Question: Assume that z=f(x,y) is a continuous function over the region R . Assume a=3 . Express the double integral _(R)f(x,y)dA over R as an iterated

Assume that

z=f(x,y)

is a continuous function over the region

R

. Assume

a=3

.\ Express the double integral

_(R)f(x,y)dA

over

R

as an iterated integral using polar coordinates.\

_(R)f(x,y)dA=\\\\int_(\\\\theta _(1))^(\\\\theta _(2)) \\\\int_(r_(1))^(r_(2)) f(rcos(\\\\theta ),rsin(\\\\theta ))rdrd\\\\theta

\ (Express numbers in exact form. Use symbolic notation and fractions where needed.)\

\\\\theta _(1)=

\\\\theta _(2)=

r_(1)=

r_(2)=

Assume that z=f(x,y) is a continuous function over the region R. Assume a=3. Express the double integral Rf(x,y)dA over R as an iterated integral using polar coordinates. Rf(x,y)dA=12r1r2f(rcos(),rsin())rdrd (Express numbers in exact form. Use symbolic notation and fractions where needed.)

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