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

ShivamS
Member
Registered: 2011-02-07
Posts: 3,629

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: 90,582

Re: Calculus Distraught Part 2

First one is correct!


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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

ShivamS
Member
Registered: 2011-02-07
Posts: 3,629

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: 15,657

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: 3,629

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: 3,629

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: 90,582

Re: Calculus Distraught Part 2

Fourth one is correct!


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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

ShivamS
Member
Registered: 2011-02-07
Posts: 3,629

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: 90,582

Re: Calculus Distraught Part 2

He was a great mathematician.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,657

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: 90,582

Re: Calculus Distraught Part 2

You are correct!


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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

ShivamS
Member
Registered: 2011-02-07
Posts: 3,629

Re: Calculus Distraught Part 2

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

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