1) Flights of leaping animals typically have parabolic paths. The figure below illustrates a frog jump superimposed on a coordinate plane. The length of the leap is 9 feet, and the maximum height off the ground is 3dfeet. Find a standard equation (in the formy=a(xh)²+k

) for the path of the frog. In the graph, assumed=1.5.

Please give clear answers.

2)A business forms a model of its widget sales via a pricing functionp(x) =40050/8x

. Herexis the number of widgets sold andp(x)is the sales price in dollars per widget.

(a) Find the revenue functionR(x)for this business (revenue is total sales).

R(x)=

(b) Find the numberxsold that will maximize revenue. (This may be an unrealistic fraction, but don't round.)

x=

(c) What is the maximum revenue?

R(x)=dollars

(d) What is the pricep(x)that yields maximum revenue?

p(x)=dollars per widget

Please give clear answers. If you are sending a written work please write in a way that is understandable!!! Thank you.