cos(2y – z) dx – 2x sin(2y – z) dy + x sin(2y – z) dz, where C is the curve r(t) (r, t, t), for 0

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State Green's Theorem as an equation of integrals, and explain when Green's Theorem applies and when it does not. Give an example of Green's Theorem in use, showing the function, the region, and the integrals involved. 4.

(5a) Evaluate the definite integral (-х+ 2) dx by interpreting it in terms of net area -- meaning: sketch the graph of the function and evaluate the integral by finding the geometric net area of the region. (5b) Check your final answer to part (5a) by evaluating the integral using Part 2 of the Fundamental Theorem of Calculus.