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#1 2012-10-15 12:16:26

ShivamS
Member
Registered: 2011-02-07
Posts: 3,523

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

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#2 2012-10-15 12:17:18

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 85,383

Re: Calculus Distraught Part 2

First one is correct!


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#3 2012-10-15 12:19:57

ShivamS
Member
Registered: 2011-02-07
Posts: 3,523

Re: Calculus Distraught Part 2

Eureka!

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#4 2012-10-15 12:21:44

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,507

Re: Calculus Distraught Part 2

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


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#5 2012-10-15 12:23:47

ShivamS
Member
Registered: 2011-02-07
Posts: 3,523

Re: Calculus Distraught Part 2

Eureka, and why?

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#6 2012-10-15 12:24:47

ShivamS
Member
Registered: 2011-02-07
Posts: 3,523

Re: Calculus Distraught Part 2

a=-3 and b=-6

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#7 2012-10-15 12:25:43

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,383

Re: Calculus Distraught Part 2

Fourth one is correct!


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#8 2012-10-15 12:26:50

ShivamS
Member
Registered: 2011-02-07
Posts: 3,523

Re: Calculus Distraught Part 2

Eureka again. More discoveries then Archimedes.

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#9 2012-10-15 12:27:45

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,383

Re: Calculus Distraught Part 2

He was a great mathematician.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#10 2012-10-15 12:29:35

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,507

Re: Calculus Distraught Part 2

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


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#11 2012-10-15 12:31:20

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,383

Re: Calculus Distraught Part 2

You are correct!


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#12 2012-10-16 09:17:18

ShivamS
Member
Registered: 2011-02-07
Posts: 3,523

Re: Calculus Distraught Part 2

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

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