Answer:
I will do that buddy. I'll have fun
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,
Answer:
Step-by-step explanation:
<u>Multiply and simplify:</u>
- (x - 1)(x + 2)(x + 3) =
- (x² + 2x - x -2)(x + 3) =
- (x² + x - 2)(x + 3) =
- x³ + 3x² + x² + 3x - 2x - 6 =
- x³ + 4x² + x - 6
<u>From the final polynomial we can see that:</u>
- a = 1, b = 4, c = 1 and d = - 6
So all the coefficients are positive but the constant d is negative
