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#1 2012-10-15 12:16:26
- ShivamS
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- Registered: 2011-02-07
- Posts: 3,648
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
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Calculus Distraught Part 2
First one is correct!
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#3 2012-10-15 12:19:57
- ShivamS
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Re: Calculus Distraught Part 2
Eureka!
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#4 2012-10-15 12:21:44
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
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
The knowledge of some things as a function of age is a delta function.
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#5 2012-10-15 12:23:47
- ShivamS
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Re: Calculus Distraught Part 2
Eureka, and why?
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#6 2012-10-15 12:24:47
- ShivamS
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Re: Calculus Distraught Part 2
a=-3 and b=-6
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#7 2012-10-15 12:25:43
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Calculus Distraught Part 2
Fourth one is correct!
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#8 2012-10-15 12:26:50
- ShivamS
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- Registered: 2011-02-07
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Re: Calculus Distraught Part 2
Eureka again. More discoveries then Archimedes.
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#9 2012-10-15 12:27:45
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Calculus Distraught Part 2
He was a great mathematician.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#10 2012-10-15 12:29:35
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
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
The knowledge of some things as a function of age is a delta function.
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#11 2012-10-15 12:31:20
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Calculus Distraught Part 2
You are correct!
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#12 2012-10-16 09:17:18
- ShivamS
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- Registered: 2011-02-07
- Posts: 3,648
Re: Calculus Distraught Part 2
Oh, my apologies. dy/dx = 2x + a so...
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