[填空题]
A healthcare company is desigvf7 :d- 8xu 7dy8b6qosd knn.lning a ne shwfan4rln ;, wh f5zv85m2td-y7qh *w deodorant stick that can be modelled by the shape of a parabola as the top, vertical lines as the sides and a horizontal line as the base, on the x-axis. The parabola has end points at (0,7) and (5,7), and5q- ,lry h 4tsnw*72nh d8m; h5zvwaff vertex at (2.5,8).
This design is shown in the diagram below. All distances are measured in centimetres.
The quadratic curve can be expressed in the form y=ax2+bx+c for 50≤x≤5.
1.(1)Find the value of c. c =
(2)Using the points(2.5,8) and (5,7), write two equations in a and b.
(3)Hence, find the equation of the quadratic curve. y=$ax^b+cx+d$ a = b = c = d =
2.Find the area of the shaded region in the deodorant design. Area ≈ cm$^2$
