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#1 2012-10-16 11:16:26

Shivamcoder3013
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Calculus Distraught Part 2

Homework:
What is the slope of the tangent line to the graph of y = x^3 at the point (2,8) ?
12

Consider the parabola given by the equation y = x^2 + 4x - 5. At which point on the graph of this parabola is the slope of the tangent line equal to 10?
(3,16)

The line y = 2x - 9 is tangent to the parabola y = x^2 + ax + b at the point (4,-1). What are the values of a and b?
-3,-6 respectively.

circle with equation x^2 + y^2 = 25. Which is the equation of the tangent line to the circle at the point (3,4)?
3x + 4y = 25


Give me a lever long enough and a fulcrum on which to place it, and I shall move the world.
-Archimedes
My maturity level depends on the people I am around.

#2 2012-10-16 11:17:18

bobbym
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Re: Calculus Distraught Part 2

First one is correct!


In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.

#3 2012-10-16 11:19:57

Shivamcoder3013
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Re: Calculus Distraught Part 2

Eureka!


Give me a lever long enough and a fulcrum on which to place it, and I shall move the world.
-Archimedes
My maturity level depends on the people I am around.

#4 2012-10-16 11:21:44

anonimnystefy
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Re: Calculus Distraught Part 2

The second one is correct. The third one isn't.


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón

#5 2012-10-16 11:23:47

Shivamcoder3013
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Re: Calculus Distraught Part 2

Eureka, and why?


Give me a lever long enough and a fulcrum on which to place it, and I shall move the world.
-Archimedes
My maturity level depends on the people I am around.

#6 2012-10-16 11:24:47

Shivamcoder3013
Super Member

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Re: Calculus Distraught Part 2

a=-3 and b=-6


Give me a lever long enough and a fulcrum on which to place it, and I shall move the world.
-Archimedes
My maturity level depends on the people I am around.

#7 2012-10-16 11:25:43

bobbym
Administrator

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Re: Calculus Distraught Part 2

Fourth one is correct!


In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.

#8 2012-10-16 11:26:50

Shivamcoder3013
Super Member

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Re: Calculus Distraught Part 2

Eureka again. More discoveries then Archimedes.


Give me a lever long enough and a fulcrum on which to place it, and I shall move the world.
-Archimedes
My maturity level depends on the people I am around.

#9 2012-10-16 11:27:45

bobbym
Administrator

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Re: Calculus Distraught Part 2

He was a great mathematician.


In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.

#10 2012-10-16 11:29:35

anonimnystefy
Real Member

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Re: Calculus Distraught Part 2

I moght be wrong, but I am getting -6 and 7 in #3.


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón

#11 2012-10-16 11:31:20

bobbym
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Re: Calculus Distraught Part 2

You are correct!


In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.

#12 2012-10-17 08:17:18

Shivamcoder3013
Super Member

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Re: Calculus Distraught Part 2

Oh, my apologies. dy/dx = 2x + a so...


Give me a lever long enough and a fulcrum on which to place it, and I shall move the world.
-Archimedes
My maturity level depends on the people I am around.

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