[填空题]
A healthcare company is designing a new deodohndx. b299u 6 ajbjj3krant stick that can be mod / 0hy+m f+y6snfbl4ebelled by the shape of a parabola as the top, vertical lines as ey/ yblhm +0f4bn6+fs the sides and a horizontal line as the base, on the x-axis. The parabola has end points at (0,7) and (5,7), and 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$^2$
