trey5498 wrote:Sorry I meant (1+x/n) = e^x is the same as your work?

I'm sorry, but I don't understand this run-on of incomplete sentences.

trey5498 wrote:if so what about the (1+1/n) = e?

I'm sorry, but I don't understand what you are saying. Yes, the two different expressions stand for the two different values. How do you feel this to be incorrect?

trey5498 wrote:Checking my math on the rectangle problem:

V(x)=x(20-2x)^2

=4x^3-80x^2+400x

V'(x)=12^2-160x+400

This should read "V'(x) = 12x^2 - 160x + 400".

trey5498 wrote:4(x-10)(3x-10)=0

3x-10=0

3x=10

x=10/3

x=3.33

Leave this answer in exact form, rather than introducing round-off errors. Your instructor may also require that you check the other solution, confirming it to be invalid within context.

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:

sin'x(sinx)+(sinx)sin'x

What is this? How does it relate to f(x) = (sin(x))^2?

trey5498 wrote:=cosxsinx+sinxcosx

=2sinxcosx = sin2x = sin2(1/2) = sin(1)

Do not differentiate and evaluate at the same time. Do one, and only then do the other.

trey5498 wrote:y = sin^2(sin)

What is this?

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).

What is "y1"? How does it relate to either of "f(x)" or "y"? What is the source of "sin(x + 1/2)"?

My supposition is that you are attempting to do two or three different things at once, and the resulting confusion is causing you to lose track of your progress and/or goal. Tis better to proceed methodically.

Before beginning, however, one must first determine the meaning of "at 1/2". Is this the value of x or of y? If not specified, kindly please consult with your instructor. Thank you.