Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

Login

Username

Password

Not registered yet?

#1 2012-10-16 11:16:26

ShivamS
Super Member

Offline

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


I have discovered a truly marvellous signature, which this margin is too narrow to contain. -Fermat
Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. -Archimedes
Young man, in mathematics you don't understand things. You just get used to them. - Neumann

#2 2012-10-16 11:17:18

bobbym
Administrator

Offline

Re: Calculus Distraught Part 2

First one is correct!


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#3 2012-10-16 11:19:57

ShivamS
Super Member

Offline

Re: Calculus Distraught Part 2

Eureka!


I have discovered a truly marvellous signature, which this margin is too narrow to contain. -Fermat
Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. -Archimedes
Young man, in mathematics you don't understand things. You just get used to them. - Neumann

#4 2012-10-16 11:21:44

anonimnystefy
Real Member

Offline

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

#5 2012-10-16 11:23:47

ShivamS
Super Member

Offline

Re: Calculus Distraught Part 2

Eureka, and why?


I have discovered a truly marvellous signature, which this margin is too narrow to contain. -Fermat
Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. -Archimedes
Young man, in mathematics you don't understand things. You just get used to them. - Neumann

#6 2012-10-16 11:24:47

ShivamS
Super Member

Offline

Re: Calculus Distraught Part 2

a=-3 and b=-6


I have discovered a truly marvellous signature, which this margin is too narrow to contain. -Fermat
Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. -Archimedes
Young man, in mathematics you don't understand things. You just get used to them. - Neumann

#7 2012-10-16 11:25:43

bobbym
Administrator

Offline

Re: Calculus Distraught Part 2

Fourth one is correct!


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#8 2012-10-16 11:26:50

ShivamS
Super Member

Offline

Re: Calculus Distraught Part 2

Eureka again. More discoveries then Archimedes.


I have discovered a truly marvellous signature, which this margin is too narrow to contain. -Fermat
Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. -Archimedes
Young man, in mathematics you don't understand things. You just get used to them. - Neumann

#9 2012-10-16 11:27:45

bobbym
Administrator

Offline

Re: Calculus Distraught Part 2

He was a great mathematician.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#10 2012-10-16 11:29:35

anonimnystefy
Real Member

Offline

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

#11 2012-10-16 11:31:20

bobbym
Administrator

Offline

Re: Calculus Distraught Part 2

You are correct!


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#12 2012-10-17 08:17:18

ShivamS
Super Member

Offline

Re: Calculus Distraught Part 2

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


I have discovered a truly marvellous signature, which this margin is too narrow to contain. -Fermat
Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. -Archimedes
Young man, in mathematics you don't understand things. You just get used to them. - Neumann

Board footer

Powered by FluxBB