?

The rotating crank causes the position of point P as a function to be s=0.4sin(2*pi*t) metres.

a) Determine velocity and acceleration of P at t=0.375s.

b) What is the maximum magnitude of velocity of P?

c) When the magnitude of velocity of P is a maximum, what is the acceleration?

from this picture

http://img52.imageshack.us/img52/7595/hyp.png

please explain in detail. Thanks

How do you say, "I hope tomorrow will be as fun as today" in Mandarin?

I want to say "This place is the only place known by foreign countries because ....."

is it

这个地方是唯一外国的认识因为。。。??

actually i know it doesn't make any sense but i don't know which words i'm missing and how to correct it

So we've seen iPhone 4,4s with this cool lenses that can be put on its camera. Is it possible to have these kind of lenses for htc phones? I haven't seen one before. Maybe they haven't built one for htc phones

y'' + 2y' + y = e^(-x)/x^2 , x > 0

f(x,y)x^2y^2 + f(x,y)x(1+y^2)y' = 0

function: g(x,y) = 1 - 0.5xy + 0.5yx^2 + xy^2 -(x^2*y^2), where domain is real numbers

Find the global maximum and global minimum of function g over the region [0,1]x[0,1]

Suppose two members of the group of twelve don't get along and refuse to work together on a team. How many five-person teams can be formed?

pi*r*sqrt(h^2 + r^2) by the way this is the surface area of an open cone

D = R^2 (real) about the point (sqrt(pi), 0)

Line 1: x+1 = (y-1)/2 = 7-z

Line 2: x+4 = 1-y = (z-1)/2

and find a point P on Line 1 and point M on Line 2 such that the line through P and M is perpendicular to both Line 1 and 2

What's the minimum number of flip-flops needed to build a synchronous binary counter capable of counting from 0 to 17 inclusive?

The question says given an ellipse (picture here: http://imageshack.us/photo/my-images/809/conic1.pn... with focal points (0,0) and (2c,0), draw a line segment from the origin to a point on the ellipse, a distance r from the origin. If the line segment makes an angle theta (0<= theta < 2*pi) with the x-axis, show that the distance r(theta) is given by:

r(theta) = [a(1- e^2)]/(1-e cos theta) where e = sqrt(a^2 - b^2) and a is called the eccentricity of the ellipse.

My friend gave me this site here (http://mathworld.wolfram.com/Ellipse.html) which is really helpful but I can't do it. I need help.

x^2 - y^2 - 2x + 4y - 2 = 0

i think the standard form would be [(y-2)^2]/1 - [(x-1)^2]/1 = 1. Am I right? Can you please find the asymptotical lines for this function? Show solution please

x^2 - y^2 - 2x + 4y - 2 = 0

Plane 1: x+y+2z=1

Plane 2: r=(1,-2,2) + lambda(2,1,0) + alpha(0,1,-3) with lambda and alpha both real numbers

Line 1: x=y, z=0

Line 2: x=z, y=0

equation 1: a (dot product *) b = (a1, a2, a3) * (b1, b2, b3) = a1b1+a2b2+a3b3

equation 2: a * b = ||a|| ||b|| cos theta.

Now, how do you prove that these two equations are equal?

1.) y = x^2 + 3x - 4

2.) 4x^2 + y = 4

3.) x = (y-1)^2

4.) x^2 + 2x + y^2 = 3

5.) 4x^2 - 9y^2 = d, for d = -4, 0, 4

6.) x^2 - 100y - 108 = 25y^2 + 2x

7.) x + 2 + y = y^2