प्रत्येक समाकलनीय फलन एकदिष्ट होता है।
प्रत्येक समाकलनीय फलन एकदिष्ट होता है, इसे प्रमाणित करने के लिए मान लीजिए कि $f$ एक समाकलनीय फलन है। यदि $f$ एकदिष्ट न हो, _________ ___ ________ _____ ______ __________ ____ _____ ______ ______ __________.
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Trace the curve y2 (x+1) = x2 (3-x) clearly stating all the properties used for tracing it.
Which of the following statements are true or false? Give reasons for your answer in the form of a short proof or a counter-example, whichever is appropriate.
a) The set {S ∈R :x2 - 3x + 2 = 0}is an infinite set.
b) The greatest interger function is continuous on R.
c)
d) Every integrable function is monotonic.
e) a⊕b = a + b defines a binary operation on Q, the set of rational numbers.
चक्रज x = α(θ −sinθ),y = α 1( − cosθ) की लम्बाई ज्ञात कीजिए और दर्शाइए कि रेखा θ = 2π/3 इसे 1:3 के अनुपात: में विभक्त करती है।
का मान ज्ञात कीजिए।
Find the area between the curve y2(4-x) = x3 and its asymptote parallel to y-axis.
Which of the following statements are true or false? Give reasons for your answer in the form of a short proof or a counter-example, whichever is appropriate.
a) The set {S ∈R :x2 - 3x + 2 = 0}is an infinite set.
b) The greatest interger function is continuous on R.
c)
d) Every integrable function is monotonic.
e) a⊕b = a + b defines a binary operation on Q, the set of rational numbers.
Express as a sum of partial fractions.