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vodka [1.7K]
3 years ago
13

Evaluate sin(arcsin1.7)

Mathematics
1 answer:
Andrei [34K]3 years ago
7 0
Recall that \arcsin x is only defined for -1\le x\le1, and under this condition we have that \sin(\arcsin x)=x. But 1.7 > 1, so \arcsin1.7 is not a real number.
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The largest volume possible from one piece of paper for open-top box is 64.296 cubic unit.

<h3>What is meant by the term maxima?</h3>
  • The maxima point on the curve will be the highest point within the given range, and the minima point will be the lowest point just on curve.
  • Extrema is the product of maxima and minima.

For the given question dimensions of open-top box;

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dV/dx = 12x² - 72x + 93.5

Put the Derivative equals zero to get the critical point.

12x² - 72x + 93.5 = 0.

Solve using quadratic formula to get the values.

x = 4.1  and x = 1.9

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V(4.1) = 3.44 cubic unit.

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V(1.9) = 64.296 cubic unit. (largest volume)

Thus, the largest/maximum volume possible from one piece of paper for open-top box is 64.296 cubic unit.

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