Answer:
81
Step-by-step explanation:
9^2 = 81 bc 9x9=81
Answer:
-10.2c + 2.2
Step-by-step explanation:
To make things less complicated, write down everything separate from the other. Then group together the intercepts and the coefficients into separate groups. After that, add them up separately in a format to where it will look like basic addition.
Hope this helps. I also apologize for any errors.
Answer:
2.66
Step-by-step explanation:
So there is an identity we'll need to use to solve this:
cos(x+y) = cosxcosy - sinxsiny
replace the numerator with the right hand side of that identity and we get:
(cosxcosy - sinxsiny)/cosxsiny
Separate the numerator into 2 fractions and we get:
cosxcosycosxsiny- sinxsiny/cosxsiny
the cosx's cancel on the left fraction, the siny's cancel on the right fraction and we're left with:
cosy/siny - sinx/cosx
which simplifies to:
coty - tanx
is a right triangle with base length 1 and height 8, so the area of
is
.
The average value of
over
is given by the ratio
The denominator is just the area of
, which we already know. The average value is then simplified to
In the
-plane, we can describe the region
as all points
that lie between the lines
and
(the lines which coincide with the triangle's base and hypotenuse, respectively), taking
. So, the integral is given by, and evaluates to,
