Helping students gain understanding and self-confidence in algebra.
trey5498 wrote: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 maximizes the volume of the box. Each corner is x by x.
trey5498 wrote:Question 2: Use lim n->inf (1+1/n) = e or its variation and logarithm to prove lim n->inf (1+x/n) = e^x for all x.
trey5498 wrote:The (1+1/m) would have an exponent even if the original did not have an exponent?
trey5498 wrote:the original limit function was (1+x/n) = e
trey5498 wrote:Sorry I meant (1+x/n) = e^x is the same as your work?
trey5498 wrote:if so what about the (1+1/n) = e?
trey5498 wrote:Checking my math on the rectangle problem:
trey5498 wrote: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:
=2sinxcosx = sin2x = sin2(1/2) = sin(1)
trey5498 wrote:y = sin^2(sin)
trey5498 wrote:there is where I get stuck. I know I have to solve to find y1 and then plug it in y-y1 = sin(x+1/2).