1) For a forward difference table the points $$(x_0,y_0),(x_1,y_1),(x_2,y_2),dots$$ with $$h=x_1-x_0=x_2-x_1=dots$$ so on, and for the function $$y=x^n,$$ say, which of the following statements is true? A) $$frac{Delta^2y_0}{h^2}=12$$ B) $$frac{dy}{dx}=3x^2$$ C) $$frac{d^2y}{dx^2}=6x|_2=12$$ D) $$frac{Delta^2y_0}{h^2}=frac{d^2y}{dx^2}|_{x=x_1}$$   2) “If $$f(x)$$ is continuous in $$(a,b),$$ then for any $$x$$ in that interval, we shall...

समय: चार घंटा फ्ररवरी 02, 2014 निर्देश: • किसी भी तरह कैलकुलेतर तथा चांदा (protractor) के उपयीग की अनुमति नहीं है। • पैमाना (ruler) तथा परकार (compass) उपयीग किये जा सकते हैं। • सभी प्रश्नों का उत्तर दीजिये। सभी प्रश्नों के अंक समान हैं। अधिकतम अंक: 102 • प्रत्येक प्रश्न के...

[In Historical Perspective]      [Creators of Modern Topology] There are indications that there is growing interest among mathematicians in the history of the development of Mathematics. We believe that the there is reason to be glad with such a tendency. After many hundred years of explosive development,...

[caption id="attachment_5730" align="aligncenter" width="627"] Art : Bedanga Kakaty, Class X.[/caption] [caption id="attachment_5731" align="aligncenter" width="630"] Art : Nilotpal Kakati, HS 2nd year student.[/caption] [caption id="attachment_5732" align="aligncenter" width="629"] Art : Nilotpal Kakati, HS 2nd year student.[/caption] [caption id="attachment_5735" align="aligncenter" width="631"] Art : Nilotpal Kakati, HS 2nd year student.[/caption] [caption id="attachment_5736" align="aligncenter"...