find

Monday, May 4, 2009

Find the Equations of all lines tangent to Y = x^2 -6......?

Find the Equations of all lines tangent to Y = x^2 - 6 that pass through the point (4,6)

Some help on this one while figuring it out. The answer is not

y = 8x - 26.

We can't just plug in 4 as x to find the slope. As the line tangential to the curve at 4 is not passing throught (4,6).

My thoughts are we need to find where the tangential line would cross the curve. then find the slope and then the equation. i don't know how this would work.

I would like for you to show work. Cuz I can probably guess and check to find the answer. I just need to know how to get there with actual work.

Find the Equations of all lines tangent to Y = x^2 -6......?
Hi,

These tangent lines are y = 12x - 42 and y = 4x - 10.

If f(x) = x² - 6, then f"(x) = 2x. This means that 2x is the slope of a tangent line when "x" is the coordinate of the point on the graph (x,x² - 6).

Since slope = (y2 - y1)/(x2 - x1):

..........x² - 6 - 6

2x = --------------

............x - 4

This simplifies to:

2x(x - 4) = x² - 12

2x² - 8x = x² - 12

x² - 8x + 12 = 0

(x - 6)(x - 2) = 0

x = 6 or x = 2 are the two x values on the graph of y = x² - 6 that have tangents going through (4,6).

If x = 6, then the slope of 2x is 2(6) = 12. The equation in point-slope form would be y - 6 = 12(x - 4).

y - 6 = 12(x - 4)

y - 6 = 12x - 48

y = 12x - 42 %26lt;== FIRST TANGENT

If x = 2, then the slope of 2x is 2(2) = 4. The equation in point-slope form would be y - 6 = 4(x - 4).

y - 6 = 4(x - 4)

y - 6 = 4x - 16

y = 4x - 10 %26lt;== SECOND TANGENT

I hope that helps!! :-)
Reply:Y = x^2 - 6 that pass through the point (4,6)

dy/dx = 2x

at x = 4, dy/dx = 8

m = 8, m* = -1/8 since the shortest distance formula gives us this idea.

y - 6 = -1/8 (x - 4)

y - 6 = -1/8x + 0.5

y = -1/8x + 6.5

y = -1/8x +6.5
Reply:In order to get the equation for the tangent line at (4, 6), you need the slope of the curve at (4, 6). So take the derivative of the equation to get,

y' = 2x

From this we see the slope is 2.

So the equation for the line is going to be y = 2x +b. Plug in the values (4,6) to find out what b is. It is -2. So the equation you are looking for is

y = 2x - 2.

Find the population after t hours.?

A cell of some bacteria divides into two cells every 10 minutes.The initial population is 4 bacteria. Hint: The calculation will be easier if you let the unit of time be 10 minutes, so that one hour is (60/10) units of time.

a. Find the population after t hours.

b. Find the population after 4 hours.

c. Find the population after 16 hours.

2.A bacteria culture starts with 700 bacteria and grows at a rate propotional to its size.After 2 hours there are 1400 bacteria.

a. Find the population after t hours

b. Find the population after 5 hours.

c. When will the population reach 1850 ?

Find the population after t hours.?
1) P = 4*2^t, where t=1 means 10 minutes, t=2 means 20 min.

Check: at t=0, there were 4. After 10 minutes, there will be 4*2 = 8, after 20 minutes there will be 4*2^2 = 16.

a) pop after T hours means 6 units of time*T or

P = 4*2^(6T), T in hours.

b) Pop after 4 hours means

P = 4*2^(24).

Do the rest for this problem.

2.A bacteria culture starts with 700 bacteria and grows at a rate propotional to its size.After 2 hours there are 1400 bacteria.

dP/dt = aP, separate

dP/P = a dt, integrate

ln(P) = at + C, so

e^(at+C) = P or

Ce^(at) = P. At t=0, there were 700, so C = 700, or

700 e^(at) = P. at t = 2 hours, we have 1400, so

700 e^(2a) = 1400, div by 700 or

e^(2a) = 2, take ln of both sides, or

2a = ln(2), so

a = ln(2)/2. So formula is

700 e^(t*ln(2)/2) = P.

Do the rest.

Find files then copy to folder?

I need a .bat file to find files on hard drive and copy the found files to a folder.

For example, I want all the files on hard drive d: that are of file type .jpg and copy them to folder found on hard drive e:

Find jpg on hard drive d: and copy them to e:\found

I want to use good ole fashion cmd (dos) via windows xp

Find files then copy to folder?
It can definitely be done and I can give you some pointers here....you can find all the jpg files by this batch file:

@echo off

d:

dir *.jpg /s

Now the tricky part is to somehow pipe the output to the copy/xcopy command. I will let you do the research on that ;)
Reply:I've never heard of that being done trough command prompt without doing single files or directories together, regardless of file format. If you're running XP, open up Windows Explorer, click search on the top, select your hard drive, and search for any file ending with .jpg. Then, when the search results finish, copy them to an already pre-made folder.

teeth bleaching

Find the factors for the following four-term polynomial, jm + jn + km + kn.?

