+e)/e, I don't know...
Homework Statement
the system have infintely solutions when the bottom row is 0,0,0,0, what If the bottom row of the matrix is 0,0,1,1
like
X,Y,Z,
1,0,2,3
0,1,2,3
0,0,1,1
can i still say
the system have infinitly solution?
Homework Equations
The Attempt at a Solution
Homework Statement
Suppose that a country is divided into three regions: Upper, Lower and Central. Each year, one-quarter of the residents of the Upper region move to the Lower region and the remaining residents stay in the Upper region. One-half of the residents of the Lower region move to...
Homework Statement
Can anyone tell me which one is right (LIPET or LIATE)?
Also, in trig, which one come first? sin,cos or tan?
thx
Homework Equations
The Attempt at a Solution
Homework Statement
\int(2x^2+1)^7
Homework Equations
The Attempt at a Solution
u=2x^2+1
du=4xdx
u7 (1/4x)du
I am stuck... I don't know what to do next...
Homework Statement
http://img23.imageshack.us/img23/9366/95631341.jpg [Broken]
Homework Equations
The Attempt at a Solution
If the dot (-1,3) is gone, does the limit of x->-1 exist??
Homework Statement
http://img23.imageshack.us/img23/9366/95631341.jpg [Broken]
http://img341.imageshack.us/img341/3416/37907619.jpg [Broken]
lim f(x)
x->1\infty
I don't know how to do the first one..
ty!
Homework Equations
The Attempt at a Solution
Homework Statement
if the pH is 9.72 for the following 2 bases. what is the initial conc. of the bases
a)LiOH
b)HCN
the answer for a is 10^-4.28, but i don't know how to set up an ice chart
Homework Equations
The Attempt at a Solution
Homework Statement
The practical limit to ages that can be determined by radiocarbon dating is about 41000 yr. in a 41000 yr old sample, what percentage of the original carbon-14 remains?
Homework Equations
The Attempt at a Solution
I don't know where to start....
Homework Statement
Energy is required to separate a nucleus into its constituent nucleons. this energy is the total binding energy of the nucleus. for example, separating nitrogen-14 into nitrogen-13 and a neutron takes an energy equal to the binding energy of the neutron.
use the following...
How to determine "b" in a conic hyperboal graph
Homework Statement
http://img143.imageshack.us/img143/3391/91667159.jpg [Broken]
(x-1)2/22 - y2/b2 =1
I can't find any good point for me to solve b..I don't know what to do..
Is there any way to solve b without using the point?
Homework...
Homework Statement
If you were given 4 cookies, each emitter different ray
1)Alpha, 2)Beta,3) Gamma , 4)neutron
You have to make decision of the following:
a)eat one of the cookies
b)dispose one of the cookies at storage facility called WHIP
c)put one of the cookies in your pocket...
Homework Statement
Determine the wavelengths of photons given off for the 3rd line in the Lyman series , the 2nd line in the Balmer series, and the 1st line in the Paschen series.
The question is weird,
I don't understand what the "line" mean...
"1st line in the Paschen series " Is it mean ni...
Homework Statement
CoCl4 2-+6H2O --> Co(H2O)62++4Cl-+energy
If I add silver nitrate, which direction does it shift?
I think it is no effect, because adding solid does not affect the equilibrium?... Am i right?
Btw, what happen if i add aqueous to X gas --> Z gas + Y gas, vise verse...
or gas...
Homework Statement
http://img163.imageshack.us/img163/7010/78614537.jpg [Broken]
o= student
The position of the teacher is (d) from the mirror.
mirror is 6m
a) Calculate the maximum distance(d) of the corridor from the mirror
b) Trace the diagram. Draw the ray diagram to support your...
Homework Statement
Solve 2sinx+1=tanx 0\leqx\prec2 pi
Homework Equations
The Attempt at a Solution
I tried to put it in this way
2sinx+1=tanx
2sinx+1=(sinx/cosx)
2sinxcosx+cosx-sinx=0
sin2x+cosx-sinx=0
I don't know what to do next, I am stuck, plz help!
Thanks
Btw , can anyone show me the...
Homework Statement
In the lab, i saw that when Mg(s) attach with Fe(s) nail in a yellow solution( probably indicator), after one day, the brown substance and bubble are formed.
My net ionic equation is
SOA: O2(g) +2H2O(l) +4e -->4OH-
SRA: Mg(s) --> Mg2+ +2e
NIE: O2(g) +2H2O(l) +2Mg(s)-->4OH-...
Homework Statement
Determine the mass of sodium deposited at the cathode of a molten NaCl(l) electrolytic cell if 10.0 A flow through the cell for 2.00h.
Homework Equations
The Attempt at a Solution
For the mole ratio,
Na+ +e --> Na
2Cl- --> Cl2 + 2e
Should I balance the...
Homework Statement
What is the domain for tan(x/b)?
Homework Equations
The Attempt at a Solution
tan(x) domain is all real number , except x=\pi/2+n pi nEI
tan(x/b)will be bpi/2+bnpi? Is there any form i can write?
Am i right? Thanks