Part-B
Amit plants some seeds of gram and he measured the height of plant after four days. Plot the
height of every point.
100
Day Height in cm
8
0
0
4
Heigho
8
1.4
5.3
9.5
12.
4
3
2
1
16
10.9
Plot Area
0
4
8.
16
12
Day
Answers
Answer:
ʟᴇᴛ's ғɪʀsᴛ ᴛᴀᴋᴇ ᴛʜᴇ ᴅᴇɴᴏᴍɪɴᴀᴛᴏʀ...
\begin{gathered}denominator \: = \beta + {aw}^{3} + \gamma {w}^{2} + s {w}^{2} \: \: \: \: \: \: \: \: \: \: (multiplying \: and \: dividing \: by \: w) \\ \\ < /p > < p > \end{gathered}
denominator=β+aw
3
+γw
2
+sw
2
(multiplyinganddividingbyw)
</p><p>
= \frac{1}{w} ( \beta w + a + \gamma {w}^{2} + s {w}^{2} \: \: \: \: \: \: \: (since \: {w}^{3} = 1=
w
1
(βw+a+γw
2
+sw
2
(sincew
3
=1
= \frac{1}{w} (a + \beta w + \gamma \frac{w}{2} + s {w}^{2}=
w
1
(a+βw+γ
2
w
+sw
2
Now
\begin{gathered}( \frac{a}{ \beta } + \frac{ \beta w}{ aw {}^{2} } + \frac{ \gamma {w}^{2} }{ \gamma w} + \frac{ {sw}^{2} }{sw} \\ \\ = \frac{a + \beta w + \gamma {w }^{2}s {w}^{2} }{ \frac{1}{w}(a + \beta w + \gamma {w}^{2} + s {w}^{2} } \end{gathered}
(
β
a
+
aw
2
βw
+
γw
γw
2
+
sw
sw
2
=
w
1
(a+βw+γw
2
+sw
2
a+βw+γw
2
sw
2
Therefore,
( \frac{a + \beta w + \gamma {w}^{2} + s {w}^{2} }{ \beta + a {w}^{2} + \gamma w + sw} )(
β+aw
2
+γw+sw
a+βw+γw
2
+sw
2
)
=w^2
Hope Its Helps uh...