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Harlamova29_29 [7]
2 years ago
5

Below this text is the question

Mathematics
1 answer:
elena-s [515]2 years ago
5 0
Jehebwhsjebvddndnene
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Find the length of the cardioid r=5+5cosθ.
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Hello,

r=5(1+cos t)

r'=5(-sin t)

r²+r'²= 25[(1+cos t)²+(-sin t)²]=50(1-cos t)=50 sin² (t/2)
Between 0 and π, sin x>0 ==>|sin x|=sin x
l= 2*5* \int\limits^{\pi}_0{sin( \frac{t}{2} )} \, dt= 5[-cos (t/2)]_0^{\pi}\\\\
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Here is the method but i may have make some mistakes.






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Write the solution in interval notation {x| 3 less than or equal to x}
klemol [59]

Answer:

Set in Interval Notation is:  [ 3, ∞)

Step-by-step explanation:

Here, the given expression is:

R  =  {x| 3 less than or equal to x}

Here, the given set is given in the ROSTER FORM of set.

Now, converting the statement in mathematical form, we get:

R  = { x : 3 ≤ x}

So, here: R is the SET OF AL ELEMENTS SUCH THAT each element is either EQUAL TO 3, or GREATER THAN 3.

Writing the st in SET BUILDER FORM, we get:

R = { 3, 4, 5, 6, ....... }

So, R in Interval Notation is:  [ 3, ∞)

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Step-by-step explanation:

it was X+12

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