المعدلات المرتبطة: Mathematics Tawjihi question with answer

A Tawjihi Mathematics question (التفاضل وتطبيقاته) with the answer and worked steps.

From the Tawjihi question bank: Mathematics · التفاضل وتطبيقاته

مكعب طول ضلعه الابتدائي $10$ cm ويتمدد بمعدل $6\,cm/s$ . أجد معدل تغير حجمه بعد $4$ s.

المعدلات المرتبطة

The answer

بعد

4

ثوانٍ:

s=10+6(4)=34

cm.

V=s^3

، لذا

\frac{dV}{dt}=3s^2\frac{ds}{dt}=3(34)^2(6)=20808\,cm^3/s

.

Explanation

القيمة الصحيحة

20808

وليست

20772

.

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