The functions u and w are defined as follows. =ux+−2x2 =wx−−x21 Find the value of wu−5.
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Given:
The quadratic equation is:
To find:
The value of k and .
Solution:
We have,
...(i)
Putting , we get
Putting in (i), we get
Splitting the middle term, we get
Here, and
.
Therefore, the required values are and
.
The rotation about UG would generate a hemisphere of radius 8. The volume of a sphere with radius is
, so the volume of the hemisphere would be
.