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Food Designer

Create a new pasta shape

A pasta brand wants to add a new product to their selection, and appoints a food designer to create a nice one. Their final choice is for "Drops": the technical specifications to create this pasta shape show that its profile is modeled by a function of the family , for , and and are two real non negative parameters. The chosen unit for the graph is the centimeter.

Find the equation of the pasta outline

Find the values and such that the given function has the interval as domain, and has maximum value 2 cm.

The values a and b are...

Graph the pasta outline

Rotate, rotate, rotate...

If you rotate the graph of the function 180° about the x-axis, you obtain the final shape of this new pasta type.

Draw one "Drop"