y=8x-x2 P (5,15) Figure 2 (8,0) - x and line Figure 2 shows the curve y = 8x curve at point P (5, 15). The curve meets the x- (a) Find the equation of line 1. Give your answer in the form y = mx + c. which is a tangent to the axis at the origin and (8,0). (b) Find the area, which is shaded on the diagram, that is bounded by the curve y = 8x - x², line I and the x - axis. Point Q lies on the curve y = 8x - x² where the tangent to the curve is perpendicular to line 1. (c) Find the coordinates of point Q.

Q: 3y² - 2y-1 (-)-5y²- 2y +6

A:

Q: 5(18)

A: To find5(18)

Q: 2) 36³x=¹

A:

Q: expand (a-b)7

A: The solution is given in the next step.

Q: 4root2*4root2

A:

Q: +–3m+–9m+4+5+–10m

A: The expression is given as 1+–3m+–9m+4+5+–10m. Simplifying the given expression. 1+–3m+–9m+4+5+–10m…

Q: 4. Expand and simplify (2x + 3)*

A: We have to expand and simplify the following expression: . We will apply the binomial theorem to…

Q: d. 1 3a+18 = 1 - 8 a+6

A:

Q: limx→- f(x) limo+ f(x) limx→ = = =

A:

Q: 18(9+7)+3

A: 18(9+7)+3

Q: expand (x+y)6

A: