functions

11 and 12 ??
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23 Replies
iTeachChem Helper
@Apu
iTeachChem Helper
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@Ameya²
@Ameya²9mo ago
for 11th you can try using the functional eqn formula and relations for polynomials
Real potato
Real potatoOP9mo ago
I tried using functional eqn but i couldn’t get any results
KaiZên
KaiZên9mo ago
,rotate
TeXit
TeXit9mo ago
No description
Gaurav
Gaurav9mo ago
,rotate
TeXit
TeXit9mo ago
No description
Keshav
Keshav9mo ago
$$ f(x+y) = f(x) \cdot f(y) + 3f(x-y)$$ $$ 3f(x) \cdot f(-y) + 3\cdot 3f(x+y)=3f(x-y) $$ $$ 8 f(x+y) + 3f(x) \cdot f(-y) = -f(x) \cdot f(y)$$
TeXit
TeXit9mo ago
Keshav
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Keshav
Keshav9mo ago
assuming f(x) is odd $$ 8 f(x+y) = 2f(x) \cdot f(y) $$ assuming f(x) is even $$ 8 f(x+y) = -4f(x) \cdot f(y) $$
TeXit
TeXit9mo ago
Keshav
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Keshav
Keshav9mo ago
well since its getting too heavy we can just use value putting
Real potato
Real potatoOP9mo ago
how do i do that? Can u show me
Comrade Rock Astley
hmm
TeXit
TeXit9mo ago
Comrade Rock Astley
No description
Comrade Rock Astley
so a_i =0 Try the same for 12
TeXit
TeXit9mo ago
Comrade Rock Astley
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Comrade Rock Astley
the main ideas are to substitute x=y=0, x=0, y=0 and x=y
Real potato
Real potatoOP9mo ago
Oh okay
ᴘɪᴄᴄʜɪ | 🎧 🎶
@Real potato
Real potato
Real potatoOP9mo ago
+solved @Comrade Rock Astley
iTeachChem Helper
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