को आंशिक भिन्नों के योग में व्यक्त कीजिए।
यह समीकरण \( \frac{x-1}{x^3 - x^2 - 2x} \) को आंशिक भिन्नों के रूप में व्यक्त करना है। सबसे पहले, हम समीकरण के गुणज को फैक्टर करेंगे: \[ x^3 - x^2 - 2x = x(x^2 _________ _______ _______ __________ _________.
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वक्र y2 (x + 1) = x2 (3 - x) का आरेखण कीजिए और ऐसा करने के लिए प्रयोग किए गये गुणधर्म भी लिखिए।
समीकरण हल कीजिए, जिसके सभी मूल ग.पी. में हैं
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.
का मान ज्ञात कीजिए।
If y=em sin -1 X, then show that . Hence using Leibnitz’s formula, find the value of
.
Find the length of the cycloid x = α(θ −sinθ),y = α 1( − cosθ) and show that the line θ = 2π/3 divides it in the ratio 1 : 3.
Find the largest subset of R on which the function :f R → R defined as:
is continuous.