Good morning to you, but good night to me.

Here is Hong Kong, and it is 22:28PM.

My day has been good, favourite lessons all in a day... :D

Programming, Chemistry, Physics.... :D

For 6), never heard of it! Definitely I have made a right choice making an account here 1 or 2 years ago! :D

Np ;)

I can solve a 1x1 within 0.01 seconds... lol

It always have been solved xD

Base area = 600 - 200 = 400 m^2

Height = 200 cm = 2m

Volume in m^3 = 400*2 = 800 m^3

~Cookie

My solution in LaTeX:(I guess it is the same...)

\(y'' + 4y' + 4y = 4e^t\\ \text{Let }y_h \text{ be the homogeneous case.}\\ y_h'' + 4y_h' + 4y_h = 0\\ \lambda^2 + 4\lambda + 4 = 0\\ \lambda = -2\\ \therefore y_h = C_1 e^{-2t} + C_2 te^{-2t}\\ \text{Let } y_p = Ae^t.\\ y_p=y'_p =y''_p= Ae^t\\ Ae^t + 4Ae^t + 4Ae^t = 4e^t\\ 9A = 4\\ A = \dfrac{4}{9}\\ \therefore y_p = \dfrac{4e^t}{9}\\ \therefore y = y_h + y_p = C_1 e^{-2t} + C_2 te^{-2t} + \dfrac{4e^t}{9}\)

:)

That is, a Cisco, which is a \(Cis(co)\) which exponential form is \(e^{i*co}\)! LOL

Using the slope formula:

Slope = \(\dfrac{5a^2-3a^2}{(3a+4)-(2a+4)}\) = 2a

while it equals a+3.

Therefore

a + 3 = 2a

a = 3

For any 2 points, there is a line passing through it.

Substitute the point (4,-3) into the equation 1-kx = -3y

(Note: Why can we do this? Because when a point lies on a line, if you sub the x coordinate into all 'x's in the equation and y coordinate into all 'y's in the equation, then you will get left hand side equals right hand side.)

1 - 4k = -3(-3)

1 - 4k = 9

4k = 1 - 9 = -8

k = -8/4 = -2

Answers:

http://web2.0calc.com/questions/not-a-question-link-included-answers-to-my-integration