A propeller on a ship has an initial angular velocity of 5.1 rad>s and an angular acceleration of 1.6 rad>s2. What is the angular velocity of the propeller after 3.0 s?

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

the answer is 13

step-by-step explanation:

5*5=25

12*12=144

25+144=169

169^2=13