The r comes from converting x+iy (rectangular coordinates) to polar coordinates.
x+iy=r(cos\Theta+isin\Theta)=rei\Theta
As far as how r is used, I'm unsure. None of the problems I have been given/done have used that r at all.
Homework Statement
Evaluate the following in x+iy form.
i3+i
Homework Equations
i=rei\Theta
The Attempt at a Solution
i=rei\frac{pi}{2}
i3+i = i3*ii
(-i)(ei2\frac{pi}{2})
=-ie-\frac{pi}{2}
=-.2079i
I understand how it all works out except \frac{pi}{2}. I can't figure out how...
Homework Statement
A cart is pushed up a ramp with an initial speed v0=2.5m/s. For this problem, you may assume that the cart is frictionless and the acceleration of the cart a=gsin\theta.
A) If the angle of the ramp is \theta=20, what is the maximum distance d that the cart will travel up...
Okay I just did a little experiment and found dimensions and angles of this car I'm pushing.
Basically this is the triangle that I drew here is what I'm pushing, only... in the form of a car. (point A and point B are the same points on both pictures.)
I'm trying to find the equation that...
Okay, sorry. I drew a [very poor] picture to help illustrate what I'm trying to get at.
The force at point A will be known but it will not equal the force at point B. There will be some angle (theta) that I will approximate. I know that there is a relation between the two points along...
I'm unsure if this should be in homework help or not... but...
In Trig (over a year ago) I remember being taught a equation to find the force being applied (in this case) to the tires of a car when pushing it with "x" force at "y" height.
Lo and behold, I need this equation for a project...
ahh! okay....
x2+2xh+h2+2-x2-2
=
x2+2xh+h2+2-x2-2
=
2xh+h2/h
=
2xh+h2/h
=
2x+h
That is the answer I chose since it was closest to my answer. You guys rock, thanks!
I took a placement test and blew it away. (I tested into calculus, best possible placement for this test.) Everything was rather simple except for this problem which I cannot seem to get right. Can someone show me where I'm going wrong here?
Homework Statement
Use x2+2 in the Difference...