Topic
Q:
Given two sequences \( \left\{a_{n}\right\} \) and \( \left\{b_{n}\right\} \) :
\[ \begin{aligned} a_{n} & =\frac{2 n}{n+1} \\ b_{n} & =\frac{1}{n^{2}}\end{aligned} \]
Q:
Add the polynomials: (x^4 + 3x^3 - x) + (2x^4 - 5x^3 + 4).
Q:
i) \( \frac{\tan \theta \cot \theta}{\sec \theta} \) equals:
A \( \sin \theta \)
Q:
Find the slope and the \( y \)-intercept of the graph of the equation.
\[ 8 x+9 y=36 \]
slope
\( y \)-intercept \( \quad(x, y)=(\square) \)
Q:
Evaluate the indefinite integral.
\( \int x^{2} \sqrt{15+x^{3}} d x \)
\( \square+C \)
Q:
Risolvi le seques
\( \frac{-x^{2}+7 x-12}{2 x^{2}-7 x+3} \geqslant 0 \)
Q:
प्रश्नाबानी 2.2
निम्न द्विघात बहुपदों के शून्यक ज्ञात कीजिए और शून्यकों तथा गुणांकों के बीच के संबंध की
सत्यता की जाँच कीजिए :
\( \begin{array}{lll}\text { (iv) } x^{2}-2 x-8 & \text { (ii) } 4 s^{2}-4 s+1 & \text { (iii) } 6 x^{2}-3-7 x \\ \text { (iv) } 4 u^{2}+8 u & \text { (v) } s^{2}-15 & \text { (vi) } 3 x^{2}-x-4\end{array} \)
Q:
Evaluate the definite integral.
\( \int_{0}^{\frac{\pi}{4}} \sin (4 t) d t \)
Q:
Evaluate the indefinite integral
\( \int 5 \sin ^{4} x \cos x d x= \)
Q:
Evaluate the definite integral.
\( \int_{0}^{1} \sqrt{1 x+3} d x \)
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