Application [7 marks] 17 Consider the curve with equation: f(x) = *** + x3 – 4x2 + 5x + 5 Determine the exact coordinates of all the points on the curve such that the slope of the tangent to the curve at those points is 2. Note: A proper solution will require the factor theorem, long division and either factoring or the quadratic formula. [7 marks] Application Section 20 marks total 16. A keen math student has invented the new card gameCardle, which requires a special pack of cards to be purchased on Amazon.ca. The company currently sells 1000 packs of cards per day at a price of $5 per pack. It also estimates that for each $0.02 reduction in price, 10 more packs a day will be sold. Under these conditions, what is the maximum possible income per day, and what price per pack of cards will produce this income? Make a clear and concise final statement and include how much extra money they make with this new price structure. [6 marks]