Page 135 - Bangladesh_classwiz_BOOK2018_rev_Neat

Abykxjbx-12

1. (K) ( ) = −3 dvskbwU 0 ≤ ≤ 1e¨ewa‡Z wew”Qbœ| gv‡bi ZvwjKv e¨envi K‡i wew”QbœZvi we›`y Lyu‡R
5 −4
†ei Ki‡Z n‡e|
(L) GwU Kx Dj¤^ wew”QbœZv bv ms‡kvab‡hvM¨ wew”QbœZv?
2. (K) −10 ≤ ≤ 10 Gi g‡a¨ e¨eavb 1 wb‡q GKwU gv‡bi ZvwjKv cÖ¯‘Z Ki‡Z n‡e|
(L) gv‡bi ZvwjKvwU Kxfv‡e dvskbwUi cwieZ©‡bi nvi eY©bv K‡i?

(M) gv‡bi ZvwjKv e¨envi K‡i = 7 we›`y‡Z dvskbwUi AšÍi‡Ki gvb †ei Ki‡Z n‡e|
3. K¨vjKz‡jUi e¨envi K‡i mvswL¨K AšÍi‡Ki gvb †ei Ki‡Z n‡e|
2
(K) = 3 we›`y‡Z ( ) = + 2
2
2
(L) = −1 we›`y‡Z ( ) = 4 − 2 + 1
(M) = 5 we›`y‡Z ( ) = +1
2 −3
(N) = 1 we›`y‡Z ( ) = 1
2
−4
(O) = 4 we›`y‡Z ( ) ln
4. (K) lim 1−cos Gi gvb †ei Kivi Rb¨ gv‡bi ZvwjKv e¨envi Ki‡Z n‡e|
→0
(L) r e¨envi K‡i lim 5−4 Gi gvb †ei Ki‡Z n‡e|
→∞ 2 +3
3
5. (K) = −0.5, 0,0.5 Gi Rb¨ ( ) = + 3
2
©
(L) = −0.5, 0,0.5 Gi Rb¨ ( ) = − 5 Gi AšÍiK mnM wbYq Ki‡Z n‡e|
6. wb‡Pi wbw`©ó †hvMR¸‡jvi †ei Ki‡Z n‡e-
1 2
(K) ∫
0
5
(L) ∫ (3 − 1)
2
5 2
(M) ∫ (− + 4 + 1)
1
4 3 2
(N) ∫ ( − 5 + 2 + 8)
−1
2 3 2
(O) ∫ ( − 5 + 2 + 8)
−1
4 3 2
(P) ∫ ( − 5 + 2 + 8)
2
3
2
7. (K) ( ) = − 5 + 2 + 8 Ges Aÿ †hLv‡b = −1 †_‡K = 4 Gi gv‡Si ‡ÿÎdj
†ei Ki‡Z n‡e|
(L) = −1 †_‡K = 4 e¨ewa‡Z e¨eavb 0.2 wb‡q GKwU gv‡bi ZvwjKv ˆZwi Ki‡Z n‡e|
(M) gv‡bi ZvwjKv e¨envi K‡i dvskbwUi gvb −1 †_‡K 4 Gi g‡a¨ Kxfv‡e cwieZ©b nq Zv e¨vL¨v Ki‡Z
n‡e|
(N) = −1 †_‡K = 4 e¨ewa‡Z dvskbwUi †jLwPÎ AuvK‡Z n‡e|

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