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goldenfox [79]
3 years ago
9

Find the exact length of the curve. Use a graph to determine the parameter interval.. r = (cos(θ/2))^2

Mathematics
1 answer:
harkovskaia [24]3 years ago
8 0
Cos(2θ) = 2cos^2θ - 1, 

<span> cos^2(θ/2) </span>
<span>Solving  </span>
<span>cos^2θ = [1 + cos(2θ)]/2. </span>

<span>replacing θ with θ/2 gives. </span>
<span>cos^2(θ/2) = (1 + cosθ)/2. </span>

<span>length of a polar curve of the form r = f(θ) on [a, b] is given by: </span>
<span>L = ∫ √[r^2 + (dr/dθ)^2] dθ (from θ=a to b). 
hope this helps</span>
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?? anyone know thank you
lana66690 [7]

Answer:

19/20 is the correct answer

7 0
2 years ago
Read 2 more answers
Ameeta finished 12 math problems. David finished 3 times as many. How many more math problems did David finish than Ameeta?
Volgvan
  • Answer:
  • david finished 24 problems more than ameetha
  • Step-by-step explanation:
  • <em>problems finished by ameetha = 12 problems</em>
  • <em>problems finished by ameetha = 12 problemsproblems finished by David = 3 times more than ameethas problem = 3*12 = 36</em>
  • <em>problems finished by ameetha = 12 problemsproblems finished by David = 3 times more than ameethas problem = 3*12 = 36the problems finished by David more than ameetha =</em>
  • <em>problems finished by ameetha = 12 problemsproblems finished by David = 3 times more than ameethas problem = 3*12 = 36the problems finished by David more than ameetha =36-12= 24 </em>
  • <em>problems finished by ameetha = 12 problemsproblems finished by David = 3 times more than ameethas problem = 3*12 = 36the problems finished by David more than ameetha =36-12= 24 so David finished 24 problems more than ameetha</em>
8 0
3 years ago
A ball of radius 11 has a round hole of radius 5
inn [45]

Answer:

3,847.40376

Step-by-step explanation:

Volume of a sphere=

4/3π(11)³=5,575.27976

Volume of a cylinder=

π(5)²(22)=1,727.876

Total volume=

5,575.27976-1,727.876=3,847.40376

3 0
3 years ago
PLEASE HELP! Match the steps to find the equation of the parabola with focus (-1, -8) and directrix y = - 12.
nevsk [136]

Answer:

3,2,1,6,5,4

Step-by-step explanation:

Hope this helps!!!

4 0
2 years ago
If f(x) = 3LX-2], what is f(5.9)? 9 10 11 12​
Black_prince [1.1K]

Answer: 12

Step-by-step explanation:

We know that , the ceiling function y = [x] is also known as the least integer function that gives the smallest integer greater than or equal to x.

For example : For x= 1.5

y = [1.5] =2

For x= 3.64

y = ⌊3.64⌋=4

The given function :

Then, for x= 5.9 , we have

[since [3.9]=4 (least integer function)]

Therefore, the value of f(5.9) is 12

6 0
3 years ago
Read 2 more answers
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