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4. (Chapter 17,Section 19.1) Consider the region R bounded by the lines y = -3r and y = 3r and the parabola y = 4-12.
4. (Chapter 17,Section 19.1) Consider the region R bounded by the lines y = -3r and y = 3r and the parabola y = 4-12. (b) Using this F and Green's theorem (Theorem 19.1.1), write the area integral 1 dA as R a line integral. [Hint: Any function y = f(x) can be parametriced by r(t) = (t, f(t)). This can be used to parametrist both the line and the parabola]. (4) (c) Using this line integral, find the area of R. (9)
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