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Citrus2011 [14]
3 years ago
13

8x2 − 5 + 7x4 − 9x − x5

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
8 0

Answer:

=-\left(x-1\right)\left(x^4-6x^3-6x^2-14x-5\right)

Step-by-step explanation:

Factor out comon Term -1

=-\left(x^5-7x^4-8x^2+9x+5\right)

Factor x^5-7x^4-8x^2+9x+5:\quad \left(x-1\right)\left(x^4-6x^3-6x^2-14x-5\right)

x^5-7x^4-8x^2+9x+5

Use the rational root theorem

a_0=5,\:\quad a_n=1

The dividers of a_{0}: 1, 5, The dividers of a_n: 1

Therefore, check the following rational numbers: ±\frac{1,\:5}{1}

\frac{1}{1} is a root of the expression, so factor out x-1

=\left(x-1\right)\frac{x^5-7x^4-8x^2+9x+5}{x-1}

\frac{x^5-7x^4-8x^2+9x+5}{x-1}=x^4-6x^3-6x^2-14x-5

=x^4-6x^3-6x^2-14x-5

=-\left(x-1\right)\left(x^4-6x^3-6x^2-14x-5\right)

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| | means absolute value. Absolute value is always positive, so your equation would be evaluated to 9 + 1 = 10

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Carl is making the kite shown (shorter sides measure 24 inches) with a perimeter of 120 inches
elena-14-01-66 [18.8K]

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Step-by-step explanation:

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Which function has zeroes at npi/2, where n is an odd integer. Select two of the following that apply.
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y=cosx

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Step-by-step explanation:

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y=\cos(x) has zeroes at \frac{n\pi}{2} where n is an odd integer.

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Evaluate the line integral, where c is the given curve. C xeyz ds, c is the line segment from (0, 0, 0) to (2, 3, 4)
Arada [10]

The value of line integral is, 73038 if the c is the given curve. C xeyz ds, c is the line segment from (0, 0, 0) to (2, 3, 4)

<h3>What is integration?</h3>

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

The parametric equations for the line segment from (0, 0, 0) to (2, 3, 4)

x(t) = (1-t)0 + t×2 = 2t  

y(t) = (1-t)0 + t×3 = 3t

z(t) = (1-t)0 + t×4 = 4t

Finding its derivative;

x'(t) = 2

y'(t) = 3

z'(t) = 4

The line integral is given by:

\rm \int\limits_C {xe^{yz}} \, ds = \int\limits^1_0 {2te^{12t^2}} \, \sqrt{2^2+3^2+4^2} dt

 

\rm ds = \sqrt{2^2+3^2+4^2} dt

After solving the integration over the limit 0 to 1, we will get;

\rm \int\limits_C {xe^{yz}} \, ds = \dfrac{\sqrt{29}}{12}  (e^{12}-1)   or

= 73037.99 ≈ 73038

Thus, the value of line integral is, 73038 if the c is the given curve. C xeyz ds, c is the line segment from (0, 0, 0) to (2, 3, 4)

Learn more about integration here:

brainly.com/question/18125359

#SPJ4

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