Question
The value of $c+2$ for which the area of the figure bounded by the curve $y=8 x^{2}-x^{5}$; the straight lines $x=1$ and $x=c$ and $X$ -axis is equal to $\frac{16}{3}$, is ..........
Step 1
The area \( A \) can be expressed as the integral of the curve from \( x = 1 \) to \( x = c \): \[ A = \int_{1}^{c} (8x^2 - x^5) \, dx \] Show more…
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The value of $c$ for which the area of the figure bounded by the curve $y=8 x^{2}-x^{5}$, the straight lines $x=1$ and $x$ $=c$ and the $x$-axis is equal to $16 / 3$, is (A) 2 (B) $\sqrt{8-\sqrt{17}}$ (C) 3 (D) $-1$
Find the values of $ c $ such that the area of the region bounded by the parabolas $ y = x^2 - c^2 $ and $ y = c^2 - x^2 $ is 576.
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Find the values of $c$ such that the area of the region bounded by the parabolas $y=x^{2}-c^{2}$ and $y=c^{2}-x^{2}$ is $576 .$
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