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Application of Integration · 2021 · Shift 2

3 Mathematics questions from this JEE Advanced paper

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JEE Advanced
Papers
2021 · Shift 2
Mathematics
Application of Integration

Application of Integration · 2021 · Shift 2

3 Mathematics questions from this JEE Advanced paper

Q23.For any real numbers $α$ and $β$ , let $y_{α, β} (x)$ , x $\in$ R, be the solution of the differential equation $\frac{d y}{d x} + α y = x e^{β x}, y (1) = 1$ . Let $S = {y_{α, β} (x) : α, β \in R}$ …
Mathematics · Application of Integration · Multiple correct
Q28.Let f1 : (0, $\infty$ ) $\to$ R and f2 : (0, $\infty$ ) $\to$ R be defined by $f_{1} (x) = 0 \int x j = 1 \prod 21 (t - j)^{j} d t$ , x > 0 and $f_{2} (x) = 98 (x - 1)^{50} - 600 (x - 1)^{49} + 2450, x > 0$ ,…
Mathematics · Application of Integration · Numerical
Q29.Let f1 : (0, $\infty$ ) $\to$ R and f2 : (0, $\infty$ ) $\to$ R be defined by $f_{1} (x) = 0 \int x j = 1 \prod 21 (t - j)^{j} d t$ , x > 0 and $f_{2} (x) = 98 (x - 1)^{50} - 600 (x - 1)^{49} + 2450, x > 0$ ,…
Mathematics · Application of Integration · Numerical