# unit

1. ### Slope of the Unit Circle at Any Point

How do you calculate the slope of the unit circle at any point? Unlike curves that can be written in the form y = ax^2 + bx + c, which are easy to take the derivative of, writing the unit circle in y = form would have a positive or negative in front of a square root.
2. ### 2 unit circles overlap in a 4x4 square

Two unit circles are placed randomly inside a four by four square. What is the probability that they overlap?
3. ### Problem involving a unit circle and two other coordinates

I have a little problem that I hope the community would be able to assist me with. I have a unit circle and inside that unit circle I have a point (A), outside that unit circle I have another point (B). Is there a way to find the coordinates of the point that intersects the radius of the unit...
4. ### Divergence of unit vector in two dimensions

I am confused in opting the correct option of this question. Please help me with the correct answer. This is a part of my assignment. :confused::cry:
5. ### Example of properties that the circle unit hasn't

What are the properties the unit circle hasn't, but that ellipses have?
6. ### A 1 unit by 1 unit triangle is impossible

If you have none maths you will have been taught about a triangle that has sides equal to 1 unit long, the diagonal of the triangle is equal to root 2. Root 2 never terminates-it does not stop but A 1 unit by 1 unit triangle is impossible- thus maths ends in meaninglessness...
7. ### ring with unity

We say that a set A with two distinct binary operations + and * has ring structure when (A, +) is abelian group and (A, +, *) satisfies certain properties. On the condition necessary and sufficient for (A, +, *) to be a ring with unity, class V for true sentences and F for false sentences: ()...
8. ### Parallel unit vectors

I am at my wits end with this question and hopefully someone can push me in the right direction or offer me some "AH-HA!" advice. Find the unit vectors that are parallel to the tangent line to the curve y = 8 sin(x) at the point (Ï€/6, 4). (Enter your answer as a comma-separated list of...
9. ### Unit Conversion BTU/Hr to KW

Hi, This looks like an energy question, but it is really a math question. Does anyone have any idea why BTU/Hr is converted to KW, instead of KW/Hr (kWh)? To me, that is like converting Miles Per Hour to Feet. It can't be done. You could convert Miles Per Hour to Feet Per hour. All...
10. ### what is this unit?

hello what does this unit mean Total MVA/CKM 200MVA
11. ### Pack unit circles on unit sphere

What is the maximum number of non-overlapping unit circles that can be packed upon a unit sphere?

13. ### unit of measurement

We are given the following model for population growth \frac{dP}{dt}=kP where P(t) is the number of population at time t (measured in years) and k is a constant of proportionality. In this model the unit for time is year. What is the unit for the constant of proportionality? per year? how...
14. ### Unit Circle, special triangles

If you would like to take a look, I made a couple of lessons on the Unit Circle, special triangles and how to easily obtain the sine and cosine of their angles from the circle. XnqJRHxYJeg zwvepjlw4b4
15. ### Unit vectors

Given points on the Cartesian plane of P = (1,-2), Q = (6, 10), we find that \vec{PQ}=\><5,12>, and |\vec{PQ}| = \sqrt{25+144}=13. By definition of unit vectors, we can find the unit vectors parallel to \vec{PQ} by doing \frac{<5,12>}{13} = <\frac{5}{13},\frac{12}{13}>, then following the...
16. ### Unit Cells

Hi, i've attached the questions i'm having trouble with. https://www.dropbox.com/s/8wzphmxla312je0/c.png?dl=0 https://www.dropbox.com/s/2xoswl3heqbnvqt/a.png?dl=0 I've attached two pictures. I understand the one that is titled 'face centred cubic: example of NaCl'. I just attached it...
17. ### About unit costs and quantity of products

Hello :) Is there an incomplete number of quantity of products and of unit costs in equilibrium? I study microeconomics (if it's necessary). Thanks!
18. ### Equilibrium

What is the SI unit of Equilibrium? Is Equilibrium scalar or vector quantity? Can we define laws of Equilibrium similar to law of inertia or Newton's laws of motion? Thanks & Regards, Prashant S Akerkar
19. ### Viscosity in Gases.

Can we measure viscosity in different Gases? What will be the SI unit for viscosity in Gases? What will be the Equation derived for measuring viscosity in Gases? Is Viscosity Scalar or Vector quantity? Thanks & Regards, Prashant S Akerkar
20. ### Finding laplace transform of unit step function?

The initial function is: f(t) = 0 for 0<t<1 1 for 1<t<2 0 for >2 In function notation this function would be f(t)=U(t)-U(t-2). However the actual question is for us to find f(t-1). So what would this mean? Would it mean: f(t) = -1 for 0<t<1 0 for 1<t<2 -1 for >2 or something else?