The square will have area
.. (9 cm)^2 = 81 cm^2.
The two triangles together will have area
.. (9 cm)*(12 cm) = 108 cm^2.
The sum of the areas of those three shapes is
.. 81 cm^2 +108 cm^2 = 189 cm^2
To Find :
Position vector at time
and
.
Solution :
r (t) = 2 (t −7)i + 12t j
Putting t = 5 s and t = 8 s, we get :
r(5) = 2( -2 )i + 60j
r(5) = -4i + 60j
r(8) = 2i + 96j
Now, to find speed differentiating the r(t) w.r.t t :

Hence, this is the required solution.
Answer:
28.27cm³
Step-by-step explanation:
Area of a circle:

First, find the area of a full circle with this given radius:

Now, to find the radius of a quarter circle with the same radius, just divide by 4:

The radius of the quarter circle is about 28.27cm³
Rate of change = 2/1 and the initial value is -2. this can be expressed as y=2x-2.