যদি  হয়, যাতে f(0) = 0 এবং f(3) = 15,তাহলে k এর মান নির্ণয় করুন।

  1. 5/3
  2. 3/5
  3. – ৫/৩
  4. - 3 / 5

Answer (Detailed Solution Below)

Option 3 : – ৫/৩
Free
NDA 01/2025: English Subject Test
30 Qs. 120 Marks 30 Mins

Detailed Solution

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ধারণা:

একীকরণ হল পার্থক্যের বিপরীত প্রক্রিয়া এবং তাই একে অ-পৃথকীকরণ বলা হয়।

অর্থাৎ যদি g(x) = f'(x) হয়, তাহলে

গণনা :

প্রদত্ত: , যাতে f(0) = 0 এবং f(3) = 15 .

এখন, f'(x) সংহত করে পাই,

যেহেতু প্রদত্ত, f(0) = 0 এবং f(3) = 15

⇒ k = - 5/3

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