Question

In: Math

Find the area enclosed by the polar curver= 2 cos(θ).

Find the area enclosed by the polar curver= 2 cos(θ).

Solutions

Expert Solution

we are given

Firstly, we will find bounds

now, we can use formula

now, we can set up integral

now, we can solve it

now, we can find area

.............Answer


Related Solutions

Find the area of the region enclosed by the polar curve r = 3−cos(6θ).
Find the area of the region enclosed by the polar curve r = 3−cos(6θ).
What is the area inside the polar curve r = 1 , but outside the polar curve r = 2 cos θ ?
What is the area inside the polar curve r=1, but outside the polar curve r=2cosθ?
Find the area enclosed by the function r=1-cos(theta).
Find the area enclosed by the function r=1-cos(theta).
Find the slope of the tangent line to the given polar curve at the point specified by the value of θ. r = 1 + 2 cos θ, θ = π/3
Find the slope of the tangent line to the given polar curve at the point specified by the value of θ. r = 1 + 2 cos θ, θ = π/3
1) Find the critical numbers of the function. f(θ) = 16 cos θ + 8 sin^2 θ
1) Find the critical numbers of the function.  f(θ) = 16 cos θ + 8 sin^2 θ θ=? 2) Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x/(x^2 − x + 9), [0, 9] 3) f(x) = 3x3 + 4x2 + 7x + 5,    a = 5 (f −1)'(a) = ?
(tan2(θ) − 16)(2 cos(θ) + 1) = 0
Solve the given equation. (tan2(θ) − 16)(2 cos(θ) + 1) = 0 θ =
Problem 2 Statement: Let r1 = 1 + cos θ and r2 = 3 cos θ....
Problem 2 Statement: Let r1 = 1 + cos θ and r2 = 3 cos θ. (a) Graph each function in the rθ-plane. (b) Find all intersection points (both collision and non-collision). (c) Find the area common to the two graphs.
Find the area of the region enclosed by the graphs of y^2 = x + 4...
Find the area of the region enclosed by the graphs of y^2 = x + 4 and y^2 = 6 − x
Find the area of the region enclosed by the curve r = 2 sin 3θ.
Find the area of the region enclosed by the curve r = 2 sin 3θ.
3. Let g(θ) = 2 cos(θ) + sin(2θ) . Find the absolute maximum and minimum values...
3. Let g(θ) = 2 cos(θ) + sin(2θ) . Find the absolute maximum and minimum values of g on the interval [0, π/2]
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT