The area bounded by the 2 parabolas is A(θ) = 1/2∫(r₂²- r₁²).dθ between limits θ = a,b...
<span>the limits are solution to 3cosθ = 1+cosθ the points of intersection of curves. </span>
<span>2cosθ = 1 => θ = ±π/3 </span>
<span>A(θ) = 1/2∫(r₂²- r₁²).dθ = 1/2∫(3cosθ)² - (1+cosθ)².dθ </span>
<span>= 1/2∫(3cosθ)².dθ - 1/2∫(1+cosθ)².dθ </span>
<span>= 9/8[2θ + sin(2θ)] - 1/8[6θ + 8sinθ +sin(2θ)] .. </span>
<span>.............where I have used ∫(cosθ)².dθ=1/4[2θ + sin(2θ)] </span>
<span>= 3θ/2 +sin(2θ) - sin(θ) </span>
<span>Area = A(π/3) - A(-π/3) </span>
<span>= 3π/6 + sin(2π/3) -sin(π/3) - (-3π/6) - sin(-2π/3) + sin(-π/3) </span>
<span>= π.</span>
The correct answer is 523.33 mm^3
//p.s I already took the test and this was the correct answer//
hope I helped :)
Answer:
he would be at 16.50ft. below sea level.
Step-by-step explanation:
If you are below sea level, the feet would be negative. -11.75 + -4.75 would be -16.50ft below sea level.
Let me know if this helps!!!!
:D
There are 12 months in a year. The rental term is for 2 years, that's a total of 24 months.
They pay $505 every month
24 months × $505 = $12,120 paid over the lease term.
answer is D.
Answer:
Kelvin wrote 60 the wrong way.
He has to write $30.65 - 60%, not 0.60.
Here is the final correct equation:
$30.65 - 60% = 12.26
