Need some clarification in regards to trigonometry...
Homework Statement
For some reason, I am not seeing the cause of this. In attached problem 1, the Forces of x are described with a cos while forces of y are described with sin. In the second problem, the forces of X use sin and the...
yea sorry, forgot to put the dx on the outside, but still confused... using substitution and writing the problem like this...
u^{1/2} where u=5, du=0dx so dx=du/0 which is ?
continuing, if it is right u^{1/2}du would become u^{3/2} times 2/3 so I'm doing something wrong with the...
using the arc length formula the only thing i can think of is that when i get
\sqrt{5}dx and dx ends up being 0, it becomes neglible so i only have \sqrt{5} to evaluate from 1 to 3... but then my question would be, I know subtracting 3\sqrt{5} from 1\sqrt{5} gives me the answer 2\sqrt{5} but...
and thinking about it, i should probably not be using the formula for arc length for this problem, even though it is in the arc length chapter...since this is a linear function
[SOLVED] Another simple question that I don't get :(
Homework Statement
Find the Length of the indicated curve
y=2x-3 x[1-3]
Homework Equations
Arc Length=\int\sqrt{1+[f'(x)]^{2}dx}
The Attempt at a Solution
ok so y'=2 of course,
so it becomes a problem of \int from 1 to...
Homework Statement
The base of a soild is the region bounded by y=x^2 and y=x. Find the volume if cross sections perpendicular to the x-axis are squares
Homework Equations
Integral of A(x)dx
The Attempt at a Solution
Ok, so I have to take the integral from 0 to 1 after solving...
Something simple that i cannot visualize??
Homework Statement
limit as x approaches 0 for sinx/4x
Homework Equations
ok...what i know is that sinx/x=1 so by that simple statement the answer becomes 1/4 because sinx/x=1 and than there's 4x which gives me the 4...so 1/4...i tend to over...
lim as x approaches 2 for X-2/\sqrt{7+X}-(x+1)
this was the problem..I solved it to be -6/5...I just have a question...i have another similar problem, which also becomes in the indeterminate form.
lim as t approaches 3 for 1-t+\sqrt{1+t}/t-3
where do i find more information on how to...
Homework Statement
The limit as x approaches 2 for (X-2)/(sqrt7+x)-(x+1)
Homework Equations
The Attempt at a Solution
I know i have to rationalize the denominator but it seems like I'm doing something very wrong with my distrubution...please help!