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Problem #11: Consider the integral [10 marks] e ( x 2 +y?) dx dy where & is a positive real number. Suppose / is rewritten in terms of the polar coordinates that has the following form 1 = ["['s.) ar de (a) Enter the values of a and b (in that order) into the answer box below, separated with a comma. (b) Enter the values of c and d (in that order) into the answer box below, separated with a comma. (c) Using : in place of @, find g(r, t). (d) Which of the following is the value of I? (e) Using the expression of / in (d), compute the lim I (f) Which of the following integrals correspond to lim I? (Hint for 11(f): Do not try to compute the integrals. Look at the definition of / given earlier.) Enter your answer as a symbolic Problem = 11(a): function of k, as in these examples Enter your answer as a symbolic Problem = 11(b): function of k, as in these examples Enter your answer as a symbolic Problem = 11(c): function of nt, as in these examples (A) (1-e) (Ba(1-et) (91(1-ek) ) =(1-ek) Problem = 11(d): Select \\ | | part (d) choices. Problem =11(e): Enter your answer symbolically, as in these examples Problem =11(f): Select v ] | part (f) choices