2. Find the factors for the following four-term polynomial, ab + 2a + 3b + 6.

3. Find the factors for the following four-term polynomial, x^2 + xy - 2x - 2y.

4. Find the factors for the following four-term polynomial, mn - 4m - 5n + 20.

5. Find the factors for the following four-term polynomial, ab + 4 + a + 4b.

6. Find the factors for the following four-term polynomial, y^2 + 10z - 10y - yz.

Thank you very much.

Find the factors for the following four-term polynomial, jm + jn + km + kn.?
2. Find the factors for the following four-term polynomial, ab + 2a + 3b + 6. = a(b+2) + 3(b+2) = (a+3)(b+2)

3. Find the factors for the following four-term polynomial, x^2 + xy - 2x - 2y.= x(x+y) - 2(x+y) = (x-2)(x+y)

Do you now get it? Try the others similarly

4. Find the factors for the following four-term polynomial, mn - 4m - 5n + 20.

5. Find the factors for the following four-term polynomial, ab + 4 + a + 4b.

6. Find the factors for the following four-term polynomial, y^2 + 10z - 10y - yz.

Thank you very much.

2 minutes ago - 3 days left to answer
Reply:j(m+n)+k(m+n)=(m+n)(j+k)

just take the common multiples out and ull get d answers dese r really easy ones....
Reply:jm + jn + km + kn

= j(m+n) + k(m+n)

=(j+k)(m+n)

#2, #3 and #4 are exactly the same idea

#5 just needs to be reordered

ab + 4 + a + 4b

=ab + a + 4b + 4

=a(b+1)+4(b+1)

=(a+4)(b+1)

as does #6

y^2 + 10z - 10y - yz

=y^2 - 10y - yz + 10z

=y(y-10) - z(y-10) [note how the negative is factored out]

=(y-z)(y-10)

The "find on this page" utility in my internet explorer has got corrupted. How to make it OK?

The "find"/"find on this page" utility of internet explorer in my PC has got corrupted. The "find"/"find next" buttons etc. have got disabled and am not able to find occurrence of any word in the web page. I have tried to reload internet explorer and even tried to install the latest version of internet explorer but of no use. Consequently, I am compelled to use Netscape Navigator. The find on this page utility of netscape navigator is working well. Can anybody help me in repairing the find utility?

The "find on this page" utility in my internet explorer has got corrupted. How to make it OK?
Try to do a system restore , to do a system restore

click on the start

click on the run

in the open box type msconfig

click on ok

system configuration window will open

at the bottom u can see launch system restore, click on that

then another window will open, click on restore my computer to a earlier point and then on the next

a calander will appear, click on any bold date in the calander before the date when ur computer was working fine,

click on next , next , it will automatically restart and restore, u will not loose any data

u will be good to go

* * * dont try upgrading the IE 7, it has got lots of bugs , microsoft is just fixing it, ie 7 works better on win xp service pack 2 , it is designed for vista,

else what u can do is

clik on the start button , click on the control panel , click on add or remove programs , then click on the windows components and then uncheck on internet explorer and follow the wizard and then click on next next and at the end restart the computer, after restating it insert the windows xp operating system cd in the top cd drive (if u have two cd drive ).................... else in the one u have u can insert the cd ,

clik on the start button , click on the control panel , click on add or remove programs , then click on the windows components and then put check on internet explorer and follow the wizard and then click on next next and restart the computer,

this will fix the problem
Reply:www.firefox.com :)

Find parallel line to an equation when given pts, I've done an equation but I'm not sure if I did it correctly

I'm not really understanding how to find parallel lines (and perpindicular, but since the only difference is instead of using M I use -1/M, so if I find one I find the other)

Could someone please have a look at this, and tell me if I'm doing this right, or what I'm doing wrong (The answer looks feasable, but I have no way of checking)

Find the equation of the line parallel to 2x + 3y = 11 going through (2, 1)

Rearrange 2x + 3y = 11 to find the gradient

3y = 11 – 2x

To divide the 3y by 3 (to find y) I divided both of the other equations by 3.

y = -2/3 * x + 11/3

Because y=gradient (m)* x+c the gradient is -2/3.

Parallel lines have the same gradient, and I know the new line goes through point (2, -1) so I can put this into the above equation:

-1 = -2/3 * 2 + c

-1 = 4/3 + c

-1--4/3 = 1/3

so c = 1/3

Substituted:

y=-2/3 x + 1/3

Find parallel line to an equation when given pts, I've done an equation but I'm not sure if I did it correctly
If the 'going thru' point is (2, -1), then your equation is correct.

