Question

please i need help on this

Answer 1

let V be the space of polynomial over R of degree\[\le2\]. let \[\emptyset _{1} \emptyset_{2} \emptyset _{3} \] be the linear functional on V defiend by \[\emptyset _{1} \[(f(t))=f(t)dt,\emptyset _{2}F(t)=f \prime(1),\emptyset _{3}(f(t))=F(0),\]

Answer 2

f(t)=a+bt+ct^2 and Fprime(t) denotes the derivatives of f(t). find the basis {\[f _{1}(t),f _{2}(t),f _{3}(t)\]} of V that is daul to {\[{\emptyset _{1} \emptyset _{2} \emptyset _{3}}\]

Answer 3

@ganeshie8

Answer 4

@oldrin.bataku

Answer 5

sorry i have no idea, but you may use `\varphi` for \(\varphi\) in latex

Answer 6

also try using `\( some latex mess \)` for inline latex

Answer 7

@zzr0ck3r

Answer 8

@Michele_Laino

Answer 9

@misty1212

Answer 10

@Loser66

Answer 11

Can't do anything. I'm not on computer. It's hard to type on the phone.

Answer 12

Will consider it later when I can use the computer

Answer 13

ok . please when you are on computer, you can work on it sir

Answer 14

Sure

Answer 15

Can you repost the question. I can't tell what you are asking.

Answer 16

What are these questions from, this is completely different then the stuff you were studying yesterday. It seems to me that you are going through this stuff way to fast. Are you self teaching?

Answer 17

I guess: \(V= P_2\)
\(\emptyset_1: V\rightarrow V\\f(t) \mapsto \int f(t)dt\)

\(\emptyset_2: V\rightarrow V\\f(t) \mapsto f'(1)\)

\(\emptyset_3 :V\rightarrow V\\f(t) \mapsto f(0)\)

Given \(f(t) = a+bt +ct^2\in V\)
Find ??? I didn't get the question also. :)
Can you please take a snapshot or post the link??

Answer 18

From everything else he posts, my guess is it is something intro level into this topic. Often the definition alone will solve his questions. So what could be one of the most basic things to find?

Answer 19

If it is just find the images of \(\emptyset1,2,3\) It is easy.