वक्र और इसकी y-अक्ष के समांतर अनंतस्पर्शी के बीच का क्षेत्रफल ज्ञात कीजिए
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) यदि है, तो दर्शाइए कि
है। इस प्रकार लाइब्निट्ज के सूत्र का प्रयोग करके (1 - x2)yn+2 - (2n + 1)xyn+1 का मान निकालिए।
के सभी मूल ज्ञात कीजिए।
If the revenue function is given by , x being the input, find the maximum revenue. Also find the revenue function R, if the initial revenue is 0.
b) Trace the curve , clearly stating all the properties used for tracing it.
वक्र और इसकी y-अक्ष के समांतर अनंतस्पर्शी के बीच का क्षेत्रफल ज्ञात कीजिए
वह प्रतिबंध ज्ञात कीजिए कि वक्र और
एक-दूसरे को लम्बवत् प्रतिच्छेद करते हैं।
The set of real numbers with the usual addition (+) and usual multiplication (.) is given. Define (*) on
as:
Is () associative in ? Is (.) distributive over (*) in
? Check.
Find the length of the cycloid and show that the line
divides it in the ratio 1 : 3.
b) Find the condition for the curves, and
intersecting orthogonally.