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\text { a) Evaluate the double integral } \iint_{R} \cos \left(x^{2}\right) d x d y \text { exactly, where } R: \frac{1}{2} y \leq x \leq 1,0 \leq y \leq 2 \text {. Draw a picture of the region of integration, } and indicate on your picture what direction you are integrating. ) Find the equation of the tangent plane to f at the point (1, 2,-2), and use it to approximate the value of f(1.1, 1.95).

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