Question: Please help with problems 47,55,57 in pics. Please show all work it's okay if handwritten. 47. Suppose f and g are continuous functions such that

Please help with problems 47,55,57 in pics.

Please show all work it's okay if handwritten.

47. Suppose f and g are continuous functions such that g (2) = 6 and lime-+2 [3f (x) + f (x) g (x)] = 36. Find f ( 2).57 and 58 [a] Prove that the equation has at least one real root. (b) Use your calculator to nd an interval of length 0.01 that contains a root

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