Question

1.) A motor has 5 speeds varying from 29 rpm to 464 rpm in a Geometric Progression.

(a)Calculate the common ratio

(b)Make a table of the speeds.

2.)

a.)Solve by calculating a value for the following Maclaurinseries when

𝑥=3to 3 decimal places.

𝒇(𝒙)=𝒙/𝒆

b.)Solve using power series prove:

𝒅/𝒅𝒙(𝒆^𝒙)=𝒆^x