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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

image text in transcribedimage text in transcribed

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

Please show all work it's okay if handwritten.

image text in transcribedimage text in transcribed
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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