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4 years ago

What math operation cancels out an exponent of 2?

Mathematics

1 answer:

guajiro [1.7K]4 years ago

5 0

Answer:

square root

Step-by-step explanation:

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3 years ago

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3 years ago

Find the values of c such that the area of the region bounded by the parabola

KATRIN_1 [288]

Solution-

The two parabolas are,

$y=16x^2-c^2 \ and \ y=c^2-16x^2$

By solving the above two equations we calculate where the two parabolas meet,

$So \ 16x^2-c^2 = c^2-16x^2 \Rightarrow 32x^2=2c^2 \Rightarrow x=\frac{1}{4}c$

Given the symmetry, the area bounded by the two parabolas is twice the area bounded by either parabola with the x-axis.

$\therefore Area=2\int_{-c}^{c}y.dx= 2\int_{-c}^{c}(16x^2-c^2).dx\\=2[\frac{16}{3}x^3-c^2x]_{-c}^{ \ c}=2[(\frac{16}{3}c^3-c^3)-(-\frac{16}{3}c^3+c^3)]=2[\frac{32}{3}c^3-2c^3]=2(\frac{26c^3}{3})\\=\frac{52c^3}{3}$

$So \frac{52c^3}{3}=\frac{250}{3}\Rightarrow c=\sqrt[3]{\frac{250}{52}}=1.68$

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4 years ago

A TV that usually sells for $187.57 is on sale for 15% off. If sales tax on the TV is 7%, what is the price of the TV, including

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I hope this helpfull.

Step-by-step explanation:

But if it not,im so sorry

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3 years ago

Marco has a 7 foot long sidewalk. He wants to divide it into 8 equal-length sections for a game. How long will each section of s

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3 years ago

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