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Dafna11 [192]
3 years ago
13

From the given information, find the value of x.​

Mathematics
2 answers:
igor_vitrenko [27]3 years ago
7 0

Answer:

X=45

Step-by-step explanation:

Lines AC and CD meet at a right angle so you half 90 =45

Zielflug [23.3K]3 years ago
4 0

Answer:

x/24

Step-by-step explanation:

bc we smarttttttt

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How do you find the length of the curve x=3t−t3x=3t-t^3, y=3t2y=3t^2, where 0≤t≤3√0<=t<=sqrt(3) ?
taurus [48]
It's simple, you just have to do this:

L=\int\limits_{a}^{b}\sqrt{\left(\frac{dx}{dt}\right)^2+\left(\frac{dy}{dt}\right)^2}~dt

x=3t-t^3

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y=3t^2

\frac{dy}{dt}=6t

replacing

L=\int\limits_{0}^{\sqrt{3}}\sqrt{\left(3-3t^2\right)^2+\left(6t\right)^2}~dt

L=\int\limits_{0}^{\sqrt{3}}\sqrt{9-18t^2+9t^4+36t^2}~dt

L=\int\limits_{0}^{\sqrt{3}}\sqrt{9+9t^4+18t^2}~dt

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L=\int\limits_{0}^{\sqrt{3}}(3t^2+3)~dt

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\boxed{\boxed{L=3\sqrt{3}+3\sqrt{3}=6\sqrt{3}}}
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