Hi,
L = (1/6)x - 1
P = 2x + 2L = 2x + (2/6)x - 2
P= (7/3)x - 2
x being the width.
Hope this helps!
Answer:
y = x^2 (x - 2) = x^3 - 2 x^2
dy/dx = 3 x^2 - 4 x
At x = 3 dy/dx = 3 * 9 - 4 * 3 = 15 The slope (gradient) of the curve
Answer:
992,016
Step-by-step explanation:

First thing to do is to change the radians to degrees so it's easier to determine our angle and where it lies in the coordinate plane.

. If we sweep out a 210 degree angle, we end up in the third quadrant, with a 30 degree angle. In this quadrant, x and y are both negative, but the hypotenuse, no matter where it is, will never ever be negative. So the side across from the 30 degree reference angle is -1, and the hypotenuse is 2, so the sine of this angle, opposite over hypotenuse, is -1/2