# Thread: Help needed to solve some calculus problems

1. ## Help needed to solve some calculus problems

Help needed to solve some calculus problems attached as a word document.

2. ## Re: Help needed to solve some calculus problems

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

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?

3. ## Re: Help needed to solve some calculus problems

For example:
To calculate the stationary points: $\frac{dy}{dx}=0$.

4. ## 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?

5. ## Re: Help needed to solve some calculus problems

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.