<span>−5</span>=<span>−<span>2/3x+3
-5=9x-2/3x
-15x=9x-2
</span></span><span><span><span>−<span>15x</span></span>−<span>9x</span></span>=<span><span><span>9x</span>−2</span>−<span>9x</span></span></span>(Subtract 9x from both sides)<span><span>−<span>24x</span></span>=<span>−<span>2
-24x/-24=-2/-24
x=1/12
:)</span></span></span>
Let
be the radius of the cone's base and
the slant height.
The surface area of a cone is
If the radius is quadrupled (
) and the slant height scaled by a factor of
, then the new area is
Make a table with the angle theta as independent variable and the radius r as dependent variable:
theta radius = 4+2cos theta radius
------- -----------------------------------------
0 4+2 6
pi/6 4+2cos pi/6 = 4+2(sqrt(3)/2
Perhaps you have already plotted this using webassign (but remember that you have not shared an illustration here). (Please don't type "webassign plot" repeatedly, as it accomplishes nothing.)
Generally, when one wishes to find the area of a region defined by polar functions (as is the case here), one first determines suitable limits of integration from the finished curve and checks them through actual integration.
Which formula should you use to find the area: Look up "areas in polar coordinates," as I did. The formula is as follows:
Enclosed area = Integral from alpha to beta of (1/2)r^2 d(theta). Note that the initial radius here is 6 (since r = 4 plus 2 cos theta is 4+2 when theta = 0).
Answer:
Pontiac's Rebellion, which came closely on the heels of the French and Indian War, made the British seek more peaceful relations with Native Americans in the Ohio Valley. They issued the Proclamation of 1763, which prohibited colonists from settling in the region, as a way to avoid further conflict.
Step-by-step explanation:
