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This is Calculus and vector course for grade 12 high school. Those are the questions I need help with and I also attached photo of

image text in transcribed

This is Calculus and vector course for grade 12 high school.

Those are the questions I need help with and I also attached photo of formula sheet in case you need it as a reference. Those are two questions and question 8 has 3 small parts questions on it.

image text in transcribed
7. Provide a neat, fully labeled sketch of f (x) = x3(x - 1)3 f'(x) = *(11x-9) x(88x2-144x+54) 3 (x-1) 3 f" (x) =20 [5A2T1 Cmarks] 9(x-1)3 8 . A river is 800m wide and flows eastward at 10m / s . Peter is driving a motorboat heading always perpendicular to the current. The speed of the motorboat in still water is 20m / s. [1C+2A marks] a) Draw a diagram to illustrate the situation. b) What is the speed of the boat relative to ground? c) How much downstream does Peter reach the opposite bank

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