# Help needed to solve some calculus problems

• Jul 8th 2011, 03:16 AM
walapa
Help needed to solve some calculus problems
Help needed to solve some calculus problems attached as a word document.
• Jul 8th 2011, 03:24 AM
e^(i*pi)
Re: Help needed to solve some calculus problems
Quote:

Originally Posted by walapa
Help needed to solve some calculus problems attached as a word document.

Using Latex:

Quote:

Originally Posted by The document in the OP
A man has $75\pi \text{ cm}^2$ sheet of metal and wishes to make an open cylindrical container with it. Find the dimension of the tin for which the volume will be maximum.

Find the stationary points of the function $y = x^2(3+2x-3x^3)$ and investigate their nature.

Find the gradient to the tangent to the curve $x^2+2xy-2y^2+x =2$ at the point $(-4,1)$

Find the equation of the tangent and normal to the curve $y = 3x^2-9x+4$ at the point $x=2$

Find the equation of the normal line to the curve $y=4x^3-5x^2+2$ at the point $(-1,-7)$

See rule 8: Do not ask too many questions in one thread. Do not ask more than two questions in a post

What have you tried?
• Jul 8th 2011, 03:55 AM
Siron
Re: Help needed to solve some calculus problems
For example:
To calculate the stationary points: $\frac{dy}{dx}=0$.
• Jul 8th 2011, 04:13 AM
Prove It
Re: Help needed to solve some calculus problems
Are you told anything about the piece of sheet metal? I.e. What are the length and width of the piece?
• Jul 8th 2011, 02:01 PM
mr fantastic
Re: Help needed to solve some calculus problems
Quote:

Originally Posted by walapa
Help needed to solve some calculus problems attached as a word document.

Please read all the rules. Please do not attach word files (it will NOT be opened), type out the questions like everyone else.