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2 years ago

Translate each algebraic expression or equation into a verbal phrase 9y

Mathematics

1 answer:

rosijanka [135]2 years ago

5 0

Answer: just multiply 9 and y together: 9 x y

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Answer this! <br><br> 18 divides x

Darya [45]

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1 year ago

Find the length of the curve. R(t) = cos(8t) i + sin(8t) j + 8 ln cos t k, 0 ≤ t ≤ π/4

arsen [322]

we are given

$R(t)=cos(8t)i+sin(8t)j+8ln(cos(t))k$

now, we can find x , y and z components

$x=cos(8t),y=sin(8t),z=8ln(cos(t))$

Arc length calculation:

we can use formula

$L=\int\limits^a_b {\sqrt{(x')^2+(y')^2+(z')^2} } \, dt$

$x'=-8sin(8t),y=8cos(8t),z=-8tan(t)$

now, we can plug these values

$L=\int _0^{\frac{\pi }{4}}\sqrt{(-8sin(8t))^2+(8cos(8t))^2+(-8tan(t))^2} dt$

now, we can simplify it

$L=\int _0^{\frac{\pi }{4}}\sqrt{64+64tan^2(t)} dt$

$L=\int _0^{\frac{\pi }{4}}8\sqrt{1+tan^2(t)} dt$

$L=\int _0^{\frac{\pi }{4}}8\sqrt{sec^2(t)} dt$

$L=\int _0^{\frac{\pi }{4}}8sec(t) dt$

now, we can solve integral

$\int \:8\sec \left(t\right)dt$

$=8\ln \left|\tan \left(t\right)+\sec \left(t\right)\right|$

now, we can plug bounds

and we get

$=8\ln \left(\sqrt{2}+1\right)-0$

so,

$L=8\ln \left(1+\sqrt{2}\right)$ ..............Answer

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2 years ago

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erastovalidia [21]

False.

e is an irrational number, then it cannot be the ration of two integer numbers.

That expression is only an approximation to the value of e.

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lesantik [10]

Y=-x^2 is just y=x^2 reflected over the x-axis. In other words, the parabola is upside-down.

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2 years ago

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Subtract 2w + 4 from 3w + 6.

Gemiola [76]

(3w+6)-(2w+4)= w+2

Hope this helps

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Translate each algebraic expression or equation into a verbal phrase 9y ​

Translate each algebraic expression or equation into a verbal phrase 9y