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Solve the differential equation using the initial condition. Then find the exact value of f(1).

y = y - 1 y(0) = 3

I don t know how to do this so could you explain how to do this.

If 4x^2 + 2xy + 3y = 9 then the value dy/dx at the point (2,-1) is?

The answer is -2 but I don't know how to get there.

find dy/dx using implicit differentiation

1) x^3 + y^3 = 18xy

2) x^2 = x-y / x+y

I don't know how to do this so could you please show steps

1) Solve the equation on the interval (0, 2pi). Give exact values (Ex: pi/3).

cos^2 x = cos x

2)Simplify: csc x - tan x sin x cos x

I have no idea how to solve these.

It would be very nice if steps were included.

x^2 - y^2

_________

xy

________

x+y

________

y

X/ (1-x) + (1+x)/x

_________________

(1-x)/x + x/(1+x)

Simplify, using only positive exponents:

1) (16x^2 y)^3/4

2) 2(2/2-x) * [-2/(2-x)^2]

Could you also show your work so then I know how to do it myself?

You're a frog that eats certain shapes on a grid in each level. To move you use your mouse and click on a square on the grid, then to eat you double click. Sometimes a blue worm with sunglasses appears and eats you or you meet the toaster twin girls that try to trap you. You can choose to eat shapes or words. I use to play it in elementary; it was located in the student applications folder on the desktop. I just really want to know what it's called.