Question

Use a double integral to find the area enclosed by a loop of the four leaved rose

r = 3 cos(2θ).

EXAMPLE 3 Use a double integral to find the area enclosed by a loop of the four leaved rose r-3 cos(26) SOLUTION From the sketch of the curve in the figure, we see that a loop is given by the region So the area is /4 3 cos(28) Video Example dA= n/a 3 cos(26) -π/4 0 π/4 t/4 Tt/4 -π/4 cos*(20) dθ ( 1 + cos(49)) dθ 9 -π/4Please mark the answers

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