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2 years ago

Solve - 4x + 2 2 26. O A. X>6 O B. X<6 O C. X>6 O D. X<-6

Mathematics

1 answer:

vichka [17]2 years ago

7 0

Answer:

Step-by-step explanation:

This is quit complicated

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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:

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

$x=3t-t^3$

$\frac{dx}{dt}=3-3t^2$

$y=3t^2$

$\frac{dy}{dt}=6t$

replacing

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

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

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

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

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

$L=t^3+3t|_0^{\sqrt{3}}$

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

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2 years ago

Can somebody tell me how to do this?

valentinak56 [21]

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2 years ago

The relationship between voltage, E, current, I, and resistance, Z, is given by the equation E = IZ. If a circuit has a current

tangare [24]

The voltage of the circuit is 8 + i . Option C

<h3>How to determine the voltage</h3>

From the information given, we have that;

E = IZ

Where;

E is voltage
I is current
Z is resistance

We have that;

I = 3 + 2i

Z = 2 - i

Substitute into the formula

E = IZ

E = ( 3 + 2i) ( 2 - i)

Making the product of complex numbers we have:

E = ( 3 × 2 - i ) + ( 4i - 2i²)

E = ( 6 - 3i ) + ( 4i - 2 ( -1) )

E = ( 6 + 2) + ( 4 - 3 ) i

E = 8 + i

Thus, the voltage of the circuit is 8 + i . Option C

Learn more about voltage here:

brainly.com/question/14883923

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1 year ago

Bethany sent 60 text messages. She said that 15% of those messages were to her best friend. How many text messages did Bethany's

labwork [276]

15% of 60 = 9, so she sent 9 messages to her best friend.

Hope that helps.

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Expand the number 256 into its corresponding exponential form.

Nesterboy [21]

I believe it is 16squared

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