However, you were given point (2, 1), in which case the

c = 7/3

y = - 2/3x + 7/3
Reply:...i cant be of much help because i dont remember the stuff very well.....but a little trick i used to use was graphing them on a graphing calculator.....if the lines look close to parallel or perpendicular, you'r probably right...
Reply:yes im pretty sure you did that correctly...i did it myself and got the same thing and then i checked it on a graphing calculator.

Can you find the c?

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OOOOOOOOOOOOOOOOOOOOOOOOOO

OOOOOOOOOOOOOOOOOOOOOOOOOO

OOOOOOOOOOOOOOOOOOOOOOOOOO

OOOOOOOOOOOOOOOOOOOOOOOOOO

OOOOOOOOOOOOOOOOOOOOOOOOOO

OOOOOOOOOOOOOOOOOOOOOOOOOO

OOOOOOOOOOOOOOOOOOOOOOOOOO

OOOOOOOOOOOOOOOOOOOOOOOOOO

OOOOOOOOOOOOOOOOOOOOOOOOOO

OOOOOOOOOOOOOOOOOOOOOOOOOO

OOOOOOOOOOCOOOOOOOOOOOOOOO

OOOOOOOOOOOOOOOOOOOOOOOOOO

OOOOOOOOOOOOOOOOOOOOOOOOOO

OOOOOOOOOOOOOOOOOOOOOOOOOO

OOOOOOOOOOOOOOOOOOOOOOOOOO

OOOOOOOOOOOOOOOOOOOOOOOOOO

OOOOOOOOOOOOOOOOOOOOOOOOOO

OOOOOOOOOOOOOOOOOOOOOOOOOO

Once u found the C..........

Find the 1!

IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII...

IIIIII

IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII...

IIIIII

IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII...

IIIIII

IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII...

IIIIII

IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII...

IIIIII

IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII...

IIIIII

IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII...

IIIIII

IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII...

IIIIII

IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII...

I1III

IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII...

IIIIII

IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII...

IIIIII

Once you found the 1..............

Find the 6!

9999999999999999999999999999999999

9999999999999999999999999999999999

9999999999999999999999999999999999

9999999999999999999999999999999999

9999999999999999999999999999999999

9999999999999999999999999999999999

9999699999999999999999999999999999

9999999999999999999999999999999999

9999999999999999999999999999999999

9999999999999999999999999999999999

9999999999999999999999999999999999

9999999999999999999999999999999999

once youve found the 6...

Find the N! (it's hard!!)

MMMMMMMMMMMMM

MMMMMMMMMMMMM

MMMMMMMMMMMMM

MMMMMMMNMMMMM

MMMMMMMMMMMMM

MMMMMMMMMMMMN

MMMMMMMMMMMMM

MMMMMMMMMMMMM

MMMMMMMMMMMMM

MMMMMMMMMMMMM

once you've found the N...

Find the Q...

OOOOOOOOOOOOOOOOOOOOOOOOOOO

OOOOOOOOOOOOOOOOOOOOOOOOOOO

OOOOOOOOOOOOOOOOOOOOOOOOOOO

OOOOOOOOOOOOOOOOOOOOOOOOOOO

OOOOOOOOOOQOOOOOOOOOOOOOOOO

OOOOOOOOOOOOOOOOOOOOOOOOOOO

OOOOOOOOOOOOOOOOOOOOOOOOOOO

OOOOOOOOOOOOOOOOOOOOOOOOOOO

OOOOOOOOOOOOOOOOOOOOOOOOOOO

OOOOOOOOOOOOOOOOOOOOOOOOOOO

make 2 wishes!

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OK, NOW THAT U MADE A WiSH, I

Can you find the c?
i found the c!!!!
Reply:ok i've found them all, but whats the point?
Reply:that was kinda stupid!
Reply:14 down, 11 over = C

11 down, 2 over (top row) = 1

7 down, 5 over = 6

6 down, 13 over = N

5 down, 11 over = Q

Made my wishes waiting for them to come true.
Reply:Is there supposed to be more than one "N"?
Reply:The C wa the hardest and i have a question,

are u sum guy who makes chain mail? cuz this has basically the same format
Reply:okay. that was an incredible waste of time.
Reply:c=%26gt;14th row 11th letter

1=%26gt;9th set of 5 i's

n=%26gt;4th row 8th letter and 6th row last letter

q=%26gt;5th row 11th letter

I wish I hadn't wasted my time

I wish I knew what the F*CK you were smoking when you wrote this.
Reply:found the N u said it was hard. but it was easy.

\
Reply:strange question, fun though
Reply:there's two N's
Reply:i'm not sure i understand the point but thanks for the headache and the 2 points.
Reply:You'll have a great career as an ascii artist
Reply:I found them all, but there were two 'N's' ... were there supposed to be?

Racing Shoes