i dont understand them at all.....my first question is

If f(2) = 3 and f'(2) = 5 find the equation of the tangent line and normal line at x = 2.

f' = the derivative

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Posts: 7954

i dont understand them at all.....my first question is

If f(2) = 3 and f'(2) = 5 find the equation of the tangent line and normal line at x = 2.

f' = the derivative

If f(2) = 3 and f'(2) = 5 find the equation of the tangent line and normal line at x = 2.

f' = the derivative

*NORTH EAST CULT*

matt

matt

Posts: 6114

If f(2) = 3 and f'(2) = 5 find the equation of the tangent line and normal line at x = 2.

f' = the derivative

Well, what a derivative does is tell you what the slope of a tangent line is equal to at a given point on a curve. So, at the point F(2), the value of Y is equal to 3. You know that already. From the derivative, you know that at when F(2), or X=2, the slope of the line is equal to 5. So you have F(x) = 5x-7 for your tangent line at x=2. At x=2, 5(2)-7=10-7=3, or F(2) = 3.

A normal line is the negative inverse of a tangent line.

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www.rajheadwear.bravehost.com

You're not drunk if you can lie on the floor without holding on

Posts: 600

correct ^

Posts: 7954

thanks^^ someone told me that the slop is perpendicular so it has to be -1/5 not 5.

*NORTH EAST CULT*

matt

matt

Posts: 1985

first off, this is why point-slope form pwns noobs.

f'(2) = 5

m = 5

f(2) = 3

(x,y) = (2,3)

y=m(x-x1)+y1

y=5(x-2)+3 is the equation for your tangent line in point-slope form. and I dont know what the hell you mean by "normal line at x=2"

f'(2) = 5

m = 5

f(2) = 3

(x,y) = (2,3)

y=m(x-x1)+y1

y=5(x-2)+3 is the equation for your tangent line in point-slope form. and I dont know what the hell you mean by "normal line at x=2"

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What is the answer to this question?

A) Niether B nor C

B) None of the above

C) All of the above

D) Both B and C

-=-= FoLNtP Cult =-=-

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What is the answer to this question?

A) Niether B nor C

B) None of the above

C) All of the above

D) Both B and C

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Posts: 6114

A 'Normal Line' is a line that is orthogonal to another line/plane/object, what have you. Orthogonal means perpendicular.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

www.rajheadwear.bravehost.com

You're not drunk if you can lie on the floor without holding on

*Cleavage* (n.): Something that can be looked down on and approved of at the same time.

www.rajheadwear.bravehost.com

You're not drunk if you can lie on the floor without holding on

Posts: 1985

ooooooooo okay! I've never heard it been called a "normal line" before, weird.

http://www.onemorelevel.com/games3/freerider.swf

-----------------------------------------------------------------

What is the answer to this question?

A) Niether B nor C

B) None of the above

C) All of the above

D) Both B and C

-=-= FoLNtP Cult =-=-

-----------------------------------------------------------------

What is the answer to this question?

A) Niether B nor C

B) None of the above

C) All of the above

D) Both B and C

-=-= FoLNtP Cult =-=-

Posts: 6114

I didn't really understand it in Calc 1 (2? Don't remember if they were in that or not) either. But once you get to Calc 3, and you start using vectors and 3 dimensions, it is used alllllll the time. It's really annoying, I hate fucking normal lines.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

www.rajheadwear.bravehost.com

You're not drunk if you can lie on the floor without holding on

*Cleavage* (n.): Something that can be looked down on and approved of at the same time.

www.rajheadwear.bravehost.com

You're not drunk if you can lie on the floor without holding on

Posts: 1985

-----------------------------------------------------------------

What is the answer to this question?

A) Niether B nor C

B) None of the above

C) All of the above

D) Both B and C

-=-= FoLNtP Cult =-=-

Posts: 1985

do you live in canada?

because I've never heard of Calc 3 either, just Calc AB and Calc BC

because I've never heard of Calc 3 either, just Calc AB and Calc BC

-----------------------------------------------------------------

What is the answer to this question?

A) Niether B nor C

B) None of the above

C) All of the above

D) Both B and C

-=-= FoLNtP Cult =-=-

Posts: 6114

I had Calc AB and BC in high school, but it's different in College in the States. Calc AB = Calc 1, Calc BC = Calc 2, and they are much much harder. I wished I would have paid more attention to Calc 2 in high school. Then you have Calc 3 which is multivariable calculus, basically like triple integrals over 3 dimensional space, 3 dimensional vectors, so on. And Calc 4, which is differential equations, you might have done some basic ones already in school, I don't remember. I have that next semester.

I think that is as far as they go for Calc numbers, at least at my school. After that you get into more advanced stuff.

I think that is as far as they go for Calc numbers, at least at my school. After that you get into more advanced stuff.

www.rajheadwear.bravehost.com

You're not drunk if you can lie on the floor without holding on

Posts: 1985

sounds fun :)

-----------------------------------------------------------------

What is the answer to this question?

A) Niether B nor C

B) None of the above

C) All of the above

D) Both B and C

-=-= FoLNtP Cult =-=-

Posts: 600

im in calc 3 right now, i actually prefer it to some of the stuff in calc 2. im taking calc 4 next semester, which i heard is really easy.

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