## Search found 8 matches

Sat Oct 12, 2013 2:58 pm
Forum: Calculus
Topic: Find an equation of a Tangent Line of sin^2(x)?
Replies: 2
Views: 2494

### Find an equation of a Tangent Line of sin^2(x)?

Find an equation of the tangent line of f(x) = sin^2(x) at 1/2 I know the steps to solve this. Find the derivative, place derivative into the the original equation to find x (which I believe I can skip that part since I know x is 1/2), place X into derivative to find Y. Finally put into Y intercept ...
Fri Oct 11, 2013 9:36 pm
Forum: Calculus
Topic: 2 questions, 1 proof of e and 1 find dimension of a box?
Replies: 11
Views: 6410

### Re: 2 questions, 1 proof of e and 1 find dimension of a box?

I will email him and find out if there is supposed to be an exponent on that. It makes no sense why everything I have looked up and what you have posted has it and yet his does not.

Any idea about the other question or would it be wise to actually put that in its own post?
Fri Oct 11, 2013 3:21 pm
Forum: Calculus
Topic: 2 questions, 1 proof of e and 1 find dimension of a box?
Replies: 11
Views: 6410

### Re: 2 questions, 1 proof of e and 1 find dimension of a box?

Good to know that my math, minus the the typo of leaving the x out, is good on the box question. I guess I will will restate the other two questions as we have gotten a bit far from the original. Question 1: Use lim n->inf (1+1/n) = e or its variation and logarithm to prove lim n->inf (1+x/n) = e^x ...
Fri Oct 11, 2013 3:35 am
Forum: Calculus
Topic: 2 questions, 1 proof of e and 1 find dimension of a box?
Replies: 11
Views: 6410

### Re: 2 questions, 1 proof of e and 1 find dimension of a box?

Checking my math on the rectangle problem: V(x)=x(20-2x)^2 =4x^3-80x^2+400x V'(x)=12^2-160x+400 4(x-10)(3x-10)=0 3x-10=0 3x=10 x=10/3 x=3.33 I also have another question as well: Find an equation of the tangent line of f(x) = sin^2(x) at 1/2 Here is what I got so far: sin'x(sinx)+(sinx)sin'x =cosxsi...
Thu Oct 10, 2013 11:17 pm
Forum: Calculus
Topic: 2 questions, 1 proof of e and 1 find dimension of a box?
Replies: 11
Views: 6410

### Re: 2 questions, 1 proof of e and 1 find dimension of a box?

Sorry I meant (1+x/n) = e^x is the same as your work? if so what about the (1+1/n) = e?
Thu Oct 10, 2013 11:04 pm
Forum: Calculus
Topic: 2 questions, 1 proof of e and 1 find dimension of a box?
Replies: 11
Views: 6410

### Re: 2 questions, 1 proof of e and 1 find dimension of a box?

the original limit function was (1+x/n) = e and in your work it shows (1+1/n)^x = e. Is there a difference in the two?
Thu Oct 10, 2013 8:03 pm
Forum: Calculus
Topic: 2 questions, 1 proof of e and 1 find dimension of a box?
Replies: 11
Views: 6410

### Re: 2 questions, 1 proof of e and 1 find dimension of a box?

$\displaystyle{\lim_{m\, \to\, \infty}\, \left(1\, +\, \frac{1}{m}\right)^m\, =\, e}$
The (1+1/m) would have an exponent even if the original did not have an exponent?
Thu Oct 10, 2013 6:22 pm
Forum: Calculus
Topic: 2 questions, 1 proof of e and 1 find dimension of a box?
Replies: 11
Views: 6410

### 2 questions, 1 proof of e and 1 find dimension of a box?

Here are the 2 questions I am having issues with. I have no idea on number 1 Question1: A rectangular box without top is made from a metal sheet of 20x20 by removing a square from each corner and by folding the four side as in the following figure. Find the dimension of the square being removed